Answer:
f(g(x)) = -9(sqrt(x + 1) ) + 9
-36
Step-by-step explanation:
This is easier to see if you use the expanded notation.
f(g(x)) = ?
But what that means is that the left most function is f(x) and where every you see an x, you put in a g(x) like so
f(g(x)) = -9(g(x)) + 9 Now substitute the right side of g(x) into the equation for f(x)
f(g(x)) = -9(sqrt(x + 1) ) + 9
Edit to get the numerical answer.
This should be your answer or the expression that will give you the answer.
f(g(24)) = -9(sqrt(24+1) ) + 9
f(g(24)) = -9sqrt(25) +9
f(g(24)) = - 9*5 + 9
f(g(24)) = - 45 + 9
f(g(24)) = - 36
The slope is 10
(-5,-9)
(-4,-a)
a=-19
Because the slope is 10, that means when the input increases, the output will increases 10.
Answer:
Hose A fills at a rate of 10 gal per min
Hose B fills at a rate of 8 gal per min
Hose B fills at a faster rate
Step-by-step explanation:
Answer:
$395.61
Step-by-step explanation:
The formula for simple interest is:

Where
i is the interest amount
P is the principal amount
r is the rate of interest per time period
t is the time period
Here,
P = 4869
we want to find after 30 months, that converted to years is:
30/12 = 2.5 years
t = 2.5
The annual rate is 3.25% = 0.0325
Now, substituting, we find our answer:

The interest earned is <u>$395.61</u>
Answer: $2244.76
Step-by-step explanation:
Well, <em>semimonthly </em>means that she is paid the amount of $1,122.38 twice a month. I am making the assumption that taxes have already been taken out of this amount, and the amount listed above is how much she will take home. I then multiplied $1,122.38 × 2 which equaled $2244.76. This is how much Genelle will take home monthly.