Answer:

Step-by-step explanation:
A.) 200+15m=395. This is because the initial price is 200, and after that she will add $15/month. The equation you chose would be exponential, meaning the rate would increase as time passed, which is not the case. Instead, the rate is constant, and the only think that changes is m, the number of months.
b.) I believe it will be easier to answer with ^this equation.
c.) The rate of change would be 15, since the rate is increasing monthly by $15.
d.) Once you solve 209+15m=495, you'll have the answer.
<h2>
Answer: g(f(2)) = 11</h2>
Step-by-step explanation:
g(f(2)) is substituting the value of f(2) for x in g(x). But we must first find f(2).
We know that f (x) = ax² - 12
Since f(3) = 24
⇒ a(3²) - 12 = 24
9 a = 36
a = 4
∴ f(2) = (4)(2²) - 12
= 4
⇒ g(f(2)) = 2(4) + 3
= 11
Answer:
7x+21 = 7x + 21
Step-by-step explanation:
7(x+3)=6-(-7x - 15)
L.H.S
=7(x+3)
=7x+21 (multiply 7 by (x+3))
R.H.S:
=6-(-7x - 15)
= 6+7x+15 (multiply the -ive sign in the bracket)
= 7x + 21 ( adding 15 and 6)
now compare the two sides
7x+21 = 7x + 21 hence we prove that L.H.S= R.H.S
Answer:
Volume, 
Step-by-step explanation:
We have,
Height of each tin is 5 cm
The area of the lid of the tin is 35 square centimeters.
It is required to find the volume of the cat food that the tin contains. Volume of the box is also given by the product of area and height such that,

So, the volume of the cat food that the tin contains is
.