Answer:
(x-10)(x+10)
Step-by-step explanation:
x^2 – 100
This is the difference of squares
x^2 - 10^2
We know that (a^2 - b^2) = (a-b) (a+b)
(x-10)(x+10)
Answer:
(a) Equations for both
--- lifeguard
--- camp counselor
(b) Total pay for 5 days
Lifeguard pays $800
Camp counselor pays $375
(c) Which pays more
Lifeguard job pays more
Step-by-step explanation:
Let


Given
Lifeguard job


Camp counselor job


Solving (a): The equation for both
The total pay for each job is calculated as:
Total Pay = Signing Bonus + Rate * Hours
So, we have:
Lifeguard


Camp counselor


Solving (b): Total pay for 5 days
First, we calculate the total hours worked in 5 days


So, the pay for each is:


--- Lifeguard


--- camp counselor
Solving (c): Which job pays more
By comparing the solution in (b)

<em>Hence, lifeguard job pays more</em>
Answer:
Domain: all real values of x
Range: all real values of y
Translation depends on the parent function
If the first function was:
y = cuberoot(x)
Then translation is:
Vertical translation 1 unit downwards
Answer:
2
Step-by-step explanation:
A commutative function means that when you insert one function in space of x in the other function, they will equal x. The equation is f(g(x)) = g(f(x)) = x
So, 2(
) - 1 = 
If you multiply both sides by <em>a</em>, you get 2<em>a</em>(
) - a = (2x-1)+1
Simplify it 2<em>a</em>(
) - <em>a</em> = 2x
Add <em>a</em> to both sides 2<em>a</em>(
) = 2x +<em>a</em>
The two <em>a</em>s on the left cancel out 2(x+1)=2x+<em>a</em>
Distribute the 2 2x+2=2x+<em>a</em>
Then subtract 2x from both sides 2 = <em>a</em>
Therefore, <em>a</em> = 2
Hope this helps!