The average value of a continuous function <em>f(x)</em> over an interval [<em>a</em>, <em>b</em>] is given by the integral,

Compute the integral for <em>f(x)</em> = <em>e</em> ⁻ˣ over [0, 3] :

Sum of angles in a triangle is 180 degrees.
2x + 2x + 8x = 180
12x = 180
x = 180/12 = 15
Therefore, the smallest angle mmeasures 2(15) = 30 degrees.
Answer:
a
Step-by-step explanation:
A is the answer, since when you graph it, you are able to visualize y crossing -2 and x crossing 3.
Set up an equation when x is the cost of a book. If we know that 45 + 5 = 50:
45x = 50(x - .1)
Now, multiply across the parentheses:
45x = 50x - 5 (Now, combine terms over the equal sign)
-50x -50x
-5x = -5 (Now, divide off the -5 from both sides)
/-5 /-5
x = 1
This means that the current cost of a book is <em><u>$1.</u></em> This works out if you test it.
Hope this helps!
~<em>ArchimedesEleven</em>
Answer: C) Lindsey spent a total of $47 on her mother for her birthday. She bought a $35 box of chocolates and some balloons for $4 each. What is x, the number of balloons that Lindsey bought for her mother's birthday?
Step-by-step explanation: