Answer: Carlos is correct
Step-by-step explanation:
2x^5-250x^2
The first step is to factorize out 2x^2
2x^2(x^3-125)
This can be rewritten as
2x^2(x^3-5^3),
Recall, difference if cube (a^3-b^3)
= (a-b)(a^2 +ab + b^2)
from our equation,
a= x
b = 5.
So the difference of cubes will be
2x^2[(x-5) (x^2 + 5x + 5^2)]
=2x^2[(x-5) (x^2 + 5x + 25)]
Carlos followed these steps. So he is correct. Carlos is correct because he correctly factored the GCF, identified a and b, and applied the difference of cubes method.
Amber is incorrect because 125 is equal to b3, not b.
Bernie is incorrect because x2 is not the GCF of the polynomial. The GCF is 2x^2.
Answer:

Step-by-step explanation:
Given:
Two points are given
x = number of minutes
y = length of the lin
⇒ (0, 6)
⇒ (20, 17)
We need to find the equation that represents the relationship between x, y.
Solution:
Using slope formula to find the slope of the equation of the line.

Substitute
= (0, 6) and
= (20, 17) in above equation.

So, slope of the line 
Using point slope formula.
------------(1)
Where, m = slope of the line
Substitute
⇒ (0, 6) and
in equation 1.


Add 6 both side of the equation.


Therefore, the equation that represents the relationship between x and y is written as:

Answer:



Step-by-step explanation:
We know that the point (-6, 1) belongs to the main function g(x)
The transformation

add 1 to the input variable (x) and subtract 5 to the output variable (y)
So the point in the graph of
is


The point is: 
The transformation

subtract two units from the input variable (x), multiply the output variable (y) by -2 and then add 4 units
So the point in the graph of
is

The point is: 
The transformation

Multiply the input variable (x) by 2 and then add two units
So the point in the graph of
is


The point is: 