Answer:
Step-by-step explanation:
As it is bad written, i suppose it is
![\dfrac{81^x}{9^{5x-8}} =9^{f(x)}\\\\9^{2x-(5x-8)}=9^{f(x)}\\\\2x-5x+8=f(x)\\\\\\\boxed{f(x)= -3x+8}\\](https://tex.z-dn.net/?f=%5Cdfrac%7B81%5Ex%7D%7B9%5E%7B5x-8%7D%7D%20%3D9%5E%7Bf%28x%29%7D%5C%5C%5C%5C9%5E%7B2x-%285x-8%29%7D%3D9%5E%7Bf%28x%29%7D%5C%5C%5C%5C2x-5x%2B8%3Df%28x%29%5C%5C%5C%5C%5C%5C%5Cboxed%7Bf%28x%29%3D%20-3x%2B8%7D%5C%5C)
Answer:
Step-by-step explanation:
First turn the mixed fractions into improper fractions
--> (
) × (
)
×![\frac{-17}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B-17%7D%7B3%7D)
Then multiply. the answer becomes −15 13/15
Answer:
your answer will be 42
Step-by-step explanation:
![v=(\frac{1}{2}bh)H\\\\\frac{1}{2} (7cm)(6cm)(8cm)\\\\=168cm^{3} \\\168cm^{3} =x:7056cm^{3} \\\\\frac{1}{168} =\frac{x}{7056} \\\\x=\frac{7056}{168} =42](https://tex.z-dn.net/?f=v%3D%28%5Cfrac%7B1%7D%7B2%7Dbh%29H%5C%5C%5C%5C%5Cfrac%7B1%7D%7B2%7D%20%287cm%29%286cm%29%288cm%29%5C%5C%5C%5C%3D168cm%5E%7B3%7D%20%5C%5C%5C168cm%5E%7B3%7D%20%3Dx%3A7056cm%5E%7B3%7D%20%5C%5C%5C%5C%5Cfrac%7B1%7D%7B168%7D%20%3D%5Cfrac%7Bx%7D%7B7056%7D%20%5C%5C%5C%5Cx%3D%5Cfrac%7B7056%7D%7B168%7D%20%3D42)
hope it helps.
Answer:
B. 36 square inches
Step-by-step explanation:
we know that
The area of the mat is equal to the area of the rectangle containing a mat and a picture minus the area of the picture
The area of the picture is equal to the area of two trapezoids plus the area of the central rectangle
step 1
Find the area of the rectangle containing a mat and a picture
![A=(12)(6)=72\ in^2](https://tex.z-dn.net/?f=A%3D%2812%29%286%29%3D72%5C%20in%5E2)
step 2
Find the area of the picture (two trapezoids plus the area of the central rectangle)
![A=\frac{1}{2}(4+2)(2)+\frac{1}{2}(4+2)(2)+(6)(4)](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%284%2B2%29%282%29%2B%5Cfrac%7B1%7D%7B2%7D%284%2B2%29%282%29%2B%286%29%284%29)
![A=36\ in^2](https://tex.z-dn.net/?f=A%3D36%5C%20in%5E2)
step 3
Subtract the areas
![72-36=36\ in^2](https://tex.z-dn.net/?f=72-36%3D36%5C%20in%5E2)
Answer:
b = 1
b = -1
a = 0
Step-by-step explanation: