Simplify the expression fraction with numerator of the square root of negative four and denominator of the quantity three plus i minus the quantity two plus three times i. quantity eight plus two times i divided by seventeen quantity negative four plus two times i divided by five quantity four plus ten times i divided by twenty nine quantity eight plus ten times i divided by forty one

Step-by-step explanation:

simplify the denominator

square root (-4) is +2i , because the value of square root (-1) is 'i'

multiply top and bottom by its conjugate 1+2i

The value of i^2 =-1

a. is correct

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