I need help ASAP with this pyramid scale factor question!

I Need Help ASAP With This Pyramid Scale Factor Question!

Answers

Answer 1

Answer:

C

Step-by-step explanation:

because 14 is 7 x 2 the scale factor from the small pyramid to the big pyramid would be 1/2

Answer 2

Answer:

  (b)  1/8

Step-by-step explanation:

You want the ratio of the volume of the small pyramid to that of the larger one, given their base lengths are 7 and 14 units.

Scale factor

The pyramids are presumed to be similar, so the ratio of the sides given is also the ratio of the unmarked sides and the heights. The volume ratio is the cube of this ratio of side lengths:

  smaller/larger sides = 7/14 = 1/2

  smaller/larger volumes = (1/2)³ = 1/8

The ratio of the volume of the small pyramid to the larger is 1/8.

<95141404393>


Related Questions

a pizza restaurant gave a 20% discount on the supreme pizza which cost $16. what was the sale price?

Answers

Answer:

you saved $3.20

Step-by-step explanation:

16 x 20/100

16 x 0.2

= 3.20

so 16-3.20= 12.80

final price is 12.80

Rewrite in simplest term: -6(0.6w-3w-0.9)-0.9w

Answers

Simplify the expression
Answer: 13.5w+5.4

Answer:

13.5w + 5.4.

Step-by-step explanation:

Using the distributive property, we would write it out like
-6(0.6w-3w-0.9)-0.9w = -3.6w + 18w + 5.4 - 0.9w
Then we would combine like terms by adding the coefficients of the w terms:
-3.6w + 18w - 0.9w = 13.5w
Lastly we can add the constant terms.
13.5w + 5.4 = 13.5w + 5.4

Which is the graph of the function f(x) = Negative StartRoot x EndRoot?

Answers

Answer:

The answer is the third graph or c

Step-by-step explanation:

I just did the test and the other guy is correct to.

Answer:

If you are on edg 2021 then it is the graph with the line going down from 0 to the bottom left square of the graph

Step-by-step explanation:

So it is the first graph.

Which function is graphed below?

Answers

Answer:

daddy chill

Step-by-step explanation:

what does te guy say?

Select the correct answer from each drop-down menu. triangle abc is represented. points d and f are marked on side ab and points e and g are marked on side ac. segments de and fg are drawn. if , then line segment is parallel to line segment .

Answers

If points d and f are on side ab and points e and g are on side ac then line segments de and fg are parallel

What are parallel lines?

Parallel lines are those lines that do not meet at any point. If we draw a triangle ABC and plot points d and f are marked on side ab and points e and g are marked on side ac then the line segment fg is parallel to de because both the line segments are drawn from the points which are on the sides opposite to each other. We have assumed a simple triangle because no description is given for the triangle

Hence the line segment fg is parallel to de if drawn points d and f marked on ab and points e and g are marked on ac.

Learn more about parallel lines

https://brainly.com/question/12065995

#SPJ1

Simplify the expression. Explain each step.
6+ (5 + x)
6+ (5 + x) =
11
Expression
10
:: (5 + x) +6
Expression
:: 11+x
:: x + 30
Explanation
Add 6 and 5.
:: (6+5) + x
Property of Addition
Explanation
:: Commutative
:: Associative

Simplify the expression. Explain each step.6+ (5 + x)6+ (5 + x) =11Expression10:: (5 + x) +6Expression::

Answers

The simplification of the expression 6 + (5 + x) is 11 + x

How to simplify expressions?

6 + (5 + x)

Based on the associative property

= (6 + 5) + x

Add 6 and 5

= 11 + x

Associative property states that the rearranging of parenthesis in an expression will not change the result.

Commutative property on the other hand states that the numbers on which we operate can be interchanged or moved from their position without making any difference to the result.

