Answer:
Step-by-step explanation:
Subtract 8u from both sides
Divide by -3 on both sides
Interval notation: [greater/less than or equal to], (greater or equal to)
[7,∞)
Just substitute - 2 into x and solve.
Mikes repair shop $100 service charge plus $65 per hour Amys auto repair $40 service charge plus $80 per hour write an equation for each repair shop to represent the total cost of a car repair as a function of the number of hours worked let C = total cost to you let h = number of hours worked. Suppose you need to get the dent in your car repaired you see the ads above in the newspaper your father who knows a bit about cars said it would take no more than 3 hours for the repair person to fix your car how do you determine where you should take your car to get it repaired
-Mike Cost:: M(3) = 100 +65*3 = $295
-Amy Cost:: A(3) = 40 + 80*3 = $280
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-Mike charges 100 dollars service charge plus 65 dollars per hour.
-Amy charges 40 dollars service charge plus 80 dollars per hour.
-The cost to repair from mike is 100 + 65 * x.
-The cost to repair from amy is 40 + 80 * x.
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Let x = 3 and you get:
The cost to repair from mike is 100 + 65 * 3 = 295 dollars.
The cost to repaid from amy is 40 + 80 * 3 = 280 dollars.
As long as the time to repair is 3 hours or less, the cost to repair will be cheaper from Amy.
Answer:
168 = L + 2W
And you want to maximize LW.
Which means you want to maximize W (168 - 2W), or 168W - 2W^2.
To maximize that, the derivative must go to zero.
0 = 168 - 4W, or W = 42. And L = 84. Done. :-)
Step-by-step explanation:
