Can someone help me with the questions in the picture?

Can Someone Help Me With The Questions In The Picture?

Answers

Answer 1
y = mx + c

13. y = 2x - 4 and goes through (1,5)

Parallel

m = 2

(The slope is the same for parallel lines)

y = 2x + c
5 = 2(1) + c
5 = 2 + c
c = 3

Answer: y = 2x + 3

Perpendicular

m = - 1/2

(The slope is the inverse and negative for perpendicular lines)

y = -1/2x + c
5 = -1/2(1) + c
5 = -1/2 + c
c = -5.5

Answer: y = 1/2x - 5.5

Try the same thing for the second question

Your should get

Parallel: y = -3x + 12
Perpendicular: y = 1/3x + 2

Related Questions

is the precipitation raster an integer or a floating point raster? examine its properties to check the answer.

Answers

To determine whether a precipitation raster is an integer or a floating-point raster, you can examine its properties or metadata. Here are a few ways to check:

Data type: Look at the data type of the raster values. If the data type is integer (e.g., Int16, UInt8), then the precipitation raster is likely an integer raster. If the data type is floating-point (e.g., Float32, Float64), then it is a floating-point raster.

NoData values: Check if the raster has any NoData values. If there are NoData values specified, they are typically represented by a specific value such as -9999. If the raster has NoData values, it is more likely to be a floating-point raster since it allows for greater precision and flexibility in representing missing or invalid data.

Statistical summary: Calculate the statistical summary of the raster values, such as minimum, maximum, mean, and standard deviation. If the statistical summary includes decimal values (e.g., mean = 3.245), it indicates that the raster is a floating-point raster.

By examining these properties or metadata of the precipitation raster, you can determine whether it is an integer or a floating-point raster.

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19 POINTS
find the axis of symmetry for this function

19 POINTSfind the axis of symmetry for this function

Answers

Answer:

x = - 3

Step-by-step explanation:

given a parabola in standard form

f(x) = ax² + bx + c ( a ≠ 0 ) , then the equation of the axis of symmetry is

x = - \(\frac{b}{2a}\)

f(x) = - 2x² - 12x + 36 ← is in standard form

with a = - 2 and b = - 12

then equation of axis of symmetry is

x = - \(\frac{-12}{2(-2)}\) = - \(\frac{-12}{-4}\) = - 3

that is x = - 3

Julie and Kristen are the partners in a local sporting goods shop. They needed $51,000 to start the business. They invested in the ratio 5:12, respectively. a. How much money did each invest? b. What percent of the business was owned by Kristin? Round to the nearest tenth of a percent.c. If the business grows to $3,000,000, what percent of it will Julie own? Round to the nearest tenth of a percent.

Answers

Answer:

See below.

Step-by-step explanation:

They invested in a ratio of Julie:Kristen of 5:12.

5 + 12 = 17

Julie invested 5/17 of the amount, and Kristen invested 12/17 of the mount.

a.

Julie: 5/17 * $51,000 = $15,000

Kristen: 12/17 * $51,000 = $36,000

b.

Kristen owns 12/17 of the business.

As a percent, 12/17 = 12/17 * 100% = 70.6%

c.

The percent of the business each owns does not change with the amount the company is worth.

Kristen owns 70.6%, so Julie owns 100% - 70.6% = 29.4%

I need help with both of these

I need help with both of these

Answers

Answer:

i think  the first one is   C and second one is C

Step-by-step explanation:

   the second one is a whole number because the square root of 49 is 7 and 7 is a whole.      

which type of associations occurs when there is a relationship between two variables, but the relationship is caused by a third variable?

Answers

The type of association you are referring to is called a spurious correlation. In a spurious correlation, there is a relationship between two variables, but the relationship is actually caused by a third variable, also known as a confounding variable. This can lead to misleading conclusions if the third variable is not taken into account.

The type of association that occurs when there is a relationship between two variables, but the relationship is caused by a third variable is called a spurious association or a confounding variable. In this case, the relationship between the two variables is not a direct causal relationship, but is instead influenced by the third variable. It is important to identify and control for confounding variables in order to accurately interpret the relationship between the two variables of interest.

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m∠M=(4x−13) ∠N=(2x−13) m∠O=(5x+19) Find m∠N.

