Answer:
r = 9
Step-by-step explanation:
3(r - 1) - 2(r + 3) = 0
First, use the distributive property.
3r - 3 -2r - 6 = 0
Now, isolate the variable "r" to one side by adding the opposite of the whole numbers to each side so it cancels it out on the left ide and adds it to the right.
3r - 3 -2r - 6 = 0
+3 +6 +3 +6
3r - 2r = 9
Subtract the r's.
r = 9
Now that we know r = 9, we can plug in 9 into the original (but distributed) expression for every time it uses the variable "r" to check our work.
3r - 3 -2r - 6 = 0
3(9) - 3 - 2(9) - 6 = 0
27 - 3 - 18 - 6 = 0
24 - 24 = 0
0 = 0
So, r = 9 is true.
Hope this helps! If you have any additional questions, please don't hesitate to ask me or your teacher to be sure you master the subject. Stay safe, and please mark brainliest!
Splitting up the interval [0, 6] into 6 subintervals means we have
![[0,1]\cup[1,2]\cup[2,3]\cup\cdots\cup[5,6]](https://tex.z-dn.net/?f=%5B0%2C1%5D%5Ccup%5B1%2C2%5D%5Ccup%5B2%2C3%5D%5Ccup%5Ccdots%5Ccup%5B5%2C6%5D)
and the respective midpoints are

. We can write these sequentially as

where

.
So the integral is approximately

Recall that



so our sum becomes

Answer: I think b
Step-by-step explanation:
The axis of symmetry is given by the line x = a (where a is equivalent to the x-value of the turning point of the parabola) and can be viewed as the line about which the parabola is symmetric; in this case, the parabola has an axis of symmetry of x = 2, thus the answer is B
Answer:
the second one
Step-by-step explanation:
it is not 2/3 because it is 1/2