Answer: -4.25 ≤ x ≤ 6.25
Step-by-step explanation:
The midpoint of a segment is located at the same distance of each of the endpoints of the segment.
The midpoint is at x = 1.
The length of the segment is 10.5, if we divide it by two we have:
10.5/2 = 5.25
Now, if we want the endpoints to be at the same distance of the midpoint, then the endpoints will be:
Xmax = midpoint + 5.25
Xmin = midpoint - 5.25
Then the extremes are:
Xmax = 1 + 5.25 = 6.25
Xmin = 1 - 5.25 = -4.25
Then this segment can be written as:
Xmin ≤ x ≤ Xmax
-4.25 ≤ x ≤ 6.25
Answer:
bh/2
Meaning :
base times height, halfed
Splitting up the interval of integration into
subintervals gives the partition
![\left[0,\dfrac1n\right],\left[\dfrac1n,\dfrac2n\right],\ldots,\left[\dfrac{n-1}n,1\right]](https://tex.z-dn.net/?f=%5Cleft%5B0%2C%5Cdfrac1n%5Cright%5D%2C%5Cleft%5B%5Cdfrac1n%2C%5Cdfrac2n%5Cright%5D%2C%5Cldots%2C%5Cleft%5B%5Cdfrac%7Bn-1%7Dn%2C1%5Cright%5D)
Each subinterval has length
. The right endpoints of each subinterval follow the sequence

with
. Then the left-endpoint Riemann sum that approximates the definite integral is

and taking the limit as
gives the area exactly. We have

Let m and s be the number of math and sociology books sold respectively.
m=s+88 we are also told that:
m+s=426, using m found above in this equation gives you:
s+88+s=426 combine like terms on left side
2s+88=426 subtract 88 from both sides
2s=338 divide both sides by 2
s=169, since m=s+88
m=169+88=257
So 257 math and 169 sociology textbooks were sold.
Answer:
y=3.25x+2
Step-by-step explanation:
Y is the total height after x weeks and since it has grown 3.25 inches per 2 weeks it would be 3.25x and add 2 because the initial height is 2 inches