Answer:

Step-by-step explanation:
<u><em>Explanation:-</em></u>
Given that the function
y = f(x) = 3 x ( 4 x + 7)
y = 3 x ( 4 x + 7)
y = 12 x² + 21 x ..(i)
Differentiating equation (i) with respective to 'x' , we get


Answer:
g(f(-4)) = -8
f(g(x)) = 13-10x
Step-by-step explanation:
g(f(-4)):
Plug in the equation f(x) into the variable x of g(x), we have:

Plug in x = -4 and the answer is -8
f(g(x)):
Plug in the equation g(x) into the variable x of f(x), we have:

Answer:
7.1 hours
Step-by-step explanation:
Given data
Let the number of hours taken to fill the pool be x
the current quantity is 1/2 the capacity of the pool
we are given that the rate of flow = 4.75 in per hour
let the total amount of water after x hours be y, the expression for the quantity of water is given as

if y= 33.75 in, let us find x

divide both sides by 4.75

Hence, it will take 7.1 hours
Answer:
x= -5
y= -2
Step-by-step explanation:
From the equation y=x+3-------eqn 1
x+y= -7-------eqn2
x+(x+3)= -7 (since there is no value before the bracket is 1, so multiply by 1)
x+x+3= -7
2x+3=-7
2x=-7-3
2x=-10
x=-10/2
x=-5
Insert x value in equation 1
y= -5+3
y=-2
Answer:
$72
Step-by-step explanation:
$56.00÷28=2. $36.00×2=$72.00
Hope this helps :)