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Before performing any calculation it's good to recall a few properties of integrals:


So we apply the first property in the first expression given by the question:
![\small \sf{\longrightarrow\int ^3_{-2} [2f(x) +2]dx= 2 \int ^3 _{-2} f(x) dx+ \int f^3 _{2} 2dx=18}](https://tex.z-dn.net/?f=%5Csmall%20%5Csf%7B%5Clongrightarrow%5Cint%20%5E3_%7B-2%7D%20%5B2f%28x%29%20%2B2%5Ddx%3D%202%20%5Cint%20%5E3%20_%7B-2%7D%20f%28x%29%20dx%2B%20%5Cint%20f%5E3%20_%7B2%7D%202dx%3D18%7D)
And we solve the second integral:


Then we take the last equation and we subtract 10 from both sides:


And we divide both sides by 2:


Then we apply the second property to this integral:

Then we use the other equality in the question and we get:


We substract 8 from both sides:

• 
1 yd = 36 inches....so 20 yds = 20*36 = 720 inches....+ 8 inches = 728 inches
728 / 26 = 28 inches....<==each section is 28 inches
Answer:
k=8
Step-by-step explanation:
yes
Answer:
6
Step-by-step explanation:
first, we need to find the GCF (Greatest Common Factor) which is the highest number that can go into every number in the equation (In this case, those numbers are 24 and 30)
The GCF for this would be 6, meaning that there would be 6 bags with and equal amount of granola bars and protein bars.
To be more specific, every bag would have 4 granola bars and 5 protein bars.
Answer:
x is 4
Step-by-step explanation:
Step one: Add 12x to both sides-
8x-19+12x=-12x+61+12x
20x-19=61
Step 2: add 19 to both sides
20x -19+19=61+19
20x=80
Step 3: divide both sides by 20
20x/20=80/20
x=4