Answer: a) 7
b) c
<u>Step-by-step explanation:</u>
Inverse is when the x's and y's are swapped.
a)
f(7) = 22 means ..... when x = 7, then y = 22
The inverse is ..... when x = 22, then y = 7
b)
f⁻¹(f(c)) means ...... when x = f(c), then y = c
The reverse of the inverse is ..... when x = c, then y = f(c)
Answer:
12 inches
Step-by-step explanation:
Set up an equation:
Variable x = height of the scale model
3/18 = x/72
Cross multiply:
3 × 72 = 18 × x
216 = 18x
Divide both sides by 18:
12
Answer:
a) 
b) 
Step-by-step explanation:
Let's define the following events first:
F: The event that a course has a final exam.
R: The event that a course requires a research paper
From the info provided we have that:
P(F and R) =0.32
So then we can create a Venn diagram as we can see on the figure attached.
a. Find the probability that a course has a final exam or a research project.
For this case we can find the probability like this:

b. Find the probability that a course has NEITHER of these two requirements.
For this case we can use the complement rule and we can find the probability like this:

And that's the same value obtained with the diagram.
Answer:
The conversion from yards to feet is 3 to 1.
Using this scenario, the football player ran 27 feet to the end zone for a touchdown.
Hopefully this helps! Feel free to mark brainliest!