Finite Math Examples

Find the Maximum/Minimum Value C(x)=0.001x^2-0.15x+18.50
Step 1
The minimum of a quadratic function occurs at . If is positive, the minimum value of the function is .
occurs at
Step 2
Find the value of .
Tap for more steps...
Step 2.1
Substitute in the values of and .
Step 2.2
Remove parentheses.
Step 2.3
Simplify .
Tap for more steps...
Step 2.3.1
Multiply by .
Step 2.3.2
Divide by .
Step 2.3.3
Multiply by .
Step 3
Evaluate .
Tap for more steps...
Step 3.1
Replace the variable with in the expression.
Step 3.2
Simplify the result.
Tap for more steps...
Step 3.2.1
Simplify each term.
Tap for more steps...
Step 3.2.1.1
Raise to the power of .
Step 3.2.1.2
Multiply by .
Step 3.2.1.3
Multiply by .
Step 3.2.2
Simplify by adding and subtracting.
Tap for more steps...
Step 3.2.2.1
Subtract from .
Step 3.2.2.2
Add and .
Step 3.2.3
The final answer is .
Step 4
Use the and values to find where the minimum occurs.
Step 5