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2 months ago

Which equation represents the graphed function?

Mathematics

2 answers:

PIT_PIT [12.4K]2 months ago

8 0

Answer:

$y=\frac{-1}{3} x+3$

Step-by-step explanation:

Construct the line's equation by using the two points shown on the graph:

(0, 3) and (3, 2)

The line's equation is y = mx + b

where m is the slope and b is the y-intercept

Calculate the slope using the formula:

$slope =\frac{y_2-y_1}{x_2-x_1} =\frac{2-3}{3-0} =\frac{-1}{3}$

The y-intercept b is the value where the graph crosses the y-axis:

Here, b = 3

Substitute the values into the equation y = mx + b:

$y=\frac{-1}{3} x+3$

Leona [12.6K]2 months ago

5 0

Answer:

y = -3 x + 3

Step-by-step explanation:

First, determine the slope (m):

m = (y₂ - y₁) / (x₂ - x₁)

= (2 - 3) / (3 - 0)

= -3

Next, identify the y-intercept (b), where the line crosses the y-axis:

It intersects at y = 3

Using the slope-intercept form y = mx + b, plug in m and b:

y = -3 x + 3

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Triangle X Y Z is shown. The length of side X Y is (9 n + 12) feet and the length of side X Z is (15 n minus 6) feet. Angles X Y

babunello [11817]

Answer:

$n = 3$

$XY = 39$

$XZ = 39$

Step-by-step explanation:

Given

$XY = 9n + 12$

$XZ = 15n - 6$

Solving for (a): n

To find n;

We will utilize

$XY = XZ$

Substituting values for XY and XZ

$9n + 12 = 15n - 6$

$9n - 15n = -12 - 6$

$-6n = -18$

Dividing by -6

$n = 3$

Solving for (b) XY

$XY = 9n + 12$

Substituting 3 for n

$XY = 9 * 3 + 12$

$XY = 27 + 12$

$XY = 39$

Solving for (c): XZ

$XZ = XY$

$XZ = 39$

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1 month ago

John bought a new game system for $529 how much is he in debt

zzz [12365]

Answer:

That would depend on his remaining balance prior to purchasing the gaming system.

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27 days ago

Two parallel lines are crossed by a transversal. Parallel lines x and y are cut by transversal w. On line x where it intersects

AnnZ [12381]

Answer:

118.2°

Step-by-step explanation:

Dos líneas paralelas x e y son cortadas por la transversal w (ver el diagrama adjunto).

Se forman 8 ángulos (denominados 1, 2, 3, 4, 5, 6, 7 y 8).

Los ángulos 1 y 6 son ángulos del mismo lado cuando dos líneas paralelas x e y son cortadas por la transversal w.

Dos ángulos del mismo lado son suplementarios (suman 180°). Esto significa

$m\angle 1+m\angle 6=180^{\circ}$

Dado $m\angle 1=61.8^{\circ},$ por lo que

$m\angle 6=180^{\circ}-61.8^{\circ}=118.2^{\circ}$

8 0

1 month ago

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The polynomial 24x3 − 54x2 + 44x − 99 is factored by grouping. 24x3 − 54x2 + 44x − 99 24x3 + 44x − 54x2 − 99 4x(____) − 9(____)

babunello [11817]

I trust this information is beneficial to you

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1 month ago

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A local school needs to paint the floor of its theater room, where the length of the floor, x, is at least 12 feet. The width of

Zina [12379]

Answer: The correct formulation is option A.)A = x(x − 4) − 0.5(8)(x − 4) − 4(8)

Step-by-step explanation:

To calculate the area that needs painting in the theater room in square feet, follow these steps:

1. Calculate the area of the theater room

Length: x

Width: x-4

A (area of theater room) = x (x-4)

2. Calculate the area of the right triangle

Height: x-4

Base: 8

A (area of right triangle) = 0.5 (8) (x-4)

3. Calculate the area of the rectangle designated as a closet

Length: 8

Width: 4

A (closet) = 8 (4)

4. The painted area is calculated by subtracting the areas of the right triangle and the closet from the total area of the theater room:

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A = x (x-4) -0.5 (8) (x - 4) - 4 (8)

Thus, the proper equation to compute the area is option A.

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1 month ago

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