Ultimately, the results of 6 + (5 + x) is 11 + x

Read more on simplification of expression:

https://brainly.com/question/723406

#SPJ1

A real estate magazine reported the results of a regression analysis designed to predict the price (y), measured in dollars, of residential properties recently sold in a northern Virginia subdivision. One independent variable used to predict sale price is GLA, gross living area (x), measured in square feet. Data for 157 properties were used to fit the model Ely) = Bo + B1x. The results of the simple linear regression are provided below. y = 96,600 + 22.5x 5 = 6500 R 2 = 77 t = 6.1 (for testing B1) Interpret the value of the coefficient of determination, R2 There is a moderately strong positive correlation between sale price (y) and GLA (x). GLA (x)is linearly related to sale price (y) 77% of the time. 77% of the observed sale prices (y's) will fall within 2 standard deviations of the least squares line. 77% of the total variation in the sample sale prices can be attributed to the linear relationship between GLA (x) and (y).

Answers

The coefficient of determination, R^2, represents the proportion of the total variation in the dependent variable (sale price, y) that can be explained by the independent variable (gross living area, GLA, x) in a linear regression model.

In this case, the given value of R^2 is 0.77 (or 77%). This means that approximately 77% of the total variation in the sale prices of the properties in the sample can be attributed to the linear relationship between the gross living area and the sale price.

Interpreting this value:

- The value of 0.77 indicates a relatively high coefficient of determination. It suggests that the model is able to explain a significant portion of the variability in sale prices based on the variation in the gross living area.

- The higher the R^2 value, the more accurately the model can predict the sale prices based on the gross living area.

- In this case, the linear regression model with the gross living area as the independent variable accounts for 77% of the observed variation in sale prices.

It is important to note that the coefficient of determination, R^2, does not indicate causality but rather the strength of the linear relationship and the proportion of the variability explained by the model.

Visit here to learn more about coefficient of determination brainly.com/question/31891074

#SPJ11

Students were asked to add 0.65 + 12.3 + 0.005 . Tatiana added and go 1.93 as an answer, while Kyree go 19.3 as an answer. Without performing the addition yourself, how do you know that both students meade errors in their work, perhaps in lining up the decimal points.

Answers

Answer:

12.955

Step-by-step explanation:

you know they made errors because between all the numbers, the whole number is 12 and the rest are 0, which means that the whole number part cannot be less than 12. While for the decimal part the largest number of decimal places is 3, and that what your final answer has to have. I hope this helped :)

Help ASAP


How many solutions does 2x-6=-2(x-3) have??

Answers

Answer:

x=3 one solution

Step-by-step explanation:

2x minus 6=-2x+6

2x+2x=6+6

4x=12

divide by 4

x=3

so it has one solution

A figure in the second quadrant is reflected over the y-axis. In which quadrant will the reflected figure appear?

Answers

Answer:

The first quadrant

Step-by-step explanation:

If the figure in the second quadrant is reflected over the y-axis, then the reflected figure will appear in the first quadrant.

Given that:

A figure is in the second quadrant.

Then, it is reflected over the y-axis.

After the reflection of a figure, the resulting figure or the reflected image will be the mirror image of the figure.

Since the reflection is over the y-axis, the figure will be reflected through the right of the original figure.

So, the reflected figure will appear on the first quadrant.

In another way, the coordinates of a point on the second quadrant will be (-x, y).

After reflection over the y-axis, the x-coordinate will become negative.

So, the coordinate will be (x, y), which is in the first quadrant.

Hence, the reflected figure will be in the first quadrant.

Learn more about Reflection here :

https://brainly.com/question/15487308

#SPJ3

SELF-CHECK 1: Evaluate the expression given. Write the numerical answer
as a fraction below. *
1 point
2 3
+
5.7
Your answer

Answers

Step-by-step explanation:

so 2.3 + 5.7 is 8.0 is the answer

What is the expected value for the binomial
distribution below?
Successes
0
1
2
3
4
5
Probability
1024/3125
256/625
128/625
32/625
4/625
1/3125

Answers

The expected value for the given binomial distribution is approximately 0.91648.

