10. Write a polynomial in factored form with a single root at 0 and a double


root at 3 that decreases as x approaches infinity.

Answers

Answer 1

Answer:

One possible polynomial is given by: [tex]f(x) = -x(x-3)^2[/tex]

Step-by-step explanation:

Zeros of a function:

Given a polynomial f(x), this polynomial has roots [tex]x_{1}, x_{2}, x_{n}[/tex] such that it can be written as: [tex]a(x - x_{1})*(x - x_{2})*...*(x-x_n)[/tex], in which a is the leading coefficient.

Single root at 0, double root at 3:

This means that:

[tex]f(x) = a(x - 0)(x - 3)(x - 3) = ax(x-3)^2[/tex]

Decreases as x approaches infinity.

This means that the leading coefficient should be negative. I am going to use -1. So

[tex]f(x) = -x(x-3)^2[/tex]


Related Questions

What is 4 + 200039393939

Answers

Answer:

200039393943

Step-by-step explanation:

Use a calculator (;

what is the relationship between a magnets magnetic force and magnetic field?​

Answers

Answer: They both use a magnetic pull?

Step-by-step explanation:

Micah jogged 8/10 of a mile. Sarah jogged 3 times this distance. How far did Sarah jog? Explain

Answers

Answer:

2.4 miles or 12/5 miles

Step-by-step explanation:

well if we take the amount Micah jogged (8/10 miles) and we multiply that by 3 in order to get Sarah's distance

it leaves us with

24/10 and that simplified will be

12/5 miles

in decimals that would be

2.4 miles

An account earns annual simple interest. Find the balance of the account.
$5,000 at 6% for 9 months.

Answers

Answer:

$7700

Step-by-step explanation:

As the account earns 6% interest, if we find 6% of $5000 we get $300, the interest is simple and given every month, meaning you get $2700 in interest as $300 x 9 months = $2700

$5000 initial + $2700 interest = $7700

EDIT:

It could be that the interest is 6% yearly, which means that yearly you get 6% interest, and the answer is $5225.

6% interest is $300 per year

$300÷12= $25 per month

$25 x 9 months = $225

$5000 initial plus $225 interest = $5225 total

A horse has a water barrel in which 3/10 of a gallon is drank out of it every day. How many days will it take the horse to drink 42 gallons of water?

Answers

Answer:

140 days

Step-by-step explanation:

140 days


Explanation:

3/10 x 42 would be 40 then times it by 100 to get 140, hope this helps :)

2 1/8x+3/4x+1/6-7/12x+5 2/3

Answers

55
—— x + 35/6
24

this is the final answer

Answer:

5/24(11x+28)

Step-by-step explanation:

Need help will give brainliest ​

Answers

Answer:

14.6 6 is the likely frequency and 14 is the days if the forcast

2 is 14.2

Step-by-step explanation:

help me with this please it's important pleaseeeeeeeeeeeeeeeeee frindes

Answers

Answer:

27-64

Step-by-step explanation:

cheating in tests are bad, searching for answers in tests is also bad

but the range is 27-64

If you averaged 400 miles per day, about how many days would a trip of 1990 miles take?

Answers

Answer:

4 days

Step-by-step explanation:

you would divide 1990 by 400 to get the answer.

$$ \sqrt{6\frac{1}{4}} $$

Answers

Chu gf fr uvv V dhh gg jb cub

500 is what percent of 125?​

Answers

400% is because 125 divided by 500 is 400

Answer:

400

Step-by-step explanation:

Solution for 500 is what percent of 125:

500:125*100 =  

(500*100):125 =  

50000:125 = 400  

Now we have: 500 is what percent of 125 = 400  

Question: 500 is what percent of 125?  

Percentage solution with steps:  

Step 1: We make the assumption that 125 is 100% since it is our output value.  

Step 2: We next represent the value we seek with [tex]x%[/tex].  

Step 3: From step 1, it follows that $100%=125$.

Step 4: In the same vein, $x%=500$.

Step 5: This gives us a pair of simple equations:

100%=125(1)

x%=500(2)

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left-hand side) of both equations have the same unit (%); we have

[tex]\frac{100\%}{x\%}=\frac{125}{500}[/tex]

Step 7: Taking the inverse (or reciprocal) of both sides yields

[tex]\frac{x\%}{100\%}=\frac{500}{125}[/tex]

[tex]\Rightarrow x=400\%[/tex]

Therefore, 500 is 400% of 125

Hope this answer helps and answers your question! Have a great day/night!

What is the present value of an investment that will be worth $6000 at the end of five years? Assume an APR of 6% compounded monthly. (Round your answers to the nearest cent.)

Answers

Answer:

4448.23

Step-by-step explanation:

[tex]AV=PV(1+\frac{i}{n})^{nt}\\\\6000=PV(1+\frac{.06}{12})^{5*12}\\\\6000=PV*1.3488\\\\PV= 4448.23[/tex]

The present value of an investment that will be worth $6000 at the end of five years is, $4448.23

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Annual value = $6,000

Time = 5 years

Rate = 6%

Hence, We get;

A = P (1 + r/n)ⁿˣ

Substitute all the values, we get;

⇒ 6000 = P (1 + 0.6/12)⁶⁰

⇒ 6000 = P × 1.3488

⇒ P = $4448.23

Thus, The present value of an investment that will be worth $6000 at the end of five years is, $4448.23

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ3

Kristin has 3 2/3 yards of plaid ribbon. She has 2 5/6 yards of polka-dot ribbon.

