Answer:
1) f(x) = x/8 - 7
2) f(x) = 1 - x/3
3) f(x) = 20 - 0.25x
4) f(x) = x + 7
Step-by-step explanation:
f^-1 = 8(x + 7)
x + 7 = y/8
x = y/8 - 7
f(x) = x/8 - 7
f^-1 = -3(x - 1)
y/-3 = x - 1
x = 1 - y/3
f(x) = 1 - x/3
f^-1 = 4(20 - x)
y/4 = 20 - x
x = 20 - y/4
f(x) = 20 - x/4
f(x) = 20 - 0.25x
f^-1 = x - 7
y = x - 7
x = y + 7
f(x) = x + 7
Answer:
28.57
Step-by-step explanation:
3.14×0.5=1.750
50÷1.75=5000÷175 to eliminate the decimal points
5000÷175=28.571
then we round the answer to the nearest tenths
=28.57
Answer:
x = ±6
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Algebra II</u>
- Extraneous solutions and multiple answers/roots
Step-by-step explanation:
<u>Step 1: Define</u>
-x² = -36
<u>Step 2: Solve for </u><em><u>x</u></em>
- Divide -1 on both sides: x² = 36
- Square root both sides: x = ±6
<u>Step 3: Check</u>
<em>Plug in x to verify it's a solution.</em>
- Substitute in -6: -(-6)² = -36
- Exponents: -(36) = -36
- Multiply: -36 = -36
- Substitute in 6: -(6)² = -36
- Exponents: -(36) = -36
- Multiply: -36 = -36
Here we see that both -6 and 6 do indeed work as solutions.
∴ x = ±6 are both solutions to the equation.
Answer:
406
Step-by-step explanation:
let the 5 consecutive positive integers be
n , n + 1 , n + 2 , n + 3 , n + 4 , then
n + n + 1 + n + 2 + n + 3 + n + 4 = 2020
5n + 10 = 2020 ( subtract 10 from both sides )
5n = 2010 ( divide both sides by 5 )
n = 402
then
largest integer = n + 4 = 402 + 4 = 406
Answer:
Basic fee = $14.95
1.5 dollars per quart of oil
Step-by-step explanation:
Each customer is charged a fee x (in dollars) for the oil change, plus y dollars per quart of oil used.
The oil change for the car that requires 5 quart of oil costs $22.45.
The oil change for the car that requires 7 quarts of oil costs $25.45.
Both equation having x
so make it equal and solve for y
Add 7y on both sides
subtract 22.45 from both sides
now plug in 1.5 for y and solve for x
