<span>Category Number of Choices
Economics 5 - 3 = 2
Mathematics 4
Education 3
Sociology 2
Since out of 5 sections in Economics 3 are full, there are only 2 remaining sections available for Jessica to choose from.
I think this is a combination:
n = 2 + 4 + 3 + 2 = 11
r = 1 + 1 + 1 + 1 = 4
nCr = n! / r!(n-r)! = 11! / 4!(11-4)! = 11! / 4! * 7! = 330
Jessica can have 330 different sets of classes to take.
</span>
Answer: new Q = (-4, 5)
<u>Step-by-step explanation:</u>
Given: Q = (-4, 1)
Reflected across y = -2:
Q is 3 units above y = -2 so a reflection is 3 units below y = -2 --> Q' = (-4, -5)
Reflected across x-axis:
Q' is 5 units below x-axis so a reflection is 5 units above x-axis --> Q'' = (-4, 5)
Answer:
x = {3, 5}
Step-by-step explanation: