Answer:
27 : 8
Step-by-step explanation:
Given 2 similar figures with ratio of sides a : b, then
ratio of areas = a² : b² and
ratio of volumes = a³ : b³
Here the ratio of areas = 9 : 4, thus
ratio of sides = 
: 
= 3 : 2
ratio of volumes = 3³ : 2³ = 27 : 8
Answer: t = 3seconds
Step-by-step explanation:
To find the zero means we will equate the function to zero and then solve, that is
+ 32t + 48 = 0
by factorizing , we have
(t+1)(-16t+48) = 0
Therefore:
t = -1 or t = 3
since time can not be negative , then , t = 3 seconds
To find the mean you must add up all the numbers and divide by how many there are:
35 + 60 + x
_________ = 70
3
35 + 60 + x = 210
x = 65
He must score at least a 65 for a 70 average.
To find the inverse, we swap the variables y and x, then solve for the new y.
3a.
Swapping the variables:
Solving for y:
The domain of this inverse is
.
3b.
Swapping:
Solving for y:
The domain of this inverse is
.
3c.
![y=\sqrt[3]{\frac{x-7}{3}}](https://tex.z-dn.net/?f=y%3D%5Csqrt%5B3%5D%7B%5Cfrac%7Bx-7%7D%7B3%7D%7D)
Swapping:
![x=\sqrt[3]{\frac{y-7}{3}}](https://tex.z-dn.net/?f=x%3D%5Csqrt%5B3%5D%7B%5Cfrac%7By-7%7D%7B3%7D%7D)
Solving for y:
The domain of this inverse is all real numbers.
4a.
,
4c.
,
![y=\sqrt[3]{\frac{(3x^3+7)-7}{3}} \\ y=\sqrt[3]{\frac{3x^3}{3}} \\ y=\sqrt[3]{x^3} \\ y=x](https://tex.z-dn.net/?f=y%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B%283x%5E3%2B7%29-7%7D%7B3%7D%7D%20%5C%5C%20y%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B3x%5E3%7D%7B3%7D%7D%20%5C%5C%20y%3D%5Csqrt%5B3%5D%7Bx%5E3%7D%20%5C%5C%20y%3Dx)
![y=3(\sqrt[3]{\frac{x-7}{3}})^3+7 \\ y = 3({\frac{x-7}{3}})+7 \\ y = (x-7)+7 \\ y=x](https://tex.z-dn.net/?f=y%3D3%28%5Csqrt%5B3%5D%7B%5Cfrac%7Bx-7%7D%7B3%7D%7D%29%5E3%2B7%20%5C%5C%20y%20%3D%203%28%7B%5Cfrac%7Bx-7%7D%7B3%7D%7D%29%2B7%20%5C%5C%20y%20%3D%20%28x-7%29%2B7%20%5C%5C%20y%3Dx)
Answer
True
Explanation
Common sense