To calculate the expected value for a binomial distribution, you need to multiply each possible value by its corresponding probability and then sum them up. Let's calculate the expected value using the provided probabilities: Successes Probability

0 1024/3125

1 256/625

2 128/625

3 32/625

4 4/625

5 1/3125

Expected Value (μ) = (0 * (1024/3125)) + (1 * (256/625)) + (2 * (128/625)) + (3 * (32/625)) + (4 * (4/625)) + (5 * (1/3125)). Expected Value (μ) = 0 + 0.4096 + 0.32768 + 0.1536 + 0.0256 + 0.00032. Expected Value (μ) = 0.91648. Therefore, the expected value for the given binomial distribution is approximately 0.91648.

To learn more about probability, click here: brainly.com/question/16988487

#SPJ11

A Simple Maximization Problem

Consider the following linear programming problem
a. List all the extreme points of the feasible region. b. Find the optimal solution and the objective function value.
c. List the values of all the slack variables.
a. (0,0),(5,0),(3.75,3.75),(3.5,4.5),(0,8); b. x=3.5,y=4.5,OFV=59.5;c.s1=0,s2=2,s3=0
a. (0,0),(5,0),(3.5,4.5),(0,8); b. x=3.5,y=4.5,OFV=59.5;c.s1=0,s2=2,s3=0.
a. (0,0),(5,0),(3.75,3.75),(6,4),(0,8); b. x=6,y=4,OFV=76;c1.s1=5,s2=0,s3=2.
a. (0,0),(5,0),(8,0),(3.5,4.5),(0,8); b. x=8,y=0,OFV=64;c.s1=45,s2=20,s3=0.
a. (0,0),(5,0),(3.75,3.75),(4,6),(0,8); b. x=4,y=6, OFV =74;c1.s1=0,s2=0, s3=2.
a. (0,0),(5,0),(8,0),(3.5,4.5),(0,8),(0,10); b. x=0,y=10,OFV=70;c.s1=25,s2=0,s3=2
a. (0,0),(3,0),(3.75,3.75),(3,5),(0,4); b. x=3,y=5, OFV =59;c1.s1=5,s2=0,s3=0
a. (0,0),(5,0),(3.75, 3.75),(3.5),(0,8); b. x=3, y=5, OFV=59; c1.s1=5, s2=0, s3=0

Answers

a. (0,0), (5,0), (3.75, 3.75), (3.5,4.5), (0,8);

b. x = 3.5, y = 4.5, OFV = 59.5;

c. s1 = 0, s2 = 2, s3 = 0.

a. The extreme points of the feasible region are the vertices of the polygon formed by the intersection of the constraint lines. In this case, the extreme points are (0,0), (5,0), (3.75, 3.75), (3.5,4.5), and (0,8).

b. To find the optimal solution and the objective function value, we evaluate the objective function at each extreme point and choose the point that maximizes the objective function. In this case, the point (3.5, 4.5) maximizes the objective function with a value of 59.5. Therefore, the optimal solution is x = 3.5 and y = 4.5, and the objective function value is 59.5.

c. The slack variables represent the surplus or slack in each constraint. We calculate the slack variables by subtracting the actual value of the left-hand side of each constraint from the right-hand side. In this case, the values of the slack variables are s1 = 0 (indicating no slack in the first constraint), s2 = 2 (indicating a surplus of 2 in the second constraint), and s3 = 0 (indicating no slack in the third constraint).

Therefore, the correct option is:

a. (0,0), (5,0), (3.75, 3.75), (3.5,4.5), (0,8);

b. x = 3.5, y = 4.5, OFV = 59.5;

c. s1 = 0, s2 = 2, s3 = 0.

