Answer: 120 seconds
Step-by-step explanation: In order to find the maximum value of a function, you can take the derivative of the function and equalize the result to 0.
f'(x)=(-3x^2 + 12x)'=-6x+12=0
x=2
When x is 2, the function will reach its maximum value.
f(2)=-3(2)^2 + 12.2 = -12 + 24 = 12
The maximum value (f(x)) is equal to 12 and the time passed is 2 minutes which is equal to 120 seconds.
It would be 24.6 ×24.6
it's 605.16
Answer:
r = 4
General Formulas and Concepts:
<u>Pre-Alg</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
-5 + 22 = r - 4 + 3r + 5
<u>Step 2: Solve for </u><em><u>r</u></em>
- Combine like terms: 17 = 4r + 1
- Subtract 1 on both sides: 16 = 4r
- Divide 4 on both sides: 4 = r
- Rewrite: r = 4
<u>Step 3: Check</u>
<em>Plug in r to verify it's a solution.</em>
- Substitute: -5 + 22 = 4 - 4 + 3(4) + 5
- Add/Subtract: 17 = 3(4) + 5
- Multiply: 17 = 12 + 5
- Add: 17 = 17
- (2x+y+2z) = -(2(x+z) + y)
Answer:
Step-by-step explanation:
30 is half or 60
45 is half of 90
1:2 ratio