Answer:
v = 25.6
Step-by-step explanation:
1. Multiply both sides of the equation by 4.
(6.4)(4) = 25.6
Answer:
a = 2
Step-by-step explanation:
given x = - 1 is a zero then f(- 1) = 0 , that is
a(- 1)³ - (- 1)² - 1 + 4 = 0
- a - 1 - 1 + 4 = 0
- a + 2 = 0 ( subtract 2 from both sides )
- a = - 2 ( multiply both sides by - 1 )
a = 2
Answer:
![x=-2/5\text{ or } x=-4/5](https://tex.z-dn.net/?f=x%3D-2%2F5%5Ctext%7B%20or%20%7D%20x%3D-4%2F5)
Step-by-step explanation:
So we have the equation:
![9-4|3+5x|=5](https://tex.z-dn.net/?f=9-4%7C3%2B5x%7C%3D5)
First, subtract 9 from both sides:
![-4|3+5x|=-4](https://tex.z-dn.net/?f=-4%7C3%2B5x%7C%3D-4)
Divide both sides by -4:
![|3+5x|=1](https://tex.z-dn.net/?f=%7C3%2B5x%7C%3D1)
Definition of Absolute Value:
![3+5x=1\text{ or } 3+5x=-1](https://tex.z-dn.net/?f=3%2B5x%3D1%5Ctext%7B%20or%20%7D%203%2B5x%3D-1)
Subtract 3 from both sides:
![5x=-2\text{ or } 5x=-4](https://tex.z-dn.net/?f=5x%3D-2%5Ctext%7B%20or%20%7D%205x%3D-4)
Divide both sides by 5:
![x=-2/5\text{ or } x=-4/5](https://tex.z-dn.net/?f=x%3D-2%2F5%5Ctext%7B%20or%20%7D%20x%3D-4%2F5)
And we're done!
Answer:
x y
15 -1
12 0
9 1
6 2
3 3
0 4
Step-by-step explanation:
This is a function table. For a linear function, find the average rate of change between the listed points called slope. Then use the slope to fill in other inputs and outputs for the function.
![m = \frac{y_2-y_1}{x_2-x_1}=\frac{4-0}{0-12} =\frac{4}{-12} =- \frac{1}{3}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%3D%5Cfrac%7B4-0%7D%7B0-12%7D%20%3D%5Cfrac%7B4%7D%7B-12%7D%20%3D-%20%5Cfrac%7B1%7D%7B3%7D)
This means for every 3 units made in the input, the function moves down 1 output.
x y
15 -1
12 0
9 1
6 2
3 3
0 4