How many yards does she have total?

Answers

Answer:

7 1/2

Step-by-step explanation:

i belive so my brain hurts so much but i can pull through

suppose you have 8 pairs of pants, 8 shirts and 7 pairs of shoes how many different outfits can you wear assuming you take one of each?

Answers

Answer:

Step-by-step explanation:

8(8)7=448 different outfit combinations

ASAP BE||CD. Find the value of x and AC.
I don’t understand

Answers

Im not 100% if this is right but maybe it is. Im not sure.

I need help plz due in 20 min

Answers

Answer:

No, because 2(3x-5)=6x-10, and 6x-10 is not equal to 6x-8

Step-by-step explanation:

In a population of 2000 students, 230 are left-handed. A random sample of size
50 is selected and the number of left-handed students is recorded. If we
collected many more samples, which of the following could describe the
sampling distribution?

Answers

11.5% is the correct answer

Suppose there is an excess demand for cell phones. In a market without price controls market pressures will cause the price of cell phones to ____ until it reaches the equilibrium price

Answers

Answer:

Step-by-step explanation:

rise/increase/grow

Answer:

Step-by-step explanation:

The key word is increase.

People who don't have a cell phone will bid the price up until some of the people wanting a cell drop out of the bidding. Then only those willing to pay a higher price will be left to buy the cell at a much higher price than was initially thought to be the right price.

Phew. Try reading that sentence a couple of times. It's right, but there should be an easier way to say it.

PLS HELP Does the following table of values represent an exponential function?

Answers

Yeah it does. :)) hope this answered ur question.

What is the solution of the system of equations shown on the graph?
176
12
O (5, -1)
o (-4,-3)
O (3,-4)
o (-4,3)

Answers

Answer: 3, -4

Step-by-step explanation: gust look harder

Eight bricks are laid end to end along the edge of a flower bed. Each brick is inches long. How long is the row of bricks, in inches?

Answers

Eight bricks are laid end to end along the edge of a flower bed.

Each brick is 11/2 inches long. How long is the row of bricks, in inches?

11/2 inches

A average row of bricks is 7-1/2 inches

11/2  x 7-1/2 = 38

38 inches

Answer:

1.5 times 8 equals 12. The row of bricks is 12 inches long

What is 9/10 x 12/6=

Answers

Answer:

1.8

hope this is right

Carlos and Lily want to know the combined amount of money they made last week.
They both made $12 per hour, but Carlos also made a $35 bonus. Carlos says the
combined amount is 12C + 35 + 121, where is the number of hours he worked,
and L is the number of hours Lily worked. Lily says the combined amount is
12(C + L) + 35. Who is right? Explain.

Answers

Answer:

Lily: 12(C + L) + 35

Step-by-step explanation:

Variables:  C (Carlos) and L (Lily)

They both get: $12 for the hours they worked

We do not know how long they worked

We do know Carlos got an extra $35.

What does it mean?

12(C + L)+35

12 times the profit of Carlos and Lily. Plus the bonus of Carlos

convert 3.9/4 into decimals​

Answers

Answer:

.975

Step-by-step explanation:

What is the equation for the line of reflection?
ФУ
4
B
B
A
A'
2
D
с
C
D'
Х
2
6
8
10
27

Answers

Answer:

what

Step-by-step explanation:

A={0 ; 4 ; 1 supra 3 ; -5 ; 0,(4) ; -2 ; 8 supra 4}
a) A ( U intors ) N ( multimea numerelor naturale )
b) A ( U intors ) Z
c) A / Z
Am nevoie urgent!

Answers

A? I don’t understand

If you were to deposit $1,000 into an account that paid 10 percent interest compounded semiannually, how much money would you have in the account one year from now?

Answers

Semiannual means there will be two total periods in a year. Divide ten percent by two to get the interest rate per period. Then multiple by 1+i twice


A sum of money was divided bety
Mary and Dónal. Mary got of 5/8
he money and Dónal got the res
Dónal got €2:40, how much did Mary get​

Answers

Answer:

4.00

Step-by-step explanation:

each one of the eights is 80 cents. the way to figure it out was to just divide it by 3 or in a different place however many fractions you have/need.

P + 1/4 (is greater than or equal to) 2

Answers

Answer:

P + 1/4 (is greater than or equal to) 2

p<or =2-1/4=7/4

A football player completes a pass 67.9% of the time.Find the probability that the first pass he completes is the second pass.

Answers

Answer:

0.2587 = 25.87% probability that the first pass he completes is the second pass.

Step-by-step explanation:

Probability that the first pass he completes is the second pass.

Misses the first, with a 100 - 67.9 = 38.1% = 0.381 probability.

Completes the second, with 0.679 probability. So

0.381*0.679 = 0.2587

0.2587 = 25.87% probability that the first pass he completes is the second pass.

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