Learn more about polygon from

https://brainly.com/question/26583264

#SPJ11

b) Obtain reduced cost matrix for travelling sales person problem. Consider the instance define by the cost matrix: [8M] 00 5 1 10 6 4 12 7 1 Pa 8 a 3 7 6 1 8نرا 4 16 9 3 8 a 16 12 7 6 00 *****

Answers

The reduced cost matrix for travelling salesperson problem in the given instance is shown below. The Travelling Salesperson Problem (TSP) is a classical combinatorial optimization issue that belongs to the category of NP-Hard problems.

This problem can be resolved using a branch and bound algorithm or by using dynamic programming.The reduced cost matrix for the given travelling salesperson problem instance The computation of the reduced cost matrix for travelling salesperson problem involves two steps: Identify the smallest element of each row and subtract the value from all the values in the row.

Identify the smallest element of each column and subtract the value from all the values in the column.In the given instance, the smallest element of each row is highlighted in bold. Therefore, after performing Step 1 the matrix becomes the matrix becomes Hence, the reduced cost matrix for the travelling salesperson problem is obtained.

To know more about optimization visit :

https://brainly.com/question/3589540

#SPJ11

Refer to Table \( \$ 6.1 \)-Factors for Computing Control Chart Limits \( (\underline{3} \) sigma) for this problem. Thirty-five samples of size 7 each were taken from a fertilizer-bag-filling machine

Answers

The control chart limits (3 sigma) for the fertilizer-bag-filling machine can be computed using Table $6.1.

How can the control chart limits be computed using Table $6.1 for the given problem?

To compute the control chart limits (3 sigma) using Table $6.1 for the fertilizer-bag-filling machine, follow these steps:

Determine the sample size: In this problem, each sample consists of 7 observations.

Calculate the average range (R): For each sample, calculate the range by subtracting the smallest observation from the largest observation. Then, calculate the average range across all 35 samples.

Find the appropriate value from Table $6.1: Locate the row in Table $6.1 corresponding to the sample size (7) and find the factor associated with 3 sigma. This factor represents the number of standard deviations for the control limits.

Compute the control limits: Multiply the average range (R) by the factor obtained from Table $6.1 to determine the width of the control limits. Then, subtract this width from the overall average of the process data to obtain the lower control limit, and add the width to the overall average to obtain the upper control limit.

Learn more about control chart limits

brainly.com/question/29756559

#SPJ11

please for god sake help me no one answer me ​

please for god sake help me no one answer me

Answers

the ant walked 5.8125 feet in the first five days and yes it would eventually reach the wall.

What is the answer for the wuesy

What is the answer for the wuesy

Answers

Answer:

22

Step-by-step explanation:

6 divided 6 equals 1 and 1 times 22 equals 22

Brainliest ?

Work out 97.974436 divided 14 and give your answer to 2 decimal places.

Answers

Answer:

6.998 rounded to 7.00

Step-by-step explanation:

25x+5y=15
what would be the answer

Answers

Answer:

3-y/3

The slope is -2/5

Step-by-step explanation:

25x+5y=15what would be the answer

begin at 40 and skip count by tens five times

Answers

Answer:

not exactly sure what is being asked butttt i think it's 90

Step-by-step explanation:

I’m pretty sure the answer would be 90

Find the solution to the following system of equations
using the comparison method.
y = 8x
y = 10x - 6

Answers

Answer:

The solution of the system of equation is x = 3, and y = 24

Step-by-step explanation:

The given system of equations are;

y = 8·x...(1)

y = 10·x -6...(2)

Solving the above system of linear equations using the comparison method, we first make one of the variables the subject of both equations

However, the given already have 'y' as subject, therefore, by comparison, we have;

y = y...(3)

8·x = 10·x - 6...(4)

From equation (4) given in the variable 'x', above, we have;

8·x = 10·x - 6

8·x - 8·x + 6 = 10·x - 6 + 6 - 8·x (the underlined items become zero)