Answers

Using the given information, we can set up an equation to solve for x and then use that value to find m∠N.

m∠M + m∠N + m∠O = 180   (since the angles in a triangle add up to 180 degrees)

Substituting in the given expressions for each angle:

(4x - 13) + (2x - 13) + (5x + 19) = 180

11x - 7 = 180

Solving for x:

11x = 187

x = 17

Now that we know x, we can find m∠N:

m∠N = 2x - 13

m∠N = 2(17) - 13

m∠N = 21

Therefore, m∠N is 21 degrees.

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find the radius of convergence and interval of convergence of the series x[infinity] n=1 2 · 4 · 6 · · · 2n 3 · 5 · 7 · · ·(2n 1) x 2n 1 .

Answers

The radius of convergence is 0, and the interval of convergence is the single point x = 0.

To obtain the radius of convergence and interval of convergence of the series we can use the ratio test.

\(\[ \sum_{n=1}^{\infty} \frac{2 \cdot 4 \cdot 6 \cdots (2n)}{3 \cdot 5 \cdot 7 \cdots (2n+1)}x^{2n+1} \]\)

The ratio test states that if \(\( L = \lim_{n \to \infty} \left| \frac{a_{n+1}}{a_n} \right| \)\), then the series converges if \(\( L < 1 \)\) and diverges if \(\( L > 1 \). If \( L = 1 \)\), the test is inconclusive.

Let's calculate the limit:

\(\[ L = \lim_{n \to \infty} \left| \frac{\frac{2 \cdot 4 \cdot 6 \cdots (2(n+1))}{3 \cdot 5 \cdot 7 \cdots (2(n+1)+1)}x^{2(n+1)+1}}{\frac{2 \cdot 4 \cdot 6 \cdots (2n)}{3 \cdot 5 \cdot 7 \cdots (2n+1)}x^{2n+1}} \right| \]\)

Simplifying the expression:

\(\[ L = \lim_{n \to \infty} \left| \frac{(2n+2)(2n+1)x^{2n+3}}{(2n+1)(2n)x^{2n+1}} \right| \]\)

\(\[ L = \lim_{n \to \infty} \left| \frac{(2n+2)x^2}{x^2} \right| \]\)

\(\[ L = \lim_{n \to \infty} 2(n+1) = \infty \]\\\)

Since the limit is infinity, the series diverges for all values of  x , except when x = 0 and hence the radius of convergence is 0, and the interval of convergence is the single point x = 0.

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Find missing angel
X=???

Find missing angelX=???

Answers

Answer:

m<x=100

Step-by-step explanation:

the left side <100 what's near to here is 80 100+80=180

so x and what's near to hear "up" needs to be 180 what's near to hear was 80 so x+80=180 180-80=x x=100

pls answer the question!

pls answer the question!

Answers

Answer:

the first third and fourth one

Step-by-step explanation:

16 / 3/4= 16(keep) x (change from dividing to multiplying) 4/3 (flip)

15 / 3/5= 15 (keep) x (change from dividing to multiplying) 5/3 (flip)

12 / 4= 12 (keep) x (change from dividing to multiplying) 1/4 (flip)

so you keep the first number change the sign like for example if its dividing you'll change it to multiplying and if its adding you'll change it to subtracting then flip the fraction

hope this helped!!!

can i pleaseeee get brainliest thanks :))

Twenty-five wooden beams were ordered or a construction project. The sample mean and he sample standard deviation were measured x Calculated confidence interval for the mean is [188.29; 191.71] s Which confidence level was chosen? Assume distribution to be normal. A. 99% B. 90% C. 95% D. 99.9%

Answers

The confidence level is 90%

The correct option is (B)

We have the following information from the question is:

The sample mean and he sample standard deviation were measured

x bar = 190cm, s = 5cm respectively.

The confidence interval for the mean is [188.29; 191.71]

Now, According to the question:

The confidence interval is given by:

CI = \([x (bar)-z\sigma_x_(_b_a_r_),x (bar)+z\sigma_x_(_b_a_r_)]\)

If x (bar) is 190, we can find the value of \(z\sigma_x_(_b_a_r_)\) :

\(x(bar) -z\sigma_x_(_b_a_r_)=188.29\)

Put the value of x (bar)

\(190-z\sigma_x_(_b_a_r_)=188.29\)

\(z\sigma_x_(_b_a_r_)=1.71\)

We have to find the value of \(\sigma_x_(_b_a_r_)\)

\(\sigma_x_(_b_a_r_)=\frac{s}{\sqrt{n} }\)

\(\sigma_x_(_b_a_r_)=\frac{5}{\sqrt{25} }\)

\(\sigma_x_(_b_a_r_)=1\)

The value of z will be 1.71

Now, Find the value of z-score from the table of z-table:

Hence, The value z-score at 1.71 is 0.0436

This value will occur in both sides of the normal curve, so the confidence level is:

CI = 1- 2 × 0.0436= 0.9128 = 90%

The nearest CI is 90%,

So, the correct option is (B)

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Suppose Karl puts one penny in a jar, the next day he puts in three pennies, and the next day he puts in nine pennies. If each subsequent day Karl were able to put in three times as many pennies, how many pennies would he put in the jar on the 10th day?

