Write the equation of the line that is perpendicular to the line 2x - 3y=5 and that
passes through the point (2, - 1).

3x + 2y = 4

Step-by-step explanation:

2x - 3y = 5

3y = 2x - 5

y = 2/3 x - 5/3     m1 = 2/3

m2 (slope) for perpendicular line: - 3/2

b (y intercept) = y - m x = -1 - (-3/2) * 2 = 2

equation: y = mx + b

y = (-3/2) x + 2

3x + 2y = 4

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