We know that
if the volume of a prism <span>it was increased by a scale factor of 5
then
</span>the original volume is
multiplied by 5*5*5-------> 5³=125
therefore
the new volume compared with the original is 125 times larger
Answer:
x=280
Step-by-step explanation:
We have, 15% × x = 42
or,
15
100
× x = 42
Multiplying both sides by 100 and dividing both sides by 15,
we have x = 42 ×
100
15
x = 280
If you are using a calculator, simply enter 42×100÷15, which will give you the answer.
Answer:
x^6 + 4,096
Step-by-step explanation:
[(x+4)^2]^3
(x^2 + 16)^3
x^6 + 4,096
Sorry for the wrong answer, this is the correct answer for it:
So, f(x)=2x-6 and g(x)=5x+1. First, I will do the f(g(x)), which is f(g(x))=2(5x+1)-6 => f(g(x))=10x+2-6 => f(g(x))=10x-4. And g(f(x))=5(2x-6)+1 => g(f(x))=10x-30+1 => g(f(x))=10x-29. Both of them have the same slope, but f(g(x)) have a greater y-intercept, which make it greater than g(f(x)). For instance, let x=1, so f(g(x))=10x-4 => f(g(x))=10(1)-4 => f(g(x))=10-4 => f(g(x))=6, and g(f(x))=10x-29 => g(f(x))=10(1)-29 => g(f(x))=10-29 => g(f(x))=-19, and 6 is greater than -19, so f(g(x)) is greater than g(f(x)). Hope this help and fix my mistake.
