1) Slope = 3; contains (5, 14)
2)

What is the answer for this? Help please

Answer:

x<-2

Step-by-step explanation:

17+4x<9

4x<-8

x<-2

The solution is:

Work/explanation:

Recall that the process for solving an inequality is the same as the process for solving an equation (a linear equation in one variable).

Make sure that all constants are on the right:

\(\bf{4x < 9-17}\)

\(\bf{4x < -8}\)

Divide each side by 4:

\(\bf{x < -2}\)

Answer:

\(x = \frac{2(A_T) }{(AB) + (AC) + (BC)} \)

If the standard deviation of a set of data is 6, then the value of variance is 36

The formula for determining variance is variance = √Standard deviation

Variance of a set of data is equal to square of the standard deviation.

If the standard deviation of a set of data is 6 then we get variance by putting the value of standard deviation in the formula

variance = √Standard deviation

Take square root on both sides

Standard deviation² = 6²

Standard deviation= 36

Hence,  standard deviation of a set of data is 6, then the value of variance is 36

To learn more on Statistics click:

https://brainly.com/question/30218856

#SPJ1

(a)  ((h)/(g))(-2) is equal to -12/11.

(b) The value x = 9 makes the denominator of (h)/(g) equal to zero, which results in division by zero. Hence, x = 9 is not in the domain of (h)/(g).

(a) To find ((h)/(g))(-2), we need to evaluate the function (h)/(g) at x = -2.

First, let's find h(-2):

h(-2) = (-2 - 1)(-2 - 2) = (-3)(-4) = 12

Next, let's find g(-2):

g(-2) = -2 - 9 = -11

Now, we can find ((h)/(g))(-2) by dividing h(-2) by g(-2):

((h)/(g))(-2) = (12) / (-11) = -12/11

Therefore, ((h)/(g))(-2) is equal to -12/11.

(b) To find the values that are not in the domain of (h)/(g), we need to consider the values of x for which g(x) is equal to zero, as division by zero is undefined.

Since g(x) = x - 9, we set it equal to zero and solve for x:

x - 9 = 0

x = 9

Therefore, the value x = 9 makes the denominator of (h)/(g) equal to zero, which results in division by zero. Hence, x = 9 is not in the domain of (h)/(g).

Learn more about domain here:

https://brainly.com/question/30133157

#SPJ11

Answer:

The correlation coefficient of 0.29 indicates that the correlation is a weak positive correlation. Thus option (D) is the correct answer.

What is correlation?

"Correlation is a statistical tool that studies the relationship between two variables. Data sets have a positive correlation when they increase together, and a negative correlation when one set increases as the other decreases".

For the given situation,

Correlation coefficient = 0.29

Positive correlation: the two variables change in the same direction.

Negative correlation: the two variables change in opposite directions.

No correlation: there is no association or relevant relationship between the two variables.

The correlation coefficient lies between 0 to 0.3 indicating that the correlation is a weak positive correlation.

Hence we can conclude that option (D) weak positive correlation is the correct answer.

Answer:

for the 81st term of this arithmetic sequence is going to be -508

Step-by-step explanation:

From the first three term(a1, a2, a3) we can see the common difference is going to be -6, and we know the first term of the arithmetic sequence is -28,

and the general expression of a arithmetic sequence is going to be an=a1+d(n-1)

in this case is going to be an=-6n-22, replacing 81 we got a a81 is going to be -508

Answer:

(4,4)

Step-by-step explanation:

We can solve this system of equations using the elimination method.

In order to use the elimination method there must be two variables with the same coefficient. Note that the coefficients don't have to have the same sign ( eg. 6 and -6 would work ). If there are two similar variables with similar coefficients then you can add or subtract, depending on the signs of the coefficients, the two equations "eliminating" the variable. There would then be one variable left over in which you can solve for.

For this case, both equations have 7x, one negative 7 and one positive 7. When the signs are different you add the two equations. So our first step is to add the two equations

7x - 4y = -44

+ (-7x -3y = 16 )

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

Remove parenthesis

7x -4y = -44

-7x -3y = +16

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

0x - 7y = -28

We are left with -7y = -28.

