Rewrite the equation in slope-intercept form:
9x - 7y = 21
-7y = -9x + 21
y = (9/7)(x) - 3
The y-intercept is where x = 0.
y = (9/7)(0) - 3
y = 0 - 3
y = -3
The x-intercept is where y = 0.
0 = (9/7)(x) - 3
3 = (9/7)(x)
21 = 9x
x = 21/9
x = 7/3
The correct answer would be C. The x-intercept would be at (7/3, 0) and the y-intercept at (0, -3). Hope that helps! :)
The value of 4 in 475 is 4 hundred
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
