Question

Help algebra 2 please

Answer 1

Explanation:

(f*g)(x) = (-5x² + 2x + 7) (x +1)

= x* (-5x² + 2x + 7) + 1*(-5x² + 2x + 7)

= x*(-5x²) + x*2x + x*7 - 5x² + 2x + 7

= -5x³ + 2x² + 7x - 5x² + 2x + 7

= - 5x³ + 2x² -5x² + 7x + 2x +7 {Combine like terms}

= -5x³ - 3x² + 9x + 7

4) (f*g)(x) = (x² + 2x + 4)(x - 2)

= x*(x² + 2x + 4) - 2*(x² + 2x + 4)

= x*x² + x*2x + x*4 - 2*x² - 2*2x -2* 4

= x³ + 2x² + 4x -2x² -4x - 8

= x³ - 8

`2) Speed=(distance)/(time)\\\\\\= (d(h))/(t(h))\\\\= (2√(h))/(3√(4h))=(2*√(h))/(3*2√(h))\\\\\\=(1)/(3)`

`1)d(h) = \sqrt{16h^(4)}=√(2*2*2*2*h*h*h*h)=2*2*h*h=4h^(2)\\\\\\t(h) = 3h^(4)-3h^(3)-5h^(2)= h^(2)(3h^(2)-3h - 5))\\\\Speed=(4h^(2))/(h^(2)(3h^(2)-3h-5))\\\\=(4)/(3h^(2)-3h-5)`