(a) Find the quotient and remainder where 4x² + 4x is divided by 2x + 1. (b) Hence show that

a) quotient is 2

remainder is -2x^2+1

b) its four in the morning i woke up from a weird dream, and my smooth brain cannot comprehend what im reading, i hope the first part helped

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

y= 2x+7

changed to y= 5x +7

as slope is increased from 2 to 5

therefore it would be less steeper

so, option d) is correct