∴ 6 = 10·x - 8·x = 2·x

6 = 2·x

∴ 2·x = 6

x = 6/2 = 3

x = 3

From equation (2), y = 8·x, we get;

y = 8·x

x = 3

∴ y = 8 × 3 = 24

y = 24

The values of 'x' and 'y' in the given system of equation is x = 3, y = 24.

please help for brain lest

please help for brain lest

Answers

Answer:

10/15-9/15=1/15

Step-by-step explanation:

2/3=10/15

3/5=9/15

10/15-9/15=1/15

What is the x intercept of 3x-y=9

Answers

Answer:

x= 3 + y/3

Step-by-step explanation:

Justin's truck was totaled and he needs a new one, but cannot afford it with the money he has in the bank. so he gets a 13.5% per year. How much interest will be charged in the first 10 months? How much will he owe after 10 months assuming he did not make any payments?

Answers

The compound interest formula is:

\(A=P(1+\frac{r}{n})^{nt}\)

Where

P is principal

r is rate of interest

n is number of compounding

t is number of years

Putting the given information, we have:

\(\begin{gathered} A=P(1+\frac{r}{n})^{nt} \\ A=13,500(1+\frac{0.135}{12})^{12} \\ A=13500(1.01125)^{12} \\ A=15439.60 \end{gathered}\)

Interest amount is:

15,439.60 - 13,500 = $1939.60 (in a year/12 months)

In 10 months:

\(1939.60\times\frac{10}{12}=1616.33\)

Justin would owe $1616.33 after 10 months.

a. find the solution of the given initial value problem. g b. plot a graph of the solution. y′′ 4y = ( t − ) − ( t − 2 ) ; y(0) = 0, y′(0) = 0

Answers

The particular solution satisfying the initial conditions is y(t) = (1/2)*cos(2t) - (1/8)*sin(2t) + (1/4)t - 1/2 and the graph has been plotted.

The given differential equation is y′′ + 4y = (t − ) − (t − 2). To solve this equation, we will first find the general solution to the homogeneous part, y′′ + 4y = 0, and then find a particular solution to the non-homogeneous part, (t − ) − (t − 2).

The characteristic equation for the homogeneous part is obtained by assuming the solution is of the form. Substituting this into the equation, we get r² + 4 = 0. Solving this quadratic equation, we find two complex roots: r = ±2i. Therefore, the general solution to the homogeneous part is y_h(t) = c₁cos(2t) + c₂sin(2t), where c₁ and c₂ are arbitrary constants.

To find a particular solution to the non-homogeneous part, we will use the method of undetermined coefficients. Since the non-homogeneous part contains terms (t − ) and (t − 2), we assume a particular solution of the form y_p(t) = At + B, where A and B are constants to be determined.

Taking the derivatives, we have y′_p(t) = A and y′′_p(t) = 0. Substituting these into the differential equation, we get 0 + 4(At + B) = (t − ) − (t − 2). Equating the coefficients of the like terms on both sides, we get 4A = 1 and 4B = -2.

Solving these equations, we find A = 1/4 and B = -1/2. Thus, the particular solution is y_p(t) = (1/4)t - 1/2.

The general solution to the original differential equation is given by the sum of the homogeneous and particular solutions: y(t) = y_h(t) + y_p(t).

y(t) = c₁cos(2t) + c₂sin(2t) + (1/4)t - 1/2.

We are given the initial conditions y(0) = 0 and y′(0) = 0.

Substituting these values into the general solution, we get:

y(0) = c₁cos(0) + c₂sin(0) + (1/4)*0 - 1/2 = 0.

This equation simplifies to c₁ - 1/2 = 0, which gives c₁ = 1/2.

Differentiating the general solution with respect to t, we get:

y′(t) = -2c₁sin(2t) + 2c₂cos(2t) + 1/4.

Substituting t = 0 and y′(0) = 0 into the above equation, we have:

y′(0) = -2c₁sin(0) + 2c₂cos(0) + 1/4 = 0.

This equation simplifies to 2c₂ + 1/4 = 0, which gives c₂ = -1/8.

