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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:
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Answer:
Your answer is in the picture.
Step-by-step explanation:
Visit the website if you want to factor polynomial.
Answer:
10.9
Step-by-step explanation:
Formula = Number x 100
Percent = 6 x 100
55 = 10.91
Following shows the steps on how to derive this formula
Step 1: If 55% of a number is 6, then what is 100% of that number? Setup the equation.
6
55% = Y
100%
Step 2: Solve for Y
Using cross multiplication of two fractions, we get
55Y = 6 x 100
55Y = 600
Y = 600
100 = 10.91
Answer:
The sale price of a $90 item after a 50% discount is $45.
408,017 is in standard form and
400,000+8,000+10+7=408,017 is expanded form
sixty five thousand and fifty eight is word form
60,000+5,000+50+8=65͵058 is expanded form
