Mathematics College

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

#2 pls I’ll give braniest to whoever replies first, I’m not sure about number 2 pls help.

Answers

Answer:

D) 525

Step-by-step explanation:

hope this helped!!

Answer:

D, ($525)

Step-by-step explanation:

The cost for 1 adult is $75, and you are trying to solve for 7 adults.  So basically, all you need to do is 75x7.  The answer is D.  

camille has save php 3,150.00 in the past three month.if the bike cost Php9,000.00,what percent of the cost of the bike has he saved??​

Answers

Answer:

the percent of her saving to the price of the bike is 35%

Please help my head hurts
Background assumptions concerning Texas license plates:
• License plates have 7 characters __ __ __ __ - __ __ __
• The first 4 characters have to be letters
• The last 3 characters have to be numbers
• The last number cannot be a 9 or 1
• The first and second letter cannot be a vowel (multiple correct answers)

Answers

Answer:

jhtr638

Step-by-step explanation:

jhtr638

chose 4 random letters

then chose 3 random numbers

made sure no vowels or 9 and 1

Which is a better deal on a $10 item:

50% off or 10% off and then another 40% off? Explain your answer.

Answers

50% off. You only have to pay $5. If you do 10% off one time you have to pay $9 and then the next time you get 40% off, you’d have to pay $6.

Unless I completely misunderstood, 50% should be better. If it’s 40% off + 10% then it will be 50% and therefore both of them are equal deals and both good.

Which of these numbers is equivalent to n n in this equation?

10 1/6 − n = 4 5/12

A: 6 4/6
B: 5 4/6
C: 5 3/4
D 5 1/12

Answers

Answer:

The answer is C

Step-by-step explanation:

5 3/4 + 4 5/12 is 10 1/6

Your answer will be C. 5 3/4

Solve 5x + 2 = 22 please help​

Answers

Answer:

x=4

Step-by-step explanation:

5x+ 2 = 22

    -2      -2

5x= 20

divide by 5 on both sides

x=4

Logan is starting a running plan to train for a race. In the first week of his running plan, Logan will run 10 miles. The plan calls for Logan to increase his weekly milage by 4 miles every week. If Logan sticks to the plan, how many miles would he be expected to run during his 7th week of the training plan?

Answers

Answer:

Step-by-step explanation:

34 miles by the 7th week.

You just add 4 more each week.

At your child's birth, you begin contributing monthly to a college fund. The fund pays an APR of 4.1% compounded monthly. You figure your child will need $40,000 at age 18 to begin college. What monthly deposit is required? (Round your answer to the nearest cent.)

Answers

Answer:

$185.19

Step-by-step explanation:

(transformasi laplace) tentukan L { f ( t ) } apabila f(t) masing masing fungsi berikut. f(t)= 5t^3 - 6sin2t + 4e^-4t​

Answers

Answer:..................................................................

find the sum of 9a^2/a and 7a^2/a

Answers

Answer:

16a

Step-by-step explanation:

9a^2/a=9a

7a^2/a=7a

9a+7a=16a

Work out the size of angle
X.
X Х
33°
20°
165°

Answers

Answer:

142 degrees

Step-by-step explanation:

The sum of angle in a quadrilateral is 360 degrees

33 + 20 + 165 + X =360

53 + 165 + X = 360

218 + X = 360

X = 360 - 218

X = 142

Hence the size of angle X is 142 degrees

How do I use the definite integral to find the area between x-axis and f(x) over the indicated interval

Answers

Answer:

(A). 2

Step-by-step explanation:

FYI :

[tex]\int\limits^4_1 {x^{-\frac{1}{2} } } \, dx[/tex] = 2√x (from 1 to 4) = 2√4 - 2√1 = 2

Evaluate 7 + x(-3)
When x = -6

Answers

Answer: 25

Step-by-step explanation:

7 + -6(-3)

7 + 18 = 25

Answer:

25

Step-by-step explanation:

x= -6

7+ -6(-3)=

7+ (18)=25

25

evaluate d+5-f if d +16 and f-18

Answers

Answer:

39

Step-by-step explanation:

d+5-f

Plug in the values of d and f

(16)+5-(-18)

Then simplify (Don't forget that since theres a double negative, that changes to a positive.)

21+18

39

The ratio of boys to girls at a movie is 5:4 . If there are 16 girls ​, how many boys are at the​ movie?

Answers

Answer:

,it's 15. and here's why: if i pick 4,its makes 12 because 3x4=12 and if you put 3 with 5,you get 15 which is the answer.

Step-by-step explanation:

It is 20. How do you get from 4 to 16? You multiply by 4! Thus, times 5 by 4 to get the answer, whilst keeping the ratio.

