Answer:

The graph is attached.
Step-by-step explanation:
Let be "x" the number of metamorphic samples and "y" the number of sedimentary samples.
You know that you want to to have at most 25 samples, then:

And you want to have at least 3 times as many sedimentary samples as
metamorphic samples, then:

Therefore, the system of inequalities that model the situation is:

The y-intercept of the line
is:

And the x-intercept is:

Knowing this, you can graph the line
The y-intercept of the line
is:

And the x-intercept is:

Knowing this, you can graph the line.
Observe the graph attached, where the solution of the system of inequalities is the intersection of the regions.
Answer:
A perfect score on a test
Step-by-step explanation:
Since the score gets subtracted for each wrong answer, if x=0 then then nothing would get taken away from the initial 80
Answer:
-17/2 =x
Step-by-step explanation:
9–5(x+4)=3(2–x)
Distribute
9 - 5x - 20 = 6 -3x
Combine like terms
-5x-11 = 6-3x
Add 5x to each side
-5x-11 +5x = 6-3x+5x
-11 = 6+2x
Subtract 6 from each side
-11-6 = 6+2x-6
-17 = 2x
Divide by 2
-17/2 = 2x/2
-17/2 =x