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
stepan [7]
3 years ago
5

The given function models the number of cars that are put through a quality control test each hour at a car production factory.

Some cars are kept overnight at the quality control facility, while some cars arrive at different times of the day.
c(t)=-2^t+8t+20

For how many hours does the quality control facility operate each day?

The best form of the equation for finding the required information is_____ . The quality control facility operates for______ hours each day.
Mathematics
2 answers:
Annette [7]3 years ago
7 0

hours each day.

Step-by-step explanation:

The given function models the number of cars that are put through a quality control test each hour at a car production factory.

The given function is

We need to find the number of hours does the quality control facility operate each day.

Rewrite the given function it factored form.

Taking out the common factors from each parenthesis.

The factored form of given function is c(t)=-(t-10)(t+2).

Equate the function equal to 0 to find the x-intercept.

Number of hours cannot be negative. So from t=0 to t=10 quality control facility operate the cars.

Therefore the quality control facility operates for 10 hours each day.

Thepotemich [5.8K]3 years ago
7 0

Answer:

The best form of the equation for finding the required information is <em>factored form</em>. The quality control facility operates for 10 hours each day.

Explanation:

\displaystyle [-t^2 - 2t] + [10t + 20] \\ -t[t + 2] \: \: \: 10[t + 2] \\ \\  -[t - 10][t + 2]

Time is ALWAYS POSITIVE, so we ONLY want the NON-NEGATIVE root.

I am joyous to assist you anytime.

You might be interested in
Rewrite 50 - 15 using the distributive property and a common factor
Vesna [10]
It is not too difficult. Just do this
50-15
5(10-3)
The answer is 5(10-3)
4 0
3 years ago
Read 2 more answers
Simplify, following the order of operations: 5 102 – 3 × (12 – 8)
JulijaS [17]

5 + 10^2 - 3 ( 12 - 8 ) = 93 12 - 8 = 4 then do 3 x 4 which = 12 and then add 5 to 10^2 which = 105 105 - 12 = 93

5 0
2 years ago
Read 2 more answers
Express the following as a pecentage:16 out of 40
Irina-Kira [14]

the answer is 40 percent

6 0
3 years ago
The explicit rule for a sequence is
pishuonlain [190]
For an explicit formula in its simplified form, we must evaluate the first two terms.

For a_n=48-11n, a_1=48-11=37, and a_2=48-22=26. We see that the common difference is 37-26=-11, and a_1=37, so we write,
a_1=37, \ \ \ a_n=a(n-1)-11. 

The correct answer is B.


3 0
2 years ago
Read 2 more answers
If f(5x) = f(5) + f(x), prove that f(5) = 0.​
Agata [3.3K]
Yeah that’s right 5(0)
7 0
3 years ago
Read 2 more answers
Other questions:
  • John and Mary Billings own a condominium with an assessed value of $110,000. If the tax rate is 25 mills per $1.00 of assessed v
    14·2 answers
  • What is the graph of f(x)= 2x^2
    14·1 answer
  • The length of a rectangular computer chip is 22 x 10 cm and the width is 7 x 104 cm. Explain how to
    6·1 answer
  • Find x<br><br> Help me please
    15·1 answer
  • 00:00
    7·2 answers
  • Estimate 61.68 - 48.225 by first rounding each number to the nearest whole number.
    8·2 answers
  • A linear function is written:<br> f(x) = 3/2x-4<br> What is the value of f(5)?
    5·1 answer
  • What’s the answer I need it ASAP
    9·1 answer
  • Serika has hired Tom to build her a dollhouse. The dollhouse will be a scale model of her home, and the scale will be 2 inches :
    9·1 answer
  • What is 1/4 to the power of 3
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!