I'm more visual, but if you're not, and this confuses you, ask me, and I'll explain it.
Answer:
Step-by-step explanation:
This is function composition. We will take the g function and plug it into the f function wherever we see an x. That will look like this when it's done but before it's simplified:
and that can be simplified down to

The domain of this function will be all real numbers EXCEPT for the one(s) that cause the denominator to become undefined. Set the denominator equal to 0 and solve for x:
5x - 4 = 0 so
5x = 4 and
x = 4/5
In other words, D = {x | x ≠ 4/5}
We write it out as an equation:
-1 = -2v + 2/3
Rearrange:
-1 -2/3 = -2v
Multiply by negative to equal positive
1 2/3 = 2v
Make 1 into a fraction
3/3 + 2/3 = 2v
5/3 = 2v
10/6 = 2v
5/6 = v
The answer is: v equals 5/6
Answer:
C. 75 people
Step-by-step explanation:
50x5=250
15x5 = 75
so, 75 people
9514 1404 393
Answer:
D. 2/5
Step-by-step explanation:
The slope is the x-coefficient when the equation is solved for y.
2x -5y = 9 . . . . . . . given
-5y = -2x +9 . . . . . .subtract 2x
y = (-2/-5)x +9/(-5) . . . . divide by -5
y = 2/5x -9/5
The coefficient of x is 2/5. That is the slope of the line.
The slope is 2/5.