Mathematical Work:
f(x)=x+8
g(x)=x2-6x-7
f(g(2))=(2^2-6(2)-7)+8
f(g(2))=(4-12-7)+8
f(g(2))=-7
Explanation:
f(x)=x+8
g(x)=x2-6x-7
f(g(2))=?
2 was given as the x for function g and when you substitute 2 into function g's equation(g(2)=(2^2-6(2)-7)=-15, you would get -15. The answer to function g would be the x for function f. Which would be f(-15)=-15+8 and the answer for f(g(2)) is -7.
Company A : 15h + 20
Company B : 5h + 40
when would company B be cheaper....
15h + 20 > 5h + 40 ...put the less then sign towards Company B, then solve
15h - 5h > 40 - 20
10h > 20
h > 20/10
h > 2
Company B would be cheaper when the hours (h) are greater then 2
area=(b1+b2)*h all divided by 2
a=(12+12+8.7)*4.9 all divided by 2
a=32.7*4.9/2
a=160.23/2
a=80.12 sq. ft.