Angie has already written 19 pages, and she expects to write 1 page for every additional
hour spent writing. How many hours will Angie have to spend writing this week in order to
have written a total of 28 pages?

Answers

Answer:

[tex]9[/tex]

Step-by-step explanation:

[tex]28 - 19 = 9[/tex]

Answer:
9 hours

Explanation:
What we know:
- Angie has already written 19 pages
- Angies writes 1 page per hour

First, we can create the following equation to model this scenario:

Let x be equal to the number of hours that pass.
Total number of pages=1x+19

Now, because Angie wants to write 28 pages in total, we can plug that into the left side of the equation and solve for x, the number of hours.

28=1x+19
Subtract both sides by 19
28-19=1x+19-19
9=1x
x=9

Therefore, Angie would have to spend 9 hours to write a total of 28 pages.

I hope this helps!

Find the midpoint of segment AB if A(-3, 8) and B (-7, -6).

Answers

Answer: (-5,1)

Step-by-step explanation: that should be right

Find the mean of the data 18,36,24,36,30,36

Answers

Answer:

30

Step-by-step explanation:

To calculate the mean, add up all the numbers in the data and divide the sum by the number of numbers in the data.

(18+36+24+36+30+36)/6 = 30.

Answer:

30

Step-by-step explanation:

To find mean, add up all the numbers, then divide by how many numbers there are:

18 + 36 + 24 + 36 + 30 + 36/6

180/6 = 30

Hope this helps :)

Luis and Erin are playing a game. They each start with 0 points.At the end of the game, Luis has 250 points, and Erin has
-250 points.


(A) Erin has lost 250 points.

(B) Luis has 250 more points than Erin.

(C) Erin and Luis have a total of 500 points.

(D) Erin and Luis have an equal number of points.

Answers

Answer:

A) Erin has lost 250 points.

Step-by-step explanation:

The reason A is correct is because Erin has -250 points, which means he went down or lost them.

Help please I don’t k ow what to do

Answers

Answer:

dino

Step-by-step explanation:

yup

hgarage hhhhhjjjhjjjjjjhhhhhhh​

Answers

felt

kajskskwowwjsksj

it is a kid ok there bye bye

Find sin (E) given the triangle.
Someone pls help me wit this I’m so confused

Answers

Answer: 75.75°

Step-by-step explanation:

Sine is the opposite of the angle divided by the hypotenuse. The opposite side of the angle is 12.6 and the hypotenuse is 13.

sin(Ф) = 12.6/13

Take the inverse sine of both sides, this requires a calculator.

Ф = 75.75°

What quadrilaterals diagonals are congruent but neither of them is bisected by the other.

Answers

Answer:

rectangle are congruent because opposite sides of rectangle are equal. We also know that diagonals of rectangle bisect each other

What is the value of the expression below when x equals 4?

13 + 15x

Answers

Answer:

73

Step-by-step explanation:

Answer:

73

Step-by-step explanation:

13+15*4

13+60

73

Please help
Will give brainlst

Answers

One molecule of glucose contains 6 atoms, so the answer is A. 6
A should be correct

Amy and three of her friends went to lunch. The total bill was $54.00. If they wanted to leave a 20% tip how
much more is added tot he bill?
If the girls split the bill evenly, how much does Amy pay?

Answers

Answer:

$16.20

Step-by-step explanation:

Bill: $54.00

Tip: 20%

People: 4

To figure out 10% of the bill, you need to move the decimal point over to the left one place: $5.40

10%: $5.40

5.40 times 2 = $10.80

54.00 + 10.80 = 64.80

Grand Total= $64.80

Since there are 4 people, we need to divide by 4:

64.80 divided by 4 = $16.20

Please Answer 1 and 2. Giving a lot of points!​

Answers

Answer:

I hope I can help

Step-by-step explanation:

welcome po

This recipe makes 18 shortbread fingers.
Rose follows this recipe, but only wants to make 3 fingers.
How much of each ingredient does she need?

Recipe: Makes 18
120 g butter
60 g sugar
180 g flour

Answers

(I don't know if this is the method you are supposed to use, but I believe you will still get the same answer!)

Answer: 20 g butter, 10 g sugar, 30 g flour

Step-by-step explanation: First off, if we look at 3 and 18, you notice that three is a factor or 18, going into the number 6 times.

So, if you are making 6 times less of the original amount, divide each measurement by six to give you your answer.

120/6 = 20

60/6 = 10

180/6 = 30

20g butter
10g sugar
30g flour

Find the measure of the arc or central angle indicated. Assume that lines which appear to be
diameters are actual diameters.

Answers

D it is d I’m pretty sureeeee

1/2 (16x + 20)
Need help

Answers

Answer: let's say x = 1

16 x 1 =16

16+20=36

36x1/2=18

Step-by-step explanation:

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