Answers

Answer:

  19,683

Step-by-step explanation:

You want the 10th term of a geometric sequence with first term 1 and a common ratio of 3.

Geometric sequence

The n-th term of a geometric sequence with first term a1 and common ratio r is ...

  an = a1·r^(n-1)

For a1=1 and r=3, the 10th term is ...

  a10 = 1·3^(10-1) = 3^9 = 19,683

Karl would put 19,683 pennies in the jar on the 10th day.

__

Additional comment

On the 24th day, Karl would be putting into the jar the last of the 288 billion pennies in circulation.

The volume of added pennies on the 10th day is more than 7 liters, bringing the total that day to more than 10 liters. That's a pretty big jar.

Solve the triangle. B=67∘51′,c=36m,a=74m What is the length of side b ? b=m (Round to the nearest whole number as needed.) What is the measure of angle A ? A= (Round to the nearest whole number as needed.) What is the measure of angle C ? C= (Round to the nearest whole number as needed.)

Answers

The length of side b is 56m, angle A is 45°, and angle C is 67°.

What is the length of side b in the given triangle?

In the given triangle with side lengths a = 74m, b ≈ 56m, and c = 36m, the length of side b is approximately 56m.

To solve the triangle, we can use the Law of Cosines and the fact that the sum of angles in a triangle is 180 degrees. Given angle B = 67°51', we have:

Length of side b:

Using the Law of Cosines, we have:

b² = a² + c² - 2ac * cos(B)

Substituting the known values:

b² = 74² + 36² - 2 * 74 * 36 * cos(67°51')

Calculating the value of b:

b ≈ √(74² + 36² - 2 * 74 * 36 * cos(67°51'))

b ≈ 55.92m (rounded to the nearest whole number, b ≈ 56m)

Measure of angle A:

Using the Law of Cosines again, we have:

cos(A) = (b² + c² - a²) / (2 * b * c)

Substituting the known values:

cos(A) = (56² + 36² - 74²) / (2 * 56 * 36)

Calculating the value of A:

A = cos⁻¹((56² + 36² - 74²) / (2 * 56 * 36))

A ≈ 45° (rounded to the nearest whole number)

Measure of angle C:

Using the fact that the sum of angles in a triangle is 180 degrees:

C = 180° - A - B

Substituting the known values:

C ≈ 180° - 45° - 67°51'

Calculating the value of C:

C ≈ 67°9' (rounded to the nearest whole number, C ≈ 67°)

Therefore, in the given triangle, the length of side b is approximately 56m, angle A is approximately 45°, and angle C is approximately 67°.

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the output of a rope splicing shop includes cosmetic defects in 1/10 of its single braid splices, 1/8 of its double braid splices, and 1/20 of its 16-strand splices. for a large order of splices, 1/3 are in single braid rope, 1/2 are in double braid rope, and 1/6 are in 16-strand rope. what is the probability of a cosmetic defect in a randomly-chosen splice from this order?

Answers

The likelihood of a cosmetic imperfection in a splice selected at random from this order is 1/12.

The given probabilities are 1/10, 1/8 and 1/20 for single braid splices, double braid splices, and 16-strand splices, respectively. Furthermore, 1/3 of the large order of splices is in single braid rope, 1/2 of the order is in double braid rope, and 1/6 is in 16-strand rope.

The probability of a cosmetic defect in a randomly chosen splice is to be calculated. The probability is the sum of the probabilities of a cosmetic defect in single braid splices, double braid splices, and 16-strand splices.

