Going off the idea that this is 4/(y+2) - 9/(y-2) = 9/(y^2-4), let's first rewrite y^2-4 in the form of a^2-b^2, where a=y and b=2.
y/(y+2)-9/(y-2)=9/(y^2-2^2)
Now, use difference of squares: a^2-b^2=(a+b)(a-b)
4/(y+2)-9/(y-2)=9/((y+2)(y-2))
Multiply both sides by the Least Common Denominator: (y+2)(y-2)
4(y-2)-9(y+2)=9
Then keep on simplifying until you get your answer
-5y-26=9
-5y=9+26
-5y=35
y=35/-5
y=-7
Yay! Our answer is y=-7!
Answer:
$42.26
Tom spent more on tax ($1.54 vs his cousin's $0.72)
Step-by-step explanation:
Tom: $22 x 1.07 = $23.54
tax spent = 22 x 0.07 = $1.54
Cousin: $18 x 1.04 = $18.72
tax spent = 18 x 0.04 = $0.72
Total= $23.54 + $18.72 = $42.26
Just plug in 2 for x since f(x) = f(2)
f(2)=2^2+1
f(2)=4+1
f(2)=5
First, find the slope
4
then plug it in
y=4x+b
4=4(1)+b
the y intercept is 0
y=4x is your equation