Because there is now only one variable, we can solve for it.

-7y = -28

divide both sides by -7

y = 4

Now we want to find the value of x. We can do this by plugging in the value of y into one of the equations and then solving for x. Note that we can plug in 4 for y into either equation and solve for x and we would get the same answer.

7x - 3y = 16

y = 4

7x - 3(4) = 16

multiply 4 and -3

7x - 12 = 16

add 12 to both sides

7x = 28

divide both sides by 7

x = 4

So x = 4 and y = 4 so the solution to the system of equations is (4,4)

Answer:

(4, -6)

Step-by-step explanation:

By applying the alternate interior angles theorem, the value of x is equal to 4.

Parallel lines can be defined as two (2) lines that are always the same (equal) distance apart and never meet.

The alternate interior angles theorem states that when two (2) parallel lines are cut through by a transversal, the alternate interior angles that are formed are congruent.

By applying the alternate interior angles theorem, the value of x would be calculated as follows:

25x + 33 = 20x + 53

25x - 20x = 53 - 33

5x = 20

x = 20/5

x = 4.

Read more on alternate interior angle here: brainly.com/question/2497532

#SPJ1

Answer:

C,F

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Using the sum of the angles in a triangle, The measure of angle m wyr is 54 degrees.

To find the measure of angle m wyr,

we can use the fact that the sum of the angles in a triangle is 180 degrees.

Given,

m angle tyr = 8x + 6

m angle tyw = 120

Since angle tyr and angle tyw are part of the triangle tyr,

we can use the fact that the sum of the angles in a triangle is 180 degrees to find the measure of angle m wyr.

m angle tyr + m angle tyw + m angle m wyr = 180

Substituting the given values:

(8x + 6) + 120 + m angle m wyr = 180

Simplifying the equation:

8x + 126 + m angle m wyr = 180

To find the measure of angle m wyr,

we need to isolate m angle m wyr,

Subtracting 126 from both sides,

8x + m angle m wyr = 180 - 126

8x + m angle m wyr = 54

Learn more about Angles here:

https://brainly.com/question/27682397

#SPJ11

To find the quantity that will maximize profit, we need to first calculate the total revenue and total cost functions. Total revenue is given by the product of the price and quantity, which is p*x.

Therefore, the total revenue function is R = (700-1/2x)*x = 700x - 1/2x^2. Total cost is given by the sum of the average fixed cost and average variable cost, which is C = 400 + 2x. Therefore, total cost function is C = (400+2x)*x = 400x + 2x^2.

Next, we can find the profit function by subtracting total cost from total revenue:
P = R - C = 700x - 1/2x^2 - 400x - 2x^2 = -5/2x^2 + 300x.

To maximize profit, we need to take the first derivative of the profit function and set it equal to zero:
dP/dx = -5x + 300 = 0
x = 60

Therefore, the quantity that will maximize profit is 60 units.

To find the selling price at this optimal quantity, we can substitute x=60 into the demand function:
p = 700 - 1/2(60) = $670 per unit.

Therefore, the selling price at this optimal quantity is $670 per unit.

To find the maximum profit, we can substitute x=60 into the profit function:
P = -5/2(60)^2 + 300(60) = $12,000.

Therefore, the maximum profit is $12,000.

Learn more about total revenue here:

https://brainly.com/question/31683012

#SPJ11

Answer:

A) g(x)= -2^x

D) g(x)= -1/3 4th root x

E) g(x)= -|x|

Step-by-step explanation:

Just find the reciprocal of the parent function

Parent functions:

g(x)= (1/2)^x

g(x)= 4 cube root x

g(x)= |x|

Answer:

A) g(x)= -2^x

D) g(x)= -1/3 4th root x

E) g(x)= -|x|

On solving the provided question, we can say that - To achieve the most accurate estimate of the Mississippi River flow, round the result up to the nearest hundred. 16,800 cubic m per second

The nearest multiple of 100 is added to a number when it is rounded to the nearest hundreds. Rounding up occurs when the subsequent 100-multiple exceeds the initial value. Truncated numbers are those whose next multiple of 100 is smaller than the original value.