Using the given probabilities, the probabilities of a cosmetic defect in single braid, double braid, and 16-strand splices are as follows: p(single braid splice has a cosmetic defect) = 1/10p(double braid splice has a cosmetic defect) = 1/8p(16-strand splice has a cosmetic defect) = 1/20

The probabilities of the splices with different braids are as follows: p(single braid splice) = 1/3p(double braid splice) = 1/2p(16-strand splice) = 1/6

Therefore, the probability of a cosmetic defect in a randomly chosen splice is:

p(cosmetic defect) = p(single braid splice) × p(single braid splice has a cosmetic defect) + p(double braid splice) × p(double braid splice has a cosmetic defect) + p(16-strand splice) × p(16-strand splice has a cosmetic defect)= (1/3) × (1/10) + (1/2) × (1/8) + (1/6) × (1/20)= 1/30 + 1/16 + 1/120= (4 + 15 + 1)/240= 1/12

The probability of a cosmetic defect in a randomly chosen splice from this order is 1/12.

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Identify the name of the shape. prove with the explanation.

Identify the name of the shape. prove with the explanation.

Answers

Parallelogram. Two pairs of parallel sides as indicated by the red arrows.

what is 98 divided by 5

Answers

Answer:

19.6

Step-by-step explanation:

the answer to the question is 19.6

Answer:

19.6

Step-by-step explanation:

We have to do long devision:

5 goes into 9 how many times? Once. So our first number will be one.

9 - 5(1) = 4

Bring the 4 down. Then bring the 8 from 98 down.

5 goes into 48 how many times? Nine times. So our second number will be nine.

48 - 5(9) = 3

Bring the 3 down. Since there is no numbers left from 98, add a decimal and then a zero to make the number 98.0.

5 goes into 30 how many times? Six times. So our third number will be six. Don't forget to add the decimal before the six!

30 - 5(6) = 0

You toss a coin and roll a number cube. Find P(heads and an even number.)

Answers

Answer:

The events are independent (the outcome of flipping thee coin has no effect on the outcome of rolling the die).

The events are independent (the outcome of flipping thee coin has no effect on the outcome of rolling the die).⇒

The events are independent (the outcome of flipping thee coin has no effect on the outcome of rolling the die).⇒ P(head and an even number)

The events are independent (the outcome of flipping thee coin has no effect on the outcome of rolling the die).⇒ P(head and an even number) = P(head) × P(even number)

P(even number)Assuming a fair coin and a fair die:

P(even number)Assuming a fair coin and a fair die:P(head)

P(even number)Assuming a fair coin and a fair die:P(head) =50%

P(even number)Assuming a fair coin and a fair die:P(head) =50%P(even number)

P(even number)Assuming a fair coin and a fair die:P(head) =50%P(even number) =50%

P(even number)Assuming a fair coin and a fair die:P(head) =50%P(even number) =50% (since half the numbers on a die are even).

P(even number)Assuming a fair coin and a fair die:P(head) =50%P(even number) =50% (since half the numbers on a die are even).P(head and even number)

P(even number)Assuming a fair coin and a fair die:P(head) =50%P(even number) =50% (since half the numbers on a die are even).P(head and even number) =50%×50%=25%

what does it mean to say that an event has a timebox? (choose the best answer) a. the event must happen by a given time. b. the event must happen at a set time. c. the event must take at least a minimum amount of time. d. the event can take no more than a maximum amount of time.

Answers

The correct option d. the event can take no more than a maximum amount of time, described the  an event has a timebox.

Define the term timebox?

A timebox is a set amount of time during which a work must be completed in agile software development.

Timeboxes are frequently employed to control risk in software development. Development teams are frequently given a deadline of a certain number of weeks and requested to produce a releaseable update to software.Giving an activity a set, maximum amount of time is known as timeboxing. A time box is the name of that unit of time. The purpose of timeboxing is to specify and set a time restriction for each task. Timeboxing is a technique used by Scrum to concretely define ambiguous or open-ended tasks as well as for all Scrum events.

Thus, when an event has a timebox, it signifies that the event can only last a certain length of time.

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Max must take 10 steps to go the same distance as three of his dad's steps. His dad takes 30 steps to walk down the hall. How many steps must Max take to walk down the same hall?

Answers

Max : 10 steps : Dad: 3 steps.

So it you multiply those each by ten, you get

100 steps : 30 steps.

30 Dad steps is 100 Max steps, so you get the answer, which is 100!

The steps taken by Max is 100.

what is arithmetic operators?

A mathematical function that performs a calculation on two operands is known as an arithmetic operator. Common arithmetic makes use of them, and the majority of computer languages include a set of such operators that can be used in equations to carry out a variety of sequential calculations.

