Subtract 8 from both sides and then multiply both sides by -5
V = -5
Answer:
C would be equal to (f - 13)/(10 - d)
Step-by-step explanation:
In order to find this, you must manipulate the equation so that the left side has every term with a c in it. Then you can isolate it by dividing and find what it is equal to.
10c - f = -13 + cd -----> Add f to both sides
10c = f - 13 + cd -----> Subtract cd from both sides
10c - cd = f - 13 ------> Pull out c
c(10 - d) = f - 13 -----> Divide by (10 - d)
c = (f - 13)/(10 - d)
Answer:
B: two inches
Step-by-step explanation:
15/1.25=12
24/12=2
Answer:
See below
Step-by-step explanation:
We start by dividing the interval [0,4] into n sub-intervals of length 4/n
![[0,\displaystyle\frac{4}{n}],[\displaystyle\frac{4}{n},\displaystyle\frac{2*4}{n}],[\displaystyle\frac{2*4}{n},\displaystyle\frac{3*4}{n}],...,[\displaystyle\frac{(n-1)*4}{n},4]](https://tex.z-dn.net/?f=%5B0%2C%5Cdisplaystyle%5Cfrac%7B4%7D%7Bn%7D%5D%2C%5B%5Cdisplaystyle%5Cfrac%7B4%7D%7Bn%7D%2C%5Cdisplaystyle%5Cfrac%7B2%2A4%7D%7Bn%7D%5D%2C%5B%5Cdisplaystyle%5Cfrac%7B2%2A4%7D%7Bn%7D%2C%5Cdisplaystyle%5Cfrac%7B3%2A4%7D%7Bn%7D%5D%2C...%2C%5B%5Cdisplaystyle%5Cfrac%7B%28n-1%29%2A4%7D%7Bn%7D%2C4%5D)
Since f is increasing in the interval [0,4], the upper sum is obtained by evaluating f at the right end of each sub-interval multiplied by 4/n.
Geometrically, these are the areas of the rectangles whose height is f evaluated at the right end of the interval and base 4/n (see picture)

but

so the upper sum equals

When
both
and
tend to zero and the upper sum tends to
