Answer:
1
Step-by-step explanation:
The average rate of change is measured as
in the closed interval [ a, b ]
here [ a, b ] = [ - 5, 5 ]
f(b) = f(5) = - 5² + 5 + 3 = - 25 + 8 = - 17
f(a) = f(- 5) = -(- 5)² - 5 + 3 = - 25 - 2 = - 27
Hence
average rate of change =
=
= 1
Answer:
addition, subtraction, division, multiply
Answer:
A).a. The vertex is in quadrant IV and the graph opens down.
Step-by-step explanation:
Answer:
![\boxed {\boxed {\sf (\frac {7}{2}, \frac{3}{2}) \ or \ (3,5, 1.5) }}](https://tex.z-dn.net/?f=%5Cboxed%20%7B%5Cboxed%20%7B%5Csf%20%28%5Cfrac%20%7B7%7D%7B2%7D%2C%20%5Cfrac%7B3%7D%7B2%7D%29%20%5C%20or%20%5C%20%283%2C5%2C%201.5%29%20%7D%7D)
Step-by-step explanation:
The midpoint is essentially a point with the average of the 2 x-coordinates and the 2 y-coordinates.
The formula is:
![(\frac {x_1+x_2}{2}, \frac{y_1+y_2}{2})](https://tex.z-dn.net/?f=%28%5Cfrac%20%7Bx_1%2Bx_2%7D%7B2%7D%2C%20%5Cfrac%7By_1%2By_2%7D%7B2%7D%29)
We are given two points: A (7,0) and B (0, 3). Remember points are written as (x, y).
Therefore,
![x_1= 7 \\y_1=0 \\x_2=0 \\x_2=3](https://tex.z-dn.net/?f=x_1%3D%207%20%5C%5Cy_1%3D0%20%5C%5Cx_2%3D0%20%5C%5Cx_2%3D3)
Substitute the values into the formula.
![(\frac {7+0}{2}, \frac{0+3}{2})](https://tex.z-dn.net/?f=%28%5Cfrac%20%7B7%2B0%7D%7B2%7D%2C%20%5Cfrac%7B0%2B3%7D%7B2%7D%29)
Solve the numerators first.
![(\frac {7}{2}, \frac{3}{2})](https://tex.z-dn.net/?f=%28%5Cfrac%20%7B7%7D%7B2%7D%2C%20%5Cfrac%7B3%7D%7B2%7D%29)
The midpoint can be left like this because the fractions are reduced, but it can be written as decimals too.
![(3.5, 1.5)](https://tex.z-dn.net/?f=%283.5%2C%201.5%29)
Answer:
lma ooo how many times did you post
4x^2 - 16x + 8
Step-by-step explanation:
4(x-2)^2-8
4(x-2)(x-2)-8
4{x^2-4x+4}-8
4x^2 - 16x +16 - 8
4x^2 - 16x + 8