Answer:
1. 2^9 = 512
2. 2^3 = 8
3. 7^3 = 343
4. 6^3 = 216
5. 3^6 = 729
Step-by-step explanation:
To start we have to express the number as a multiplication of prime numbers, from there we can take the expression as a power
1.
2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 = 512
2^9 = 512
2.
2 x 2 x 2 = 8
2^3 = 8
3.
7 x 7 x 7 = 343
7^3 = 343
4.
6 x 6 x 6 = 216
6^3 = 216
5.
3 x 3 x 3 x 3 x 3 x 3 = 729
3^6 = 729
Answer:
The graphs are the same because both equations have the same slope, the y-intercept only changes the place of the line. The lines are different because one line is at a different location than the other because of the difference in y intercepts.
Step-by-step explanation:
Given 460 
a) convert it into 
=> It means 
and 
1 ft = 0.3048 m
1 gal = 3.78541 l
![460ft^2= [tex]460\frac{ft^2}{gal} = \frac{42.7354m^2}{3.78541l} = 11.2895m^2/l](https://tex.z-dn.net/?f=460ft%5E2%3D%20%5Btex%5D460%5Cfrac%7Bft%5E2%7D%7Bgal%7D%20%3D%20%5Cfrac%7B42.7354m%5E2%7D%7B3.78541l%7D%20%3D%2011.2895m%5E2%2Fl)
m^2[/tex].
b. 
c.Given= 
To find inverse, divide it by 1.
Inverse- 
Answer:
y = x - 5
Step-by-step explanation:
Given the equation
y = x + ?
We are being asked what value is added to x to give y
Consider the table, that is
x = 1 → y = - 4
x = 2 → y = - 3
x = 3 → y = - 2
x = 4 → y = - 1
x = 5 → y = 0
x = 6 → y = 1
In each case 5 is being subtracted from x to obtain y, that is
y = x - 5 ← equation relating x and y
Answer:
- 
Step-by-step explanation:
Find slope using the slope formula : 
Plug in the given points : 
Add the numbers : 
Calculate the difference : 
Reduce the fraction : -
Solution : -
