Which polynomial function has a leading coefficient of 2, root-5 with multiplicity 3, and root 12 with multiplicity 1?
Of(x) = 2(x - 5)(x - 5)(x - 5)(x + 12)
Of(x) = 2(x + 5)(x + 5)(x + 5)(x - 12)
O f(x) = 3(x - 5)(x - 5)(x + 12)
Of(x) = 3(x + 5)(x + 5)(x - 12)

Answers

Answer 1

Answer:

Of(x) = 2(x + 5)(x + 5)(x + 5)(x - 12) or Choice 2

Step-by-step explanation:

The last two answers get eliminated because their leading coefficients aren't 2. The first option is wrong because if you plug in -5 and +12 into x the function won't equal 0. So the correct answer is the Second answer: Of(x) = 2(x + 5)(x + 5)(x + 5)(x - 12)

Answer 2

Answer:

The polynomial function that has a leading coefficient of 2, a root of 5 with a multiplicity of 3, and a root of 12 with a multiplicity of 1 is choice 2.

Step-by-step explanation:

A leading coefficient of 2 means that the number multiplying all the binomial would be 2, so you know it is not choices 3 and 4. A root of -5 with a multiplicity of 3 means that when you replace x with -5, three binomials will result in 0, which helps eliminate the first choice. A root of 12 with a multiplicity of 1 means that when you replace x with 12, you will have a binomial that results in 0. Using all of this information, you'll get that the polynomial that has a leading coefficient of 2, a root of -5 with a multiplicity of 3, and a root of 12 with a multiplicity of 1 is [tex]f(x)=2(x+5)(x+5)(x+5)(x-12)[/tex].


Related Questions

If 2x + 5 = 82, then 12x = ?
A 5
B
10
C 15
D 20

Answers

Answer:

2x= 38.5

Step-by-step explanation:

I'm not sure where u got 12x but 2 x = 38.5:

2x + 5 =82

subtract 5 for 82

2x = 77

77 divided by 2 is 38.5

x = 38.5

hope this helps :)

A dilation has center at the origin. Which of the following is the image of the point P(1.- for a scale
factor of
A
D: (P) = P(x3)
B
D}(P) = P',
C
D:(P) = P1C-
D
D}(P) = PG-)

Answers

Answer:

C. [tex]D_\frac{1}{7} (P)=P'(\frac{1}{4},-\frac{5}{14} )[/tex]

Step-by-step explanation:

[tex]\frac{7}{4}*\frac{1}{7}=\frac{7}{28} =\frac{1}{4}[/tex]

[tex]-\frac{5}{2} *\frac{1}{7} =-\frac{5}{14}[/tex]

The volume of a box(V) varies directly with its length(l). If one of the boxes has a volume of 325 cubic inches and a length of 13 inches, what is the constant of proportionality for the group of boxes?

1/25
4,225
25

Answers

Answer:

k = 25

Step-by-step explanation:

Given the following data;

Volume = 325 in³

Length = 13 inches

To find the constant of proportionality, k;

Mathematically, direct proportion is given by the expression;

V = kL

k = V/L

Substituting into the formula, we have;

k = 325/13

k = 25

3. Shyann is flipping a quarter and flips 8 tails in a row. Should the next flip most likely be a
heads to balance it out? Explain your reasoning.

Answers

There is an equal 50% chance of heads or tails regardless of a which happened to occur the most consistently.

7k-6,2k+14 solve for K

Answers

Answer:

0.8k +14

Step-by-step explanation:

See the steps below:)

Which binomial is a factor of 3x^2 + 2x − 5 ?
3x-1
3x-5
x-1
x-5

Answers

Answer:

3x-1

Step-by-step explanation:

3x^2+2x-5=3x-1 x1-25

can someone please help I will do anything

Answers

Answer:

678.24 cubic centimeters

Step-by-step explanation:

Help pls

Is either x = 7 or x = 9 a solution to 23 >19?
A. Neither is a solution.
B. They are both solutions.
C. x = 7 is a solution, but x = 9 is not.
D. x = 9 is a solution, but x = 7 is not

Answers

Answer:

b they are both solution

I think it’s B hope that helped

what is the answer to this?

Answers

Answer:

This is the answer:

330550=

the spinner shown below has 12 congruent sections. the spinner spun 150 times. what is a reasonable prediction for the number of items the spinner will land on an even number. (pls help asap!!)

Answers

Answer:45

Step-by-step explanation:

There are 3 even numbers out of A total of 8 numbers.

Each spin would have a 3/8 chance of landing in an even number.

Multiply the chance of landing on even by number of spins:

120 x 3/8 = 360/8 = 45

The answer would be 45 times.

What is the magnitude of -3 +4i?

Answers

Answer:

we have

-3+4i

let magnitude be |z|

|z|=[tex] \sqrt{( - 3) {}^{2} + 4 {}^{2} } [/tex]

|z|=5 unit

Answer:

The magnitude of -3 +4i is 5

Step-by-step explanation:

Dolve for theta. С 13 4 o o A B Your answer​

Answers

Answer:

θ ≈ 17.1°

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan θ = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{4}{13}[/tex] , then

θ = [tex]tan^{-1}[/tex] ([tex]\frac{4}{13}[/tex] ) ≈ 17.1° ( to the nearest tenth )

Mrs. Wigen conducted a survey in her math class. She asked each of her students to tell her how many pets they have at home. The dot plot below represents the results of Mrs. Wigen's math class survey. 12-----3 4:25 Number of pets at home Find the Measures of Center for the data: Mean Round to the nearest tenths place Median Mode ​

Answers

Answer:

4 : 25 to round off we have to see that

4 : 25 to round off we have to see that If in ones place it is more than 5 or not

4 : 25 to round off we have to see that If in ones place it is more than 5 or not if yes we will add to 1 no to tenths place

4 : 25 to round off we have to see that If in ones place it is more than 5 or not if yes we will add to 1 no to tenths place Finally 4 : 25 it has 5 in its ones place

So the answer will be 4 : 30

Can somebody please help in this question?

