study these equations:\n$f(x)=2x - 8$\n$g(x)=-5x$\nwhat is $h(x)=f(x)g(x)$?\n$h(x)=10x^{2}-40x$\n$h(x)=-10x^{…

study these equations:\n$f(x)=2x - 8$\n$g(x)=-5x$\nwhat is $h(x)=f(x)g(x)$?\n$h(x)=10x^{2}-40x$\n$h(x)=-10x^{2}+40x$\n$h(x)=-10x + 40$\n$h(x)=10x - 40$

study these equations:\n$f(x)=2x - 8$\n$g(x)=-5x$\nwhat is $h(x)=f(x)g(x)$?\n$h(x)=10x^{2}-40x$\n$h(x)=-10x^{2}+40x$\n$h(x)=-10x + 40$\n$h(x)=10x - 40$

Answer

Explanation:

Step1: Substitute functions

Given $h(x)=f(x)g(x)$, substitute $f(x)=2x - 8$ and $g(x)=- 5x$. So $h(x)=(2x - 8)(-5x)$.

Step2: Apply distributive property

$(2x - 8)(-5x)=2x\times(-5x)-8\times(-5x)$.

Step3: Calculate each term

$2x\times(-5x)=-10x^{2}$ and $-8\times(-5x) = 40x$. So $h(x)=-10x^{2}+40x$.

Answer:

$h(x)=-10x^{2}+40x$ (the second option)