Answer: 
Step-by-step explanation:
Because it is asking for a line, it cannot be the first option (which is a quadratic) or the fourth option (which is an exponential).
This leaves us with the second and third options.
Since the line will have a negative slope (as the data is decreasing), this means that the only viable option is
.
Hello there!
First, let's categorize our monomials with the proper variables.
3x + 12x
11y - 5y
-10z -4z
Now, we can make these into simpler terms by adding/subtracting the sectioned variables.
3x + 12x = 15x
11y - 5y = 6y
-10z - 4z = -14z
Now let's place our results into an expression as a final answer.
15x + 6y - 14z is your final expression.
I hope this helps!
Answer:
A. 15, 20, 25.
Step-by-step explanation:
25^2 = 625
20^2 = 400
15^2 = 225.
Now 625 = 400 + 225 = 625 so it is choice A.
Given:
Consider the given function:

To prove:

Solution:
We have,

Substituting
, we get




Substituting
, we get




Substituting
, we get




Using the algebraic formula, we get
![[\because b^2-a^2=(b-a)(b+a)]](https://tex.z-dn.net/?f=%5B%5Cbecause%20b%5E2-a%5E2%3D%28b-a%29%28b%2Ba%29%5D)

[Commutative property of addition]
Now,




Hence proved.