Answer:
Isolate x by dividing both sides by 146.25
Step-by-step explanation:
146.25x = 10,734.25
= 73.397 accounting for significant figures.
Answer:
7839716
Step-by-step explanation:
12 and 16........ ........
Answer:
A B and D but don’t quote me on it
Step-by-step explanation:
Answer:
![\displaystyle \mathbf{\frac{5}{(c+4)}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cmathbf%7B%5Cfrac%7B5%7D%7B%28c%2B4%29%7D%7D)
Step-by-step explanation:
<u>Division of Rational Expressions</u>
When dividing two rational expressions like f(c) / g(c), it's usually easier to multiply the numerator by the reciprocal of the denominator: f(c) * (1/g(c)). The reciprocal is just flipping the numerator and the denominator.
Let's find the following division:
![\displaystyle \frac{\frac{c^2-64}{3c^2+26c+16}} {\frac{c^2-4c-32}{15c+10}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7B%5Cfrac%7Bc%5E2-64%7D%7B3c%5E2%2B26c%2B16%7D%7D%20%7B%5Cfrac%7Bc%5E2-4c-32%7D%7B15c%2B10%7D%7D)
First, we factor the polynomials where possible.
![c^2-64 = (c-8)(c+8)](https://tex.z-dn.net/?f=c%5E2-64%20%3D%20%28c-8%29%28c%2B8%29)
![3c^2+26c+16=(3c+2)(c+8)](https://tex.z-dn.net/?f=3c%5E2%2B26c%2B16%3D%283c%2B2%29%28c%2B8%29)
![c^2-4c-32=(c-8)(c+4)](https://tex.z-dn.net/?f=c%5E2-4c-32%3D%28c-8%29%28c%2B4%29)
![15c+10=5(3c+2)](https://tex.z-dn.net/?f=15c%2B10%3D5%283c%2B2%29)
Substituting:
![\displaystyle \frac{\frac{c^2-64}{3c^2+26c+16}} {\frac{c^2-4c-32}{15c+10}}=\frac{\frac{(c-8)(c+8)}{(3c+2)(c+8)}} {\frac{(c-8)(c+4)}{5(3c+2)}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7B%5Cfrac%7Bc%5E2-64%7D%7B3c%5E2%2B26c%2B16%7D%7D%20%7B%5Cfrac%7Bc%5E2-4c-32%7D%7B15c%2B10%7D%7D%3D%5Cfrac%7B%5Cfrac%7B%28c-8%29%28c%2B8%29%7D%7B%283c%2B2%29%28c%2B8%29%7D%7D%20%7B%5Cfrac%7B%28c-8%29%28c%2B4%29%7D%7B5%283c%2B2%29%7D%7D)
Multiplying by the reciprocal of the denominator:
![\displaystyle \frac{\frac{c^2-64}{3c^2+26c+16}} {\frac{c^2-4c-32}{15c+10}}=\frac{(c-8)(c+8)}{(3c+2)(c+8)}\cdot \frac{5(3c+2)}{(c-8)(c+4)}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7B%5Cfrac%7Bc%5E2-64%7D%7B3c%5E2%2B26c%2B16%7D%7D%20%7B%5Cfrac%7Bc%5E2-4c-32%7D%7B15c%2B10%7D%7D%3D%5Cfrac%7B%28c-8%29%28c%2B8%29%7D%7B%283c%2B2%29%28c%2B8%29%7D%5Ccdot%20%20%5Cfrac%7B5%283c%2B2%29%7D%7B%28c-8%29%28c%2B4%29%7D)
Simplifying by (c+8)(3c+2)(c-8):
![\displaystyle \frac{\frac{c^2-64}{3c^2+26c+16}} {\frac{c^2-4c-32}{15c+10}}=\frac{5}{(c+4)}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7B%5Cfrac%7Bc%5E2-64%7D%7B3c%5E2%2B26c%2B16%7D%7D%20%7B%5Cfrac%7Bc%5E2-4c-32%7D%7B15c%2B10%7D%7D%3D%5Cfrac%7B5%7D%7B%28c%2B4%29%7D)
Answer:
![\displaystyle \mathbf{\mathbf{\frac{5}{(c+4)}}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cmathbf%7B%5Cmathbf%7B%5Cfrac%7B5%7D%7B%28c%2B4%29%7D%7D%7D)