Given

steps taken by Max = 10

Steps taken by his Dad = 3

both steps of Dad and steps of Max should be in ratio

3/10 …(1)

steps taken by his Dad = 30

let steps taken by Max = x

ratio = 30/x …..(2)

equation 1 equals equation 2

3/10 = 30/x  

x = (30 x 10)/3

x = 100

Hence Max must take 100 steps.

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WILL GIVE BRAINLIEST!
The width of a rectangle is
(4x + 1) in.
The length of the rectangle is three times the width. Find the area of the rectangle in terms of the variable x.

Answers

Answer:

48x² + 24x + 3

Step-by-step explanation:

Width = (4x + 1) in

Length = 3 *width = 3*(4x + 1) = 3*4x + 3*1

           = (12x + 3) in

Area of rectangle = length * width

                             = (12x + 3) (4x + 1)

                             = 12x *4x  + 12x *1  + 3*4x  + 3*1

                             = 48x² + 12x + 12x + 3

                              = 48x² + 24x + 3

There are 75 new houses being built in a neighborhood. Last month, 2/5 of them were sold. This month, 3/5 of the remaining houses were sold. How many houses are left to be sold?

Answers

Step-by-step explanation:

75 * (1-2/5) * (1-3/5) = 18.

cos60=5/zy ??? how do I get rid of the 5? Normally I would multiply by the denominator but that doesn't work here. The end answer should be zy=10

Answers

cos 60 = 1/2

1/2 = 5/zy

1= 10/zy

zy=10

The graph of the exponential function models the radioactive decay of
100 mg of cesium-137 (CS-137)

which equation best represents the asymptote of the graph?

a. x=0
b. y=100
c. x=100
d. y=0

The graph of the exponential function models the radioactive decay of100 mg of cesium-137 (CS-137)which

Answers

Answer:

y=100

Step-by-step explanation:

how much sugar should farid use for 1/2 of a batch of muffins

Answers

Answer:

3/8

Step-by-step explanation:

.

Answer: the answers would be 3/8

Step-by-step explanation:

Got it right

how much sugar should farid use for 1/2 of a batch of muffins

A red ballon is 40 feet above the ground and rising at 2 ft/s. At the same time, a blue balloon is at 60 feet above the ground and descending at 3 ft/s. What will the height of the balloons be when they are the same height above the ground

Answers

Answer: 48 ft

Step-by-step explanation:

The height gap between the balloons is 60 -40 = 20 feet. That gap is being closed at the rate of 2 + 3 = 5 ft/s, so will be gone in ...

 (20 ft)/(5 ft/s) = 4 s

At that time, the red balloon will have risen (2 ft/s)(4 s) = 8 ft to a height of ...

 40 ft +8 ft = 48 ft

The blue balloon will have descended (3 ft/s)(4 s) = 12 ft to a height of ...

 60 ft -12 ft = 48 ft

The balloons at at 48 ft when they are both the same height.

_____

Time and speed and distance are related by the formula you see on every speed limit sign:

 speed = distance/time . . . . . . . (on the sign, it's "miles per hour")

or

 time = distance/speed

or

 distance = speed × time

_____

If you want equations, you can write them as ...

 h = 40 +2t

 h = 60 -3t

where h is the altitude the balloons have when they are at the same height, and t is the number of seconds it takes to get there.

We're only interested in h, so we can cancel t by multiplying the first equation by 3 and adding that to the second equation multiplied by 2:

 3(h) + 2(h) = 3(40 +2t) +2(60 -3t)

 5h = 120 +6t +120 -6t

 h = 240/5 = 48 . . . . the height in feet at which the balloons are the same height

What is an equation of the line that passes through (-2,3) and is parallel to y=5x + 4.Give your answer in slope intercept form [y=mx+b]

Answers

Answer:

y= 5x+13

Step-by-step explanation:

Slope- intercept form

y= mx +b, where m is the gradient and b is the y-intercept.

