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:
Step-by-step explanation:
D. Add 10 to each side, and then divide each side by 4.
4x - 10 = 6
<u> 10 10</u>
4x/4 = 16/4
x = 4
Answer:
Step-by-step explanation:
a 1
b 1/16
c 1 /256
Answer:
2½
Step-by-step explanation:
First find the Least Common Denominator [LCD], which is 6, then convert 5⅙:
5⅙ → 4 7⁄6

You see, we regrouped 1 from 5⅙ to make sure that the top mixed number had a higher value than the bottom mixed number, so it is much easier to work with.
I am joyous to assist you anytime.
Answer:
B
Step-by-step explanation:
Remark
I have to represent f(x) as plus +f(x)
I like to show this situation as +f(g(x)) which I think is much clearer.
+f(x) = 5x - 4
Solution
+f(g(x)) = 5(g(x)) - 4 What has happened is that wherever you see an x on the right you put in g(x).
Now on the right, you put whatever g(x) is equal to.
+f(g(x)) = 5(x^2 - 1) - 4
Remove the brackets.
+f(g(x)) = 5x^2 - 5 - 4
And make x = 0
+f(g(0)) = 5*0 - 5 - 4
+f(g(0)) = - 9