Answer: D
<u>Step-by-step explanation:</u>
f(x) = 2x g(x) = x² - 1
f(g(x)) = 2(x² - 1)
= 2x² - 2
g(f(x)) = (2x)² - 1
= 4x² - 1
To determine the combined amount of cats sold: is equal to 117 cats
- Let the number of Siamese cats sold be S.
- Let the number of House cats sold be H.
- Let the combined amount of cats sold be C.
<u>Given the following data:</u>
- Number of Siamese cats sold = 36
To determine the combined amount of cats sold:
The ratio of Siamese cats sold is given by:

C = 117 cats
Read more: brainly.com/question/12230509
28 = 3x+4x
x = 4
3x = 12
4x = 16
12:16 = 3:4
Answer: After working for 33
hours a week
Step-by-step explanation:
Let us write equations to represent these two places. Let x be hours worked and y be money earned.
Tim Hortons:
$200 + $5x = y
McDonalds:
$300 + $2x = y
Now, to find the conditions of which Tim Hortons is the better employer (on the basis of money earned) we must find the interval that Tim Hortons pays more. This can be found by setting up another equation, or by graphing. I have shown both. <em>See attached for the graph</em>.
$200 + $5x > $300 + $2x
$5x > $100 + $2x
$3x > $100
x > 
x > 33.3334
Tim Hortons is the better employer after an employee has worked for 33
hours a week.
<em>Read more about </em><em>this question</em><em> here:</em>
<em>brainly.com/question/24206551</em>
In general, the average rate of change of f (x) on the interval a, b is given by f(b) – f(a) / b – a. The average rate of alteration of a function, f (x) on an interval is well-defined to be the variance of the function values at the endpoints of the interim divided by the difference in the x values at the endpoints of the interval. this is also known as the difference quotient that tells how on average, the y values of a function are changing in connection to variations in the x values. A positive or negative rate of change is applicable which match up to an increase or decrease in the y value among the two data points. It is called zero rate of change when a quantity does not change over time.