I have my notes here that will help you in answering the problem:
Test to determine if a function y=f(x) is even, odd or neither: Replace x with -x and compare the result to f(x). If f(-x) = f(x), the function is even. If f(-x) = - f(x), the function<span>is odd.
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I hope my answer has come to your help. God bless and have a nice day ahead!
Answer:
Step-by-step explanation:
hello :
-4+5|4x-4|=21
add 4 : 5|4x-4| = 25
divid by 5 : |4x-4| = 5 means : 4x-4 = 5 or 4x-4 = - 5
4x=9 or 4x =-1
x= 9/4 or x = - 1/4
Answer:
Step-by-step explanation:
Given that among 500 freshmen pursuing a business degree at a university, 315 are enrolled in an economics course, 213 are enrolled in a mathematics course, and 123 are enrolled in both an economics and a mathematics course.
From the above we find that
a) either economics of Math course is

Out of 500 students 405 have taken either Math or Economics
Hence
c) student who have taken neither = 
Exactly one course is either math or economics - both
= 
First, rewrite the equation in standard form.
The center-radius form of the circle equation<span> is in the format:
(x – h)^</span>2<span> + (y – k)^</span>2<span> = r^</span>2
<span>with the center being at the </span>point<span> (h, k) and the radius being "r".
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(x-3)^2 + (y+4)^2 = 81
From here, you can determine the center and radius. The center is at (3,-4) and the radius is 9.