Parallel lines have the same gradient.

y= 5x +4

Gradient of given line= 5

Thus, gradient of line= 5

Subst. m=5 into the equation.

y= 5x +b

To find the value of b, substitute a coordinate

When x= -2, y=3,

3= 5(-2) +b

3= -10 +b

b= 3 +10 (+10 on both sides)

b= 13

Thus, the equation of the line is y= 5x +13.

solve for Q

-392 = 28q​

Answers

Answer:

14

Step-by-step explanation:

-392=28q

-392÷28=14

Solve (x – 3)2 = 49. Select the values of x. –46 -4 10 52

Answers

Answer:

\(\large\boxed{\textsf{See Below.}}\)

Step-by-step explanation:

\(\textsf{We are asked to solve for the values of x, given values to select from.}\)

\(\textsf{Instead of using the FOIL Method, we can simply substitute in the given options}\)

\(\textsf{then identify if the two expressions are actually equal to each other. This is}\)

\(\textsf{the \underline{Substitution Property of Equality}.}\)

\(\large\underline{\textsf{What is the Substitution Property of Equality?}}\)

\(\textsf{The Substitution Property of Equality is a property that allows us to substitute in}\)

\(\textsf{a known value for a placeholder, or an unknown variables and the equation will}\)

\(\textsf{still remain equal. However for our problem we are given the value of x, but we're}\)

\(\textsf{not certain that the value will make the equation true. That's why we should}\)

\(\textsf{check every option provided.}\)

\(\large\underline{\textsf{Use the Substitution Property of Equality;}}\)

\(\textsf{Our first option given is -46. Substitute that value in for x.}\)

\(\tt (-46 - 3)^{2} = 49\)

\(\textsf{Follow Order of Operations (PEMDAS), and simplify inside the parentheses first.}\)

\(\tt (-46 -3)^{2}=(-49)^{2}=(-49 \times -49)=2401.\)

\(\tt 2401 \neq 49.\)

\(\textsf{-46 is not a value of x.}\)

---------------------------------------------------

\(\textsf{Our second option given is -4. Substitute that value in for x.}\)

\(\tt (-4 - 3)^{2} = 49\)

\(\textsf{Follow Order of Operations (PEMDAS), and simplify inside the parentheses first.}\)

\(\tt (-4 -3)^{2}=(-7)^{2}=(-7 \times -7)=49.\)

\(\tt 49 = 49. \large\checkmark\)

\(\large\boxed{\textsf{-46 is a value of x.}}\)

---------------------------------------------------

\(\textsf{Our third option given is 10. Substitute that value in for x.}\)

\(\tt (10 - 3)^{2} = 49\)

\(\textsf{Follow Order of Operations (PEMDAS), and simplify inside the parentheses first.}\)

\(\tt (10 -3)^{2}=(7)^{2}=(7 \times 7)=49.\)

\(\tt 49 = 49. \large\checkmark\)

\(\large\boxed{\textsf{10 is a value of x.}}\)

---------------------------------------------------

\(\textsf{Our last option given is 52. Substitute that value in for x.}\)

\(\tt (52 - 3)^{2} = 49\)

\(\textsf{Follow Order of Operations (PEMDAS), and simplify inside the parentheses first.}\)

\(\tt (52 -3)^{2}=(49)^{2}=(49 \times 49)=2401.\)

\(\tt 2401 \neq 49.\)

\(\textsf{52 is not a value of x.}\)

Lim h menuju 0 f(x+h)-f(x)/h dengan f(x)=4x-3

Answers

Answer:

To evaluate the limit:

f(x) = 4x - 3

f(x + h) = 4(x + h) - 3

= 4x + 4h - 3

f(x + h) - f(x) = 4x + 4h - 3 - (4x - 3)

= 4h

Now, we can plug these expressions into the limit formula:

lim h→0 [f(x + h) - f(x)] / h

= lim h→0 (4h) / h

= lim h→0 4

= 4

Therefore, the limit is 4.

Pls help I need this by the end of today

Pls help I need this by the end of today

Answers

The average rate change of over the interval [-1,1] is 2.

What is an interval?

In mathematics, an interval is expressed in numerical terms. All the numbers between two specific numbers are referred to as an interval. All actual numbers between those two are included in this range.

Given points on the graph is

x   -2     -1     0     1        

y   -4     -3     -1     3

The average rate of change of a function is defined by the expression over the interval a ≤ x ≤ b,

Average rate of change = [f(b) - f(a)]/(b - a)

Here a = -1, b = 1, f(a) = -3, and f(b) = 3

The average rate is (3 - (-3))/ (1 - (-1)) = 2

Learn more about change over the interval, at:

brainly.com/question/23947394

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select the equivalent expression

select the equivalent expression

Answers

\(\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}\)

Actually Welcome to the Concept of the Exponents ans Indices.

Since we know that, something inverse is a reciprocal.

that, (a) ^-1 = 1/a and (a^m)^n = a^m*n

so applying this we get as,

Option B.

==> 4^15 . 5^10

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