Answer:
=−4√2
I got this when simplified.
Answer:
g(f(x))=x^2 + 14x + 48
Step-by-step explanation:
you insert (x+7) into every x in the g(x) equation, so g(x)=(x+7)^2 - 1. then you simplify it by doing (x+7)(x+7) which gets you x^2 + 14x + 49. then you subtract the 1 from the equation to get g(f(x))=x^2 + 14x + 48.
Answer:
You are correct that the cross section is a rectangle, because a rectangular pyramid has 4 sides connected to the top of the rectangle.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Step 1: First apply radical rule in the given expression.
![\sqrt[n]{a}=a^{\frac{1}{n}}](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Ba%7D%3Da%5E%7B%5Cfrac%7B1%7D%7Bn%7D%7D)
Here, ![\sqrt[3]{7}=7^{\frac{1}{3}}, \sqrt[5]{7}=7^{\frac{1}{5}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B7%7D%3D7%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%2C%20%5Csqrt%5B5%5D%7B7%7D%3D7%5E%7B%5Cfrac%7B1%7D%7B5%7D%7D)
The expression becomes ![\frac{\sqrt[3]{7}}{\sqrt[5]{7}}=\frac{7^{\frac{1}{3}}}{7^{\frac{1}{5}}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%5B3%5D%7B7%7D%7D%7B%5Csqrt%5B5%5D%7B7%7D%7D%3D%5Cfrac%7B7%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%7D%7B7%5E%7B%5Cfrac%7B1%7D%7B5%7D%7D%7D)
Step 2: Now, apply exponent rule in the above expression
So, the expression becomes, 
.
Step 3: Take cross multiply the denominator and numerator of the fraction in the power of 7.
The answer is .
Hence the simplified form of ![\frac{\sqrt[3]{7}}{\sqrt[5]{7}}=7^{\frac{2}{5}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%5B3%5D%7B7%7D%7D%7B%5Csqrt%5B5%5D%7B7%7D%7D%3D7%5E%7B%5Cfrac%7B2%7D%7B5%7D%7D)
.
Answer:
See below
Step-by-step explanation:
Let's convert the two fractions.
The two categories are now closest to -0.6 and closest to 0.8.
Closest to -0.6 or -3/5: -0.2, -4/5,
Closest to 0.8 or 4/5: 0.6, 2/5
