Answer:
C) 4
Step-by-step explanation:
Given equation:
The above equation represents proportional relationship.
To find the constant of proportionality.
Solution:
<em>The equation representing proportional relationship is given by:</em>
<em>
</em>
<em>where 
represents constant of proportionality.</em>
So, in order to find the value of for the given proportionality relationship, we will solve for 
We have:
Solving for
Dividing both sides by 2.
∴ 
Thus, the constant of proportionality = 4.
Answer:
D. 1963 square inches
Step-by-step explanation:
Area of a circle= πr^2
π= 3•14
r= 25 inches
3•14 × 25 × 25
= 1962•5
~ 1963 inches
hope it helps
Answer:
Sarah is 4 ft tall.
Step-by-step explanation:
231÷84= 2.75
11 ft ÷ 2.75 = <u>4 ft</u>
Answer:
<em>Choice: B.</em>
Step-by-step explanation:
<u>Operations With Functions</u>
Given the functions:
![f(x)=\sqrt[3]{12x+1}+4](https://tex.z-dn.net/?f=f%28x%29%3D%5Csqrt%5B3%5D%7B12x%2B1%7D%2B4)
The function (g-f)(x) can be obtained by replacing both functions and subtracting them as follows:
![(g-f)(x)= \log(x-3)+6 - (\sqrt[3]{12x+1}+4)](https://tex.z-dn.net/?f=%28g-f%29%28x%29%3D%20%5Clog%28x-3%29%2B6%20-%20%28%5Csqrt%5B3%5D%7B12x%2B1%7D%2B4%29)
Operating:
![(g-f)(x)= \log(x-3)+6 - \sqrt[3]{12x+1}-4](https://tex.z-dn.net/?f=%28g-f%29%28x%29%3D%20%5Clog%28x-3%29%2B6%20-%20%5Csqrt%5B3%5D%7B12x%2B1%7D-4)
Joining like terms:
![\boxed{(g-f)(x)= \log(x-3) - \sqrt[3]{12x+1}+2}](https://tex.z-dn.net/?f=%5Cboxed%7B%28g-f%29%28x%29%3D%20%5Clog%28x-3%29%20-%20%5Csqrt%5B3%5D%7B12x%2B1%7D%2B2%7D)
Choice: B.
Answer:
9x
Step-by-step explanation:
2(2x-1)+10x+2-3x
2x-2+10x+2-3x
9x+2-2
9x
