Answer:
-19
Step-by-step explanation:
~ Distribute:
- 11 = 1 / 2 x + -3 / 2
~ Flip the equation:
1 / 2 x + -3 / 2 = -11
~ Use transposition method:
(take -3 / 2 to the other side)
1 / 2 x = -11 - (-3 / 2)
= -19 / 2
x = -12 / 2 * 2
= -19
Hope this helped
Wishing u a gr8 day
:D
In order to find the average you have to add up all the data values and then find the sum of the data values.

So on average he ran about 82.5 miles.
Answer:
The correct answer B) The volumes are equal.
Step-by-step explanation:
The area of a disk of revolution at any x about the x- axis is πy² where y=2x. If we integrate this area on the given range of values of x from x=0 to x=1 , we will get the volume of revolution about the x-axis, which here equals,

which when evaluated gives 4pi/3.
Now we have to calculate the volume of revolution about the y-axis. For that we have to first see by drawing the diagram that the area of the CD like disk centered about the y-axis for any y, as we rotate the triangular area given in the question would be pi - pi*x². if we integrate this area over the range of value of y that is from y=0 to y=2 , we will obtain the volume of revolution about the y-axis, which is given by,

If we just evaluate the integral as usual we will get 4pi/3 again(In the second step i have just replaced x with y/2 as given by the equation of the line), which is the same answer we got for the volume of revolution about the x-axis. Which means that the answer B) is correct.