Volume = are base*height
32 = x^2*h --> h = 32/x^2
surface area = 4x(32/x^2) + x^2
SA = 128/x + x^2
SA' = -128/x^2 + 2x = 0
2x = 128/x^2
2x^3 = 128
x^3 = 64
x = 4
surface area minimized when length of base is 4 in.
hope this help
The cheaper car service would be the second option, $10 upfront + $.05 per mile.
$4+$.70(12 miles)= $12.40
$10=$.05(12 miles)= $10.60
Hope this helps you! :D
Answer: 7.44285714 to be exact but its is around 7.44
Step-by-step explanation:
Answer:
B.
Step-by-step explanation:
Step 1: Cross-multiply
x² + 2x = 4x²
Step 2: Isolate <em>x</em>'s
2x = 3x²
0 = 3x² - 2x
Step 3: Factor
x(3x - 2) = 0
Step 4: Find roots
x = 0, x = 2/3
Step 5: Double check answers.
When you do so, you should see that only x = 0 works. And we have our answer!
Answer:
Table F
Step-by-step explanation:
The equation is C = 0.75t. The variable c is for cost and t is for tickets. When we use substitution to solve the equation, we see that table F correctly represents the situation. In simpler terms, the equation is asking us to mutliply the cost PER ticket by the number of tickets.
0.75 * 1 = 0.75
0.75 * 2 = 1.50
0.75 * 3 = 2.25
0.75 * 4 = 3
And so on. As we can see, the only table that shows these values is in fact table F.
Hope this helps!