Imagining that the Mississippi River is moving at a speed of 16,790 cubic meters per second.

Round the value up to the next hundreds to obtain the most accurate estimate of the Mississippi River flow.

16,800 cubic meres per second

To know more about nearest hundred visit:
https://brainly.com/question/143926

#SPJ4

Answer:

-0.9

Step-by-step explanation:

Answer: -0.90

Step-by-step explanation:

The number -9/10 is a negative number, we have to remember to put the negative sign.

Now, let's convert 9/10 to a percent first.

9/10 = 90%

90% is equal to which decimal?

The decimal 0.90.

Add the negative sign -0.90.

Hope this helps!

Answer:

18

Step-by-step explanation:

direct variation = y/x

54 / 3 = 18

Answer:

(2, 18) and (-3, -7)

Step-by-step explanation:

y = 5x + 8                     Substitute the value for y into the second equation

-10x + 2y = 16

-10x + 2(5x + 8) = 16

-10x + 10x +16 = 16

       16 = 16  True  

These two equation are the same line. So pick one of the equation to check which ordered pairs are true solutions.

Using y = 5x + 8

(0, -6)         -5 = 5(0) + 8 ; -6 = 8  No

(-1, 9)           9 = 5(-1) + 8;   9 = -5 + 8 ;  9 = 3 No

(2, 18)          18 = 5(2) + 8;  18 = 10 + 8 = 18;  18 = 18    Yes

( -3, -7)         -7 = 5(-3) + 8;  -7 = -15 + 8;  -7 = -7    Yes

Answer: B

Step-by-step explanation:

From the question, the sum of each of the geometric sequence are;

1)  31 3/4

2) 340

3) 11/16

4) -6, 12, -24

We have that;

Sn = a(1 -\(r^n\))/1 - r

Sn = 16(1 \(- (1/2)^7\))1 - 1/2

Sn = 16(1 - 1/128)/1/2

Sn = 16(127/128) * 2

Sn = 31 3/4

2) Un = a\(r^n\) -1

256 = \(4(4)^n-1\)

64 =\(4^n-1\)

\(4^3 = 4^n-1\)

n = 4

Sn= \(4(4^4 - 1)\)/4 - 1

Sn = 340

3) Since we have a5 then n = 5

Sn = 1(1 - (\(-1/2)^5\))/1 -(-1/2)

Sn = 33/32 * 2/3

= 11/16

4) 30= a(1 -\((-2)^4\))/1 - (-2)

30 = a(-15)/3

30 = -5a

a = 30/-5

a = -6

Then the first three terms are;

-6, 12, -24

Learn more about geometric sequence:https://brainly.com/question/27852674

#SPJ1

The coefficient of determination for the regression of gasoline consumption on gasoline prices is approximately 0.557.

The coefficient of determination, also known as R-squared, measures the proportion of the total variation in the dependent variable that is explained by the independent variable(s). It is calculated by dividing the explained variation by the total variation.

In this case, the total variation in the dependent variable is given as 122, and the unexplained variation is 54. To calculate the coefficient of determination, we need to find the explained variation, which is the difference between the total variation and the unexplained variation.

Explained variation = Total variation - Unexplained variation

Explained variation = 122 - 54 = 68

Now, we can calculate the coefficient of determination:

Coefficient of determination = Explained variation / Total variation

Coefficient of determination = 68 / 122 ≈ 0.557

Therefore, the coefficient of determination for the regression of gasoline consumption on gasoline prices is approximately 0.557.

The coefficient of determination, R-squared, provides an indication of how well the independent variable(s) explain the variation in the dependent variable. In this case, an R-squared value of 0.557 means that approximately 55.7% of the total variation in gasoline consumption can be explained by the variation in gasoline prices.

A higher R-squared value indicates a stronger relationship between the independent and dependent variables, suggesting that changes in the independent variable(s) are associated with a larger proportion of the variation in the dependent variable. Conversely, a lower R-squared value indicates that the independent variable(s) have less explanatory power and that other factors not included in the regression may be influencing the dependent variable.

