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
shusha [124]
3 years ago
10

Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms. Second-degree, with zeros of −

7 and 6, and goes to −∞ as x→−∞.
Mathematics
1 answer:
Flura [38]3 years ago
3 0

Answer:

Step-by-step explanation:

Hello, because of the end behaviour it means that the leading coefficient is negative so we can construct such polynomial function as below.

\large \boxed{\sf \bf  \ \  -(x+7)(x-6) \ \ }

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

You might be interested in
A tank contains 60 lb of salt dissolved in 400 gallons of water. A brine solution is pumped into the tank at a rate of 4 gal/min
Natali5045456 [20]

The complete question is;

A tank contains 60 lb of salt dissolved in 400 gallons of water. A brine solution is pumped into the tank at a rate of 4 gal/min; it mixes with the solution there, and then the mixture is pumped out at a rate of 4 gal/min. Determine the amount of salt in the tank at any time

t, if the concentration in the inflow is variable and given by

c(t) = 2 + sin(t/4) lb/gal.

Answer:

dA/dt = (8 + 4sin(t/4)) - (A_t/100)

Step-by-step explanation:

Rate is given as;

dA/dt = R_in - R_out

R_in = (concentration of salt inflow) x (input rate of brine)

So, R_in = (2 + sin(t/4)) x 4 = (8 + 4sin(t/4))

The solution is being pumped out at the same rate, thus it is accumulating at the same rate.

After t minutes, there will be 400 + (0 x t) gallons left = 400 gallons left

Thus,

R_out =(concentration of salt outflow) x (output rate of brine)

R_out = (A_t/400) x 4 = A_t/100

Thus,

A_t = (100/t)(8t - 16cos(t/4) - 60)

Since we want to find the amount of salt, A(t), let's integrate;

Thus, A = 8t - 16cos(t/4) - (A_t/100)t

A = 60 from the question. Thus,

60 = 8t - 16cos(t/4) - (A_t/100)t

Let's try to make A_t the subject;

(A_t/100)t = 8t - 16cos(t/4) - 60

A_t = (100/t)(8t - 16cos(t/4) - 60)

3 0
3 years ago
Do you know if not don't answer What is 3x+1/5y=7
Mrac [35]
You will have to use trial and error in order to find the values for x and y.
Just keep plugging values until you get 7.

I found x is equal to 2 and y is equal to 5.

3(2) + (1/5)5 = 7
6 + 5/5 = 7
6 + 1 = 7
7 = 7
3 0
3 years ago
In Miami, the number of highway accidents increased by 20% over a four year period. How many accidents were there in 2013 if the
dalvyx [7]
5120*.2=1024
5120+1024=6144
5 0
3 years ago
Read 2 more answers
!!!WILL GIVE BRANLIEST ASAP!!!
posledela

Answer:

Domain: (-3,-3,0,4)

Range: (-5,0,1,7)

Function: No

Step-by-step explanation:

Because there is a repeating -3 in the domain.

Brainliest please!

6 0
3 years ago
Write the first 5 terms of the recursive sequence defined below. a1=0 an=2(an-1)²-1, for n>1​
Aleksandr-060686 [28]

Answer:

  • 0, -1, 1, 1, 1

Step-by-step explanation:

<u>Given recursive formula</u>

  • a₁ = 0
  • aₙ = 2(aₙ₋₁)² - 1, for n>1​

<u>The first 5 terms are:</u>

  • a₁ = 0
  • a₂ = 2(0)² - 1 = 0 - 1 = -1
  • a₃ = 2(-1)² - 1 = 2 - 1 = 1
  • a₄ = 2(1)² - 1 = 2 - 1 = 1
  • a₅ = 2(1)² - 1 = 2 - 1 = 1
7 0
3 years ago
Other questions:
  • What is the measure of ∠ABC ?
    5·2 answers
  • Pls help! i’m not sure if the answer i chose is the right 1.
    12·1 answer
  • What is the solution of the equation 6x - 3 = -51?
    12·2 answers
  • 8(3/16)+2(6 1/4)-13/16<br> How to solve
    6·1 answer
  • X- (5-3x)&lt;=2x-1 solve
    7·1 answer
  • Can someone please define the following terms and give me an example of each??
    13·1 answer
  • In 2017, the population of a village was 7500. In 2019, the population of the village was 8265. Work out the percentage increase
    14·1 answer
  • Fill in the table below and sketch a graph<br> f(x)=4•(1/2)ˣ
    10·2 answers
  • EXPRESS EACH OF THE FOLLOWING PERCENTAGES AS A DECIMAL:
    8·1 answer
  • Which of the following choices is equivalent to the equation?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!