examine the graph below. select the solutions to the graph from the following points. select three that apply.

Options (1), (2), (3)

Step-by-step explanation:

Let the equation of the line is,

y = mx + b

Here m = slope of the line

b = y-intercept

Given line on the graph is passing through two points (-3, 0) and (0, 1).

Slope of this line will be,

m =

   =

   =

y-intercept of the line 'b' = 1

Equation of the line will be,

y =

If the points given in the options satisfy the equation, they will be the solution of the line.

Option (1),

For (3, 2),

2 =

2 = 2

True.

(3, 2) is the solution.

Option (2)

For (21, 8),

8 =

8 = 8

True.

(21, 8) is the solution.

Option(3)

For (-15, -4),

-4 =

-4 = -4

True.

(-15, -4) is the solution.

Option (4)

For (12, 9)

9 =

9 = 5

False

(12, 9) is not the solution.

Option (5)

For (-6, 1)

1 =

1 = -1

False

(-6, 1) is not the solution.

Therefore, Options (1), (2), (3) are the solutions.

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204