It is important to note that while the coefficient of determination provides an indication of the goodness-of-fit of the regression model, it does not necessarily imply causation or the strength of the relationship. Other factors, such as the model's specification, sample size, and the presence of other variables, should also be considered when interpreting the results of a regression analysis.

Learn more about regression model here:

brainly.com/question/31969332

#SPJ11

If the area code must have a 0 or1 for the second digit, and neither the area code nor the seven-digit number can start with 0 or 1, 1 280 000 000 different ways are possible.

Therefore option B is correct.

In this scenario we apply our  knowledge of probability to find the phone number, so:

We can establish the following facts:

Therefore, if we calculate the possibilities of occurrence, we have:

8 times 2 times 10 times 8 times 10 times 10 times 10 times 10 times 10 times 10 = 1,280,000,000

Learn  more about probability at:

brainly.com/question/795909

#SPJ1

Answer:

Figure ABCD is a parallelogram

AB is congruent to CD, and the slopes of AB and CD are the same, so one pair of opposite sides AB and CD are both parallel and congruent.

Explanation:

For any quadrilateral to be considered a parallelogram, one pair of opposite sides of the quadrilateral must be parallel and congruent.

We can see from the graph that the vertices of figure ABCD are A(1, 2), B(3, 4), C(3, -1), and D(1, -3)

Let's go ahead and determine the slope of line AB using the slope formula;

Let's determine the slope of line CD using the slope formula as seen below;

We can see that the slopes of line AB and CD are the same, therefore both lines are parallel since parallel lines always have the same slope.

Let's determine the distance of line AB using the distance formula;

Let's determine the distance of line CD using the distance formula;

We can see that the length of lines AB and CD are the same.

We can see from the above that one pair of opposite sides of the quadrilateral, AB and CD, are parallel and congruent, therefore we can say that figure ABCD is a parallelogram.

Answer:

The median of the scores in this stem-and-leaf plot is 78

Step-by-step explanation:

The total data set represented by Stem and leaf in order from the least to the greatest are as following:

58, 59, 64, 64 , 66, 68, 72, 74, 75, 76, 78, 79, 83, 84, 86, 87, 88, 91, 93, 93, 95

The number of data is 21

The median of the data at the place number 11

So, median = 78

Answer:

{x,y} = {25/9,23/9}

Step-by-step explanation:

// Solve equation [2] for the variable  x  

 [2]    x = -4y + 13

// Plug this in for variable  x  in equation [1]

  [1]    5•(-4y+13) + 2y = 19

  [1]     - 18y = -46

// Solve equation [1] for the variable  y  

  [1]    18y = 46  

  [1]    y = 23/9  

// By now we know this much :

   x = -4y+13

   y = 23/9

// Use the  y  value to solve for  x

Answer:

1. B

2. A

Step-by-step explanation:

I've done this before, very easy.

The point A after reflection over the line y = 1 becomes A' (-3,3).

Reflection is the transformation which produces a mirror image of an object. The mirror image can be either about any line.

In our question,

The object is a triangle ∠ABC and the line is y=1.

Point A before reflection (equation 1):

A = (-3,-1)

After reflection, the point is shifted along y axis and x remains constant.

Reflection about y=1 of point A:

A ⇔ A'

( x, y) ⇔ ( x, y+4)'

Put the values of x and y using equation 1.

(-3, -1) ⇔ ( -3, -1+4)'

(-3, -1) ⇔ (-3, -1) ⇔ ( -3, -1+4)'

Hence the point A will transform to the point A' (-3, 3) after reflecting about y=1.

Learn more about  reflection on https://brainly.com/question/30270479

#SPJ1

Answer:

-3

Step-by-step explanation:

Use slope formula to find the slope of the first road:

(y2 - y1) / (x2 - x1)

(1 - 5) / (-1 - 11)

-4 / -12

1 / 3

The slope of a line perpendicular to this line would just be the negative reciprocal of the slope:

-3 / 1 or just -3