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Equation 1: 3y = 2x + 12

Slope: 2/3

X-Intercept: -6

Y-Intercept: 4

Equation 2: 2y - 4x = 12

Slope: 2

X-Intercept: -3

Y-Intercept: 6

Equation 3: 8y - 8 = 4x

Slope: 1/2

X-Intercept: -2

Y-Intercept: 1

Equation 4: 9y + 6x = -72

Slope: -2/3

X-Intercept: -12

Y-Intercept: -8

Equation 5: 4y = -8x + 32

Slope: -2

X-Intercept: 4

Y-Intercept: 8

Here is a graph showing all of the information and the simplified work:

Red line = equation 1

Blue line = equation 2

Green line = equation 3

Purple line = equation 4

Orange line = equation 5

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

step-by-step explanation:

two pairs of adjacent sides are of equal length. this implies that one diagonal divides the kite into congruent triangles, and so the angles between the two pairs of equal sides are equal in measure. it also implies that the diagonals are perpendicular.