Answer: option C
find f(x) - g(x)
f(x)= 
g(x) = 
To find f(x) - g(x) we plug in the functions and subtract

Remove the parenthesis and change the sign of each term

Combine like terms

So option C is correct
Answer:
$5225
Step-by-step explanation:
Use the formula for the amount after simple interest: 
"A" is the final amount, or balance.
"P" is the principal, or the starting amount.
"r" is the rate of interest in decimal form.
"t" is the time.
What we know:
P = 5000
t = 3
r = 1.5%
Convert the rate to decimal form by dividing by 100, or moving the decimal place two places to the left.
1.5% => 0.015 = r
Substitute what we know into the formula:
A = P(1 + rt)
A = 5000(1 + (0.015)(3)) <=simplify
A = 5000(1 + 0.045)
A = 5000(1.045)
A = 5225 <= new balance
The new balance of an account is $5225.
Answer: 7
Step-by-step explanation:
Answer:
C. 3¹² • y¹⁰
Explanation:
(3⁶ / y⁻⁵) ² = (3⁶) ² / (y⁻⁵) ² =
3^(6 • 2) / y^(-5 • 2) =
3¹² / y⁻¹⁰.
Using the principle of a⁻ⁿ = 1 / aⁿ.
1 / a⁻ⁿ = 1 / 1 / aⁿ = aⁿ.
Thus 3¹² / y⁻¹⁰ = 3¹² • y¹⁰.
Answer:
f(x) = |
(x+1)|-3
Step-by-step explanation:
The value representing the horizontal scaling must be placed inside the absolute value, and we need to put () around x - 1 to change the horizontal shift as well. And remember that we must use the reciprocal in the function, so instead of writing y = |9(x+1)|-3, we need to write y = |
(x+1)|-3.