Multiply the functions
(x^2-2x+2)(x-3)=
(x^2-2x+2)(x)+(-3)(x^2-2x+2)=
(x^3-2x^2+2x)+(-3x^2+6x-6)=
x^3-2x^2+2x-3x^2+6x-6=
x^3-2x-3x^2+2x+6x-6=
x^3-5x^2+8x-6
f(x)g(x)=x^3-5x^2+8x-6
Answer:
x ≈ 2.91644500708
Step-by-step explanation:
The equation can be simplified to ...
2(4^x) +4(4^x) = 342
6(4^x) = 342
4^x = 57
Taking logarithms, we get ...
x = log₄(57) = log(57)/log(4)
x ≈ 2.91644500708
Amy had $84.35 before the deposit.
$116.85 - $32.50 = $84.35