24057
99
21141
87
These are the correct answers.
Answer:
1). = (200 - )
2). Inverse function represents the age of the client and 'x' represents the maximum heart rate of the client.
Step-by-step explanation:
Function representing the maximum heart rate is,
f(x) = 0.85(220 - x)
Here x = age of the client
Equation form of the function will be,
y = 0.85(220 - x)
To get the inverse of the given function, replace 'x' by 'y' and 'y' by 'x' and solve for y.
x = 0.85(220 - y)
220 - y =
y = 220 -
Now convert this equation into a function.
= (200 - )
Here inverse function represents the age of the client and 'x' represents the maximum heart rate of the client.
The nearest 100,000 is 3,200,000
Answer:
x = -3
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
5(x + 4) = -2(-4 - x) + 3
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute: 5x + 20 = 8 + 2x + 3
- Combine like terms: 5x + 20 = 2x + 11
- Subtract 2x on both sides: 3x + 20 = 11
- Subtract 20 on both sides: 3x = -9
- Divide 3 on both sides: x = -3
<u>Step 3: Check</u>
<em>Plug in x to verify it's a solution.</em>
- Substitute: 5(-3 + 4) = -2(-4 - -3) + 3
- Simplify: 5(-3 + 4) = -2(-4 + 3) + 3
- Add: 5(1) = -2(-1) + 3
- Multiply: 5 = 2 + 3
- Add: 5 = 5
Here we see that 5 does indeed equal 5. ∴ x = -3 is a solution of the equation.
And we have our final answer!