F(x) multiplied by g(x)
=
(x+12)(x-5)
Here you need to use the FOIL method (first, outside, inside, last)
Answer: x^2 - 5x + 12x - 60

describes a sum of the areas of 50 rectangles, each of width

, and the

th rectangle has height

.

ranges from a small positive number to 1, which means the integration interval must be
![[0,1]](https://tex.z-dn.net/?f=%5B0%2C1%5D)
. The sum is then the right-endpoint Riemann sum of

over the interval with

equally spaced subintervals, so

The sum itself evaluates to roughly 0.676, while the exact value of the integral is

.
Note: Consider we need to find the vertices of the triangle A'B'C'
Given:
Triangle ABC is rotated 90 degrees clockwise about the origin to create triangle A'B'C'.
Triangle A,B,C with vertices at A(-3, 6), B(2, 9), and C(1, 1).
To find:
The vertices of the triangle A'B'C'.
Solution:
If triangle ABC is rotated 90 degrees clockwise about the origin to create triangle A'B'C', then

Using this rule, we get



Therefore, the vertices of A'B'C' are A'(6,3), B'(9,-2) and C'(1,-1).
Answer:
Step-by-step explanation:
Slope:
−
1
y-intercept:
23
Answer:
3 cups of water
Step-by-step explanation:
Henry is making a corn grits recipe that calls for 1/4 cup of corn grits for every 1/2 cup of water. How much water will he need if he uses 1 1/2 cups of corn grits?
Expand 1/2 to 2/4, if there is 1 1/2 cups of corn grits, that means that 1/4 cups of corn grits was used 6 times, 1/2x6=3. He will need 3 cups of water