Answer:
166
Step-by-step explanation:
1) the area of triangles on the left and right sides: 2*13
2) the area of triangles on top and bottom sides: 10*12
3) the area of the rectangle in the middle: 10*2
4) Altogether: 2*13+10*12+10*2=166
Answer:
x<-8 or x>1/5
Step-by-step explanation:
![\frac{x+8}{5x-1} >0](https://tex.z-dn.net/?f=%5Cfrac%7Bx%2B8%7D%7B5x-1%7D%20%3E0)
First we replace > symbol by = sign
![\frac{x+8}{5x-1} =0](https://tex.z-dn.net/?f=%5Cfrac%7Bx%2B8%7D%7B5x-1%7D%20%3D0)
To solve for x we multiply 5x-1 on both sides
x+8 =0
x=-8
5x-1=0 solve for x
x= 1/5
WE got two values x=-8 and x= 1/5
Now we make a number line and check with each interval
x<-8, -8<x<1/5, x>1/5
Pick x= -9 and check with the given inequality
![\frac{-9+8}{5(-9)-1} >0](https://tex.z-dn.net/?f=%5Cfrac%7B-9%2B8%7D%7B5%28-9%29-1%7D%20%3E0)
1/46 >0 is true, so x<-8 satisfies our inequality
Pick x= 0 and check with the given inequality
![\frac{0+8}{5(0)-1} >0](https://tex.z-dn.net/?f=%5Cfrac%7B0%2B8%7D%7B5%280%29-1%7D%20%3E0)
-8 >0 is false , -8<x<1/5 does not satifies our inequality
Pick x= 2 and check with the given inequality
![\frac{2+8}{5(2)-1} >0](https://tex.z-dn.net/?f=%5Cfrac%7B2%2B8%7D%7B5%282%29-1%7D%20%3E0)
10/9>0 is true , x>1/5 satisfies our inequality
Answer:
decreasing the pressure
Step-by-step explanation:
i just took the test
Answer:$1,929.20
Step-by-step explanation:First off, I noted that the answers are pretty far apart so I rounded up to $50 to make it simpler (you should only do this if the answers are pretty far apart from one another.)
$50 per day × 5 days per week × 8 weeks = $2,000. Closest answr (because I rounded) is $1,929.20.
This being a piecewise function, trying to solve f(2), we must find which two equations we can use.
We can use the function '3x + 1' because its domain is 'x is greater than or equal to 2
--> <u>f(2) = 3(2) + 1 = 7</u>
<u></u>
<u></u>
Hope that helps!