Answer: a
Infinitely many
Step-by-step explanation:
Solve by substitution:
1) Solve
for
:

2) Substitute
for
in
:


3) Simplify both sides of the equation:

4) Add -2 to both sides of the equation:

5) Simplify both sides of the equation:

Therefore, there are infinitely many solutions.
Solve by elimination:
You cannot solve this system by elimination
Solve by graphing:
The
equations are on top of each other, therefore, the system of equations has infinitely many solutions.

Answer: The domain of (f•g)(x) is all real numbers except for 0

Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Maximum capacity of hard drive = 500 GB
Space used up = 58 GB
Size per movie = 8GB
Number of movies = x
1)
[(Number of movies * size per movie) + used up space] should be less than or equal to the maximum capacity to f the drive.
From Elena's inequality, the total space taken up by movies + used up space is greater than total capacity of hard drive.
That is ;
[(8x + 58 ≤ 500
8x ≤ 500 - 58
8x ≤ 442
x ≤ 442 / 8
x ≤ 55.25
The maximum number of movies Elena can download is 55
Answer:
y= 5/2x - 5
Step-by-step explanation:
5x - 2y = 10
-5x -5x (Subtract both sides by 5x to leave y by itself)
-2y = -5x + 10
-2y/-2 = -5/-2 + 10/-2
(Divide both sides by -2 to leave y with no coefficient. -5/-2 = 5/2 because there are two negatives. 10/-2 = -5.
y = 5/2 - 5