1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kvasek [131]
3 years ago
14

Quick Fix Inc. repairs bikes. The company’s revenue is modeled by the function R(h)=220h−160 for every h hours spent repairing b

ikes. The company’s overhead cost is modeled by the function C(h)=20h^2−400.
After how many hours does the company break even?
Mathematics
1 answer:
alisha [4.7K]3 years ago
6 0
The break-even point is when revenue, R(h) is the same as cost, C(h).
R(h)=C(h)
220h-160 = 20h²-400
Gather all the variables on one side by subtracting 220h:
220h-160-220h = 20h²-400-220h
-160=20h²-220h-400 (we can move these around so long as we take their respective signs with them)
We want our quadratic equation to equal 0 to solve it, so add 160 to both sides:
-160+160=20h²-220h-400+160
0=20h²-220h-240
All 3 terms of this quadratic are divisible by 20, we can factor 20 out:
0 = 20(h² - 11h - 12)
The quadratic that is left is easily factorable.  We want factors of -12 that sum to -11; that would give us -12*1, because -12+1 = -11.  Thus we have
0 = 20(h - 12)(h + 1)
Using the zero product property, we know that one of the factors must be 0 in order for the product to be 0.  20 ≠ 0, so it must be either h-12 or h+1:
h-12 = 0
Add 12 to both sides:
h - 12 + 12 = 0 + 12
h = 12

h+1 = 0
Subtract 1 from both sides:
h + 1 - 1 = 0 - 1
h = -1

Since a negative number of hours is not realistic, the answer must be h = 12 hours.
You might be interested in
Find both unit rates.
Alexus [3.1K]

$27 / 4 = 6.75 dollars per hour

4 / 24 = 0.148 = 0.15 hours per dollar

Answer is A


3 0
3 years ago
experts, geniuses, aces and moderators .. need help on the attached. will give brainliest!!! find the derivative of e^x
STatiana [176]
To find the derivative, you must use the chain rule.

If u=x^3+2x:
dy/dx=(dy/du)(du/dx)
dy/du=d/du(e^u)=e^u=e^(x^3 + 2x)
du/dx =d/dx (x^3+2x) = 3x^2 + 2

So dy/dx=
e^(x^3+2x) * (3x^2+ 2)
4 0
3 years ago
Me ayudan por favor con estos ejercicios de álgebra con la 15, 16 y 17
SashulF [63]
No soy muy buena con álgebra pero te recomiendo esta app que se llama “Symbolab” donde solo tienes que escanear la tarea y te da la respuesta.
7 0
3 years ago
Solve the equation or formula for the indicated variable.
alex41 [277]
Subtract 3 both sides first. R-3=ts²

next, divide both sides by t, (R-3)/t=s²

finally, take the square root of both sides

√(R-3)/t = s. 2nd choice.
3 0
3 years ago
Read 2 more answers
please I need help revising maths I struggle maths u don't know want to do or how I should revise it pls help me mathematicians
vfiekz [6]

Answer:

Solving mathematics isn't as difficult as we think.All you have to do is follow the steps and practice more questions

practice makes perfection

4 0
2 years ago
Other questions:
  • The second of two numbers is 5 more than twice the first. their sum is 80. find the numbers
    6·1 answer
  • What is the graph of the equation 4x – 5y = 15? A. B. C. D.
    14·1 answer
  • Another :(( plzzz :)<br> Divide, and then round the answer to two decimal places: 0.7991024 ÷ 0.119
    12·1 answer
  • Show Work and explain but quickly, please.
    10·1 answer
  • A pair of shoes cost $40 is marked up by 25%. What is the RETAIL PRICE?
    11·1 answer
  • Given the equation y=x^2+5x+6, what are the x intercepts
    5·2 answers
  • Can you help me with this math problem and tell me how to do it?
    15·1 answer
  • The value of zlatan's house has increased by 7%. His house is now valued at £749000 work out the value of the house before the i
    8·1 answer
  • HELP PLEASE ITS URGENT!!
    15·1 answer
  • How much money is pictured below?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!