Therefore, the particular solution satisfying the initial conditions is:

y(t) = (1/2)*cos(2t) - (1/8)*sin(2t) + (1/4)t - 1/2.

The graph will show how the solution varies with the input value t. It will illustrate the oscillatory nature of the cosine and sine functions, along with the linear term (1/4)t, which represents a gradual increase. The initial condition y(0) = 0 ensures that the graph passes through the origin, and y′(0) = 0 implies the absence of an initial velocity.

To know more about graph here

https://brainly.com/question/17267403

#SPJ4

a. find the solution of the given initial value problem. g b. plot a graph of the solution. y 4y = (

Many firms use on-the-job training to teach their employees computer programming. Suppose you work in the personnel department of a firm that just finished training a group of its employees to program, and you have been requested to review the performance of one of the trainees on the final test that was given to all trainees. The mean and standard deviation of the test scores are 83 and 2, respectively, and the distribution of scores is mound-shaped and symmetric. What percentage of test-takers scored better than a trainee who scored 77

Answers

0.13% of the test-takers Scored better than the trainee who scored 77.

To determine the percentage of test-takers who scored better than a trainee who scored 77, we can use the standard deviation and the concept of z-scores in a normal distribution.

Given that the distribution of scores is mound-shaped and symmetric, we can assume that the scores follow a normal distribution.

First, we need to calculate the z-score for the trainee who scored 77. The z-score measures how many standard deviations a particular value is from the mean. It is calculated using the formula:

z = (x - μ) / σ

Where:

- x is the individual score (77 in this case)

- μ is the mean (83 in this case)

- σ is the standard deviation (2 in this case)

Plugging in the values, we get:

z = (77 - 83) / 2 = -3

The z-score of -3 indicates that the trainee who scored 77 is 3 standard deviations below the mean.

To find the percentage of test-takers who scored better, we need to find the area under the normal curve to the right of the z-score -3. We can look up this value in a standard normal distribution table or use statistical software.

Using a standard normal distribution table, we find that the area to the right of -3 is approximately 0.0013.

To find the percentage, we multiply this area by 100:

Percentage = 0.0013 * 100 = 0.13%

Therefore, approximately 0.13% of the test-takers scored better than the trainee who scored 77.

For more questions on Scored .

https://brainly.com/question/9530223

#SPJ8

-6=b/18 solve this equation

Answers

From the given equation, we are to solve for b.

\(\begin{gathered} -6=\frac{b}{18} \\ \text{Cross mult}iply \\ -6\times18=\text{ b} \\ -108=\text{ b} \end{gathered}\)

Hence the answer of b is -108.

5 Sherie makes a canvas frame for a painting using stretcher bars. The rectangular

painting will be 12 inches long and 9 inches wide. How can she use a ruler to make

sure that the frame's corners will be right angles?

Help

Answers

Sherie can ensure that the frame's corners will be right angles by using the Pythagorean theorem to measure the diagonals of the frame. If the diagonals are equal in length, then the corners will be right angles.

             

To explain the process in detail, Sherie can follow these steps:

1. Start by laying out the stretcher bars in the shape of a rectangle, with two bars parallel to each other forming the longer sides and the other two bars parallel to each other forming the shorter sides.

2. Take a ruler and measure 12 inches along one of the longer sides, and mark that point.

3. From the marked point, measure 9 inches along one of the shorter sides, and mark that point as well. This creates a right angle.

4. Now, measure the distance between the two marked points. This will be the length of one of the diagonals of the frame.

5. Next, measure the distance between the other two corners of the frame. This will be the length of the other diagonal of the frame.

6. Finally, compare the lengths of the two diagonals. If they are equal, then the corners of the frame will be right angles.

By using the Pythagorean theorem (a^2 + b^2 = c^2), where 'a' and 'b' are the lengths of the sides of the rectangle, and 'c' is the length of the diagonal, Sherie can ensure that the frame's corners are right angles.

Visit here to learn more about Pythagorean theorem:

brainly.com/question/14930619

#SPJ11

Locate the critical points of the following function. Then use the Second Derivative Test to determine whether they correspond to local maxima, local minima, or neither. f(x)= x2 - 8x2 - 12x Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. O A. The critical point(s)x correspond to local minima. There are no local maxima or the test is inconclusive, (Simplify your answer. Use a comma to separate answers as needed.) OB. The critical point(s)x= correspond to local minima and the critical point(s)x= correspond to local maxima. The test may be inconclusive at some critical points. (Simplify your answers. Use a comma to separate answers as needed.) OC. The critical points are located at x = There are no local minima nor maxima or the test is inconclusive. (Simplify your answer. Use a comma to separate answers as needed.) OD. There are no critical points. O E. The critical point(s)x= correspond to local maxima. There are no local minima or the test is inconclusive. (Simplify your answer. Use a comma to separate answers as needed.) Click to select and enter your answer(s) and then click Check Answer. All parts showing Clear All Check Answer Score: 0 of 1 pt 5 of 9 7 complete) HW Score: 62.96%, 5.67 of 9 pts 4.3.71 Question Help Determine the intervals on which the following function is concave up or concave down. Identify any inflection points. f(x) = - 18 Determine the intervals on which the function is concave up or concave down. Select the correct choice below and, if necessary, fill in the answer box(es) within your choice. O A. The function is concave up on and concave down on . (Simplify your answers. Type your answers in interval notation. Use a comma to separate answers as needed.) OB. The function is concave up on the function is never concave down. (Simplify your answer. Type your answer in interval notation.) OC. The function is concave down on the function is never concave up. (Simplify your answer. Type your answer in interval notation.) OD. The function is never concave up nor concave down. Click to select and enter your answer(s) and then click Check Answer. 1 part remaining Clear All Check Answer

Answers

the correct choice is: The critical point x=-6/7 corresponds to a local maximum.

To find the critical points of the function f(x) = x^2 - 8x^2 - 12x, we need to find where its derivative is equal to zero or undefined. So, let's find the derivative of f(x) first:

f'(x) = 2x - 16x - 12

Next, we set f'(x) equal to zero and solve for x:

2x - 16x - 12 = 0

-14x - 12 = 0

x = -6/7

So, the critical point is x = -6/7.

To determine whether this critical point corresponds to a local maximum, local minimum, or neither, we need to use the Second Derivative Test. For this, we need to find the second derivative of f(x):

f''(x) = 2 - 16

f''(x) = -14

Plugging in x = -6/7, we have:

f''(-6/7) = -14

Since the second derivative is negative at x = -6/7, the function has a local maximum at x = -6/7.

Therefore, the correct choice is: The critical point x=-6/7 corresponds to a local maximum.
Visit to know more about critical point:-

https://brainly.com/question/29144288

#SPJ11

Factor the expression using the GCF. 58+28=

Answers

Answer:

2(29+14)

Step-by-step explanation:

Given function:

To find the GCF of 58+28..

Find the GCF of 58+28:

\(58=29\)·\(2\) \(28=14\)·\(2\)

Rewrite:

\(2(29+14)\)

Therefore, using GCF, the new expression would be 2(29+14)..

The expression 58 + 28 can be factorized as 2 (29 + 14).

What is GCF?

GCF which is the abbreviated form for Greatest Common Factor of two numbers, as the name implies, is the greatest common factor of both the numbers.

GCF of two numbers can be found using prime factorization.

Given the expression 58 + 28.

To find the GCF of two numbers, list the prime factors of these two numbers.

58 = 2 × 29

28 = 2 × 14 = 2 × 2 × 7

The only common factor is 2.

So the greatest common factor is 2.

