Hello :
<span>f(x)= x +2 and g(x)= 1/x
</span><span>(g o f)(x) = g(f(x))=g(x+2) = 1/(x+2)</span>
<h3><u>The value of p is 24.</u></h3>
3/4p = 18
Multiply both sides by 4.
3p = 72
Divide both sides by 3.
p = 24
To find the total of what you sold for each package, you'll need to write two equations. Know that x = paper plate packages and y = utensil packages.
First, x + y = 15 shows that there has to be fifteen packages, and 8x + 5y = 90 shows the $ made from selling a certain number of packages.
Next, you can solve by substitution, so change x + y = 15 to y = 15 - x.
To find our x, substitute the y in 8x + 5y = 90 to get
8x + 5(15 - x) = 90
Distribute: 8x + 75 - 5x = 90
Combine the X's and subtract the 75: 3x = 15
Divide the 3: x = 5
Now with our x, we can put 5 into the original equation x + y = 15 to get 5 + y = 15. Subtracting the 5, we get y = 10.
So, you have delivered 5 paper plate packages and 10 utensil packages.
The answer would be
C. succession
I am not 100% sure, though