A pair of equations is shown below. x + y = 5
y = one halfx + 2

If the two equations are graphed, at what point do the lines representing the two equations intersect?

(2, 5)
(5, 2)
(2, 3)
(3, 2)

Answers

Answer 1

Answer: The correct answer for the question that is being presented above is this one:

x + y = 5

y = one halfx + 2
y = 1/2 x + 2
-1/2 x + y = 2

Eliminate y by subtracting the two equations.
x + y = 5
-1/2 x + y = 2
----------------------
3/2 x = 3
3x = 6
x = 2

x + y = 5
2 + y = 5
y = 5-2
y = 3

So, the answer is (2,3).

Answer 2

Answer:

I am positive the answer is C: (2, 3)

Step-by-step explanation:

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Which point below is not on the graphA.)(-13, 7)B.)(-35, 1)C.)(11, 5)D.)(27, 3)
A cone is placed inside a cylinder as shown. The radius of the cone is half the radius of the cylinder. The height of the cone is equal to the radius of the cylinder. What is the volume of the cone in terms of the radius, r?

The graph below shows the value of Edna's profits f(t), in dollars, after t months:graph of quadratic function f of t having x intercepts at 6, 0 and 18, 0 and vertex at 12, negative 36

What is the closest approximate average rate of change for Edna's profits from the 12th month to the 18th month?

(A)5.92 dollars per month
(B) 3.75 dollars per month
(C) Five dollars per month
(D) Nine dollars per month

Answers

Average rate of change= $(0-(-36))/(18-12)= (36)/(6)=6$
The closest approximate average rate of change is :A) 5.92 dollars per month.

Based on the calculations, the closest approximate average rate of change for Edna's profits is equal to 5.92 dollars per month.

How to calculate the closest approximate average rate of change?

In order to calculate the closest approximate average rate of change based on the values contained in the graph, we would use the slope formula as follows:

$Slope = (Change\;in\;y\;axis)/(Change\;in\;x\;axis)\n\nSlope = (y_2\;-\;y_1)/(x_2\;-\;x_1)$

Substituting the given points into the formula, we have;

$Slope = (0\;-\;(-36))/(18\;-\;12)\n\nSlope = (36)/(6)$

Slope = 6.

Therefore, the closest approximate average rate of change for Edna's profits is equal to 5.92 dollars per month.

Read more on slope here: brainly.com/question/3493733

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Convert -2.36 to a fraction in lowest terms

Answers

Answer:

59/25 I believe

Step-by-step explanation:

A photograph club has 100 members and 45 are women what fraction of the members represent women

Answers

It could be 45/100 but I'm sure you can simplify it.

Which of the following statements contain a variable? Check all that apply.A. The number of different colors on the page.
B. They scored 27 points.
C. Eighty miles per hour.
D. Half the speed of the car.

Answers

A. The number of different colors on the page.

D. Half the speed of the car.

These statements contain variables representing unknown quantities or values.

Variables in mathematics and science are symbols that represent unknown values or quantities. Let's analyze each statement to identify the ones containing variables:

A. "The number of different colors on the page."

This statement contains a variable because it represents an unknown quantity, the number of colors.

B. "They scored 27 points."

This statement does not contain a variable as it explicitly states a specific value (27 points).

C. "Eighty miles per hour."

This statement does not contain a variable as it provides a specific constant value (80 miles per hour).

D. "Half the speed of the car."

This statement contains a variable because it represents an unknown value, which would depend on the actual speed of the car.

In summary, the statements containing variables are:

A. The number of different colors on the page.

D. Half the speed of the car.

These statements represent quantities that can vary, making them suitable for mathematical or scientific analysis where variables are used to express relationships and solve equations.

For more such questions on speed

brainly.com/question/553636

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The correct answers are:

A) the number of different colors on the page; and
D) half the speed of the car.

Explanation:

A variable represents an unknown amount.

For A, we do not know how many colors are on the page; this means we would use a variable to represent it.

For D, while we know we want half of the speed of the car, we do not know what the speed of the car actually is; therefore we would use a variable to represent it.

Find an equation of a line through √3,1 / 2) parallel to the line:a. x = −9
b. y = −√7
c. What can you conclude about your answer in parts (a) and (b)?

Answers

Answer:

(a) $x=√(3)$

(b) $y=(1)/(2)$

(c) Answer of part a is equation of line $x=√(3)$ which is parallel to y axis and in part by equation of line is $y=(1)/(2)$ which is parallel to x axis

Step-by-step explanation:

We have given points are $(√(3),(1)/(2))$

(a) Equation of line is given x = -9

We have to find the equation of line parallel to x= -9 and passing through $(√(3),(1)/(2))$

x = -9 line is parallel to y axis and so slope will be infinite

Equation of line is given by $y-y_1=m(x-x_1)$

So $y-(1)/(2)=(1)/(0)(x-√(3))$

$x=√(3)$

(b) Equation of line is given $y=-√(7)$

This line is parallel to x axis so slope will be zero

So equation of line will be $y-(1)/(2)=0(x-√(3))$

$y=(1)/(2)$

(c) Answer of part a is equation of line $x=√(3)$ which is parallel to y axis and in part by equation of line is $y=(1)/(2)$ which is parallel to x axis

Which two solid figures have the same volume?O A. An oblique solid with a base of 4 cm2 and a slant height of 8 cm
B. A cone with a base of 4 cm2 and a height of 8 cm
C. An oblique prism with a base of 4 cm2 and a height of 8 cm
D. A rectangular solid with a base of 4 cm2 and a height of 8 cm