58 + 28 = (2 × 29) + (2 × 14)

Taking the common factor of 2 outside the brackets,

58 + 28 = 2 (29 + 14)

Hence the expression 58 + 28 can be factorized as 2 (29 + 14) using the greatest common factor.

To learn more about GCF, click on the link given :

https://brainly.com/question/11444998

#SPJ2

Other Questions
In 1663, King Charles Il granted eight men a charter to develop the Carolinas on land betweenO Virginia and Florida.O Massachusetts and New York.O Maryland and Pennsylvania.O Pennsylvania and Virginia. Find the equation of the exponential function represented by the table below:x y(0,2)(1,4)(2,8)(3,16) When businesses use the Defense in Depth approach for securing BIS infrastructures, attackers have to get past security controls for _____ before gaining access to business data. solve for all 4 x answers. help im actually gonna start sobbing.(). pas fait pour le sport! Ecrit a cote des questions le numero de la bonne responsetu as des cls pour rentrer. Tu as les cls de la Voituretu as une cle pour toTu as la cle du garagetu as 2 ou 3 clestu as ma cleOui, je l'aioui, je ai unenon, je ne l'ai pasoui, j'en aioui, je les aij'en ai deux how long will it take 13,000 to grow to 18,000 if the investment earns at the interest rate of 3% compunded monthly A college student has just learned that her latest Pap smear revealed atypical cells, a fact that has resulted in stress and an accompanying release of angiotensin II. How would the effects of this hormone be objectively demonstrated?A) Increased respiratory rateB) Increased blood pressureC) Decreased oxygen saturationD) Decreased blood sugar Spanish Crossword Activity Alegebra. Identify the vertex and axis of symmetry of each. Please answer and e0lain how and why you got your answers. Assume you are a manufacturer of small kitchen electrics, like Hamilton Beach/Proctor Silex, and you want to determine if some innovative designs with unusual shapes and colors developed for the European market could be successfully marketed in the U.S. market. What qualitative research would you recommend, and why? What factors lead Geographers to perform research Read the passage. What is a similarity between the narrator and her best friend, Karen?Karen and I had been best friends since first grade. But I was a little jealous of her. Karen always seemed smarter and prettier than everyone. One day, we both put our names in for a dance contest. I practiced hard for weeks. I wanted to win the dance contest and beat Karen. On the day of the contest, I went on stage. I danced like Id never danced in my life. The crowd clapped loudly. Then it was Karens turn. She missed some steps and even lost her balance at one point. I knew something was wrongKaren was no klutz. I ended up winning the contest, but that didnt even matter to me anymore. After the contest, I ran to Karen and asked her what was wrong. Karen told me that she had been dancing with a sprained ankle. I asked her why she did it. Karen looked ashamed. Then she said, Because I wanted to beat you and prove that Im just as good as you! I was shocked. Here I was so jealous of her, and she wanted to beat me so badly that she went on stage with a sprained ankle!A. Karen and the narrator both enter the contest for fun.B. Karen and the narrator both deal with jealousy.C. Karen and the narrator are both trained dancers.D. Karen and the narrator both have sprained ankles.E. Karen and the narrator are both tennis champions. How will you measure resistances to determine a rule for calculating the effective resistance of one or more resistors wired in parallel? How would knowing the slope of a linear function help determine whether a function is increasing or decreasing? The price of a sofa was 880. It was reduced in a sale by 35%. What is the cost of the sofa in the sale? A vehicle with an OHC driven by chain and sprockets is brought into a shop for a noise. While running, a slapping sound is heard from the timing cover. Technician A says that the timing chain may be hitting the cover and this should be addressed right away. Technician B says that timing chains need periodic adjustment and this noise can be corrected without disassembly. Who is correct The kcat/KM ratio for the isomerization of glyceraldehyde-3-phosphate by trios phosphate isomerase is one of the highest known. What does this tell you about the enzyme Please help me answer these questions ( Maya Angelous Still I Rise ) look at the picture Explain one way in which water quality in the UK can be managed. (2 marks)