Answers

First find the area of one side.

The area of the side of a cube is s^2 where s is the length if one edge.

The edge length is given as 2/3, so the area of a side is 2/3^2 which is equal to 2/3 x 2/3 = 4/9 square units.

A cube has 6 sides so now to find the surface area of the cube multiply the area of one side by 6 sides:

4/9 square units x 6 = (4 x6)/9 = 24/9 which can be rewritten as 2 2/3 square units

The answer is 2 2/3 units^2

Pls help me ASAP no scamming:-)

Answers

Hi this was a different question from normal but okay.

Answer:

There has been an high speed chase that lead to an injury of a young girl. Isaac midway had fled the seen at North West 22nd, around 2:56 pm. With the girl laying in the street with a broken leg and fractured ankle. Have any evidence call crime stoppers.

Step-by-step explanation:

This provides criminal, time and location and injury. Good luck.

One Night, The Criminal Mastermind, Arnold "Laughing" Jack Escapes From The Facility In New Orleans, And Proceeds To Murder 70 People, The Most Famous Spot Was His Murder Hotel Where He Mutilated 5 People In The Kitchen. The Injuries On The Bodies Were Similar To What Forensics Is The Equivalent Of, How Being Struck With A Curved Sword Would Be.

18. If an apprentice can do a piece of work in 24 days, and the apprentice and
instructor together can do it in 6 days, how long would it take the instructor to do
the work alone?
18. If an apprentice can do a piece of work in 24 days, and the apprentice and
instructor together can do it in 6 days, how long would it take the instructor to do
the work alone?

Answers

Answer:

the number of days when instructor do the work alone is 8 days

Step-by-step explanation:

Given that

The apprentice can do the work in 24 days

And, the apprentice and  instructor together can do it in 6 days

We need to find out the number of days when instructor do the work alone

So,

[tex]= \frac{1}{6} - \frac{1}{24} \\\\= \frac{4 - 1}{24} \\\\= \frac{3}{24} \\\\= \frac{1}{8} \\\\= 8[/tex]

hence, the number of days when instructor do the work alone is 8 days

A rectangular room is 11 feet by 14 feet. The ceilings are 9 feet high. If a gallon of paint covers 250 square feet. How many gallons of paint are needed to paint the room?

Answers

Answer:

3 gallons or 3.032

Step-by-step explanation:

find the total surface area (758)

divide by 250 or subtract 250 till it is under that number

The fish population is decreasing at a rate of 3% per year. In 2002 there were about 1600 fish. Find the fish population in 2010. Round to the nearest whole number

Answers

Answer:

Population of fish in

During one month, there were 2,000 people who used the advertiser links on a website. The percent of people who clicked on each
advertisement link is shown in the circle graph. Calculate the number of people who clicked on the link for each type of advertisement. How
many people used the Music link?
Advertiser Links
Computers
2396
Music
25%
TVS
3%
Movies
1796
Cell phones
32%
340
450
500
540

Answers

Answer:

500

Step-by-step explanation:

During one month, there were 2,000 people who used the advertiser links on a website. The percent of people who clicked on each

advertisement link is shown in the circle graph. Calculate the number of people who clicked on the link for each type of advertisement. How

many people used the Music link?

Advertiser Links

Computers

2396

Music

25%

TVS

3%

Movies

1796

Cell phones

32%

340

450

500

540

Then You Turn The Music Percent Into A Decimal Which Is .25% Then Times That By 2000 And You Get .25 X 2000 = 500

You pick a card at random, put it back, and then pick another card at random. 3 4 5 6 What is the probability of picking a 5 and then picking a 3?

Answers

Answer:

1/16

Explanation:

You have a 1/4 chance both times but in probability you multiply when in a sequence of events. 1/4*1/4= 1/16

What is 787,452 rounded to the nearest ten thousand?

Answers

Answer:

790000

Step-by-step explanation:

Answer:

790,000

Step-by-step explanation:

What is the volume of the rectangular prism?

Answers

the answer would be 22.5

Are the fractions 2/8 and 1/4 equivalent ? True or False?

Answers

Answer:

True

Step-by-step explanation:

Equivalent fractions are fractions with different numbers representing the same part of a whole.

true
if you simplify 2/8 it equals 1/4

1 gold plate weight 30 mg if the weight of some plates is 450 ml mg find the number of plates​

Answers

Answer:

15 plates

Step-by-step explanation:

450 divided by 30 = 15, meaning 30 x 15 would be 450 mg. This also means that if the weight of some plates was 450 mg, there would be 15 plates.

Answer:

15

Step-by-step explanation:

Your units are a little confused.

The mass (total ) is 450 mg

1 plate weighs 30 mg

1 plate / 30 mg  =  x plates / 450 mg             Cross multiply

1 * 450 = 30x                                                   Divide by 30

450 / 30 = x

x = 15

There are 15 gold plates.

Which fraction has the greatest value?
+
-1
0
Jh
1
O
Um
d
HELPPPPP!!!!

Answers

The answer would be 5/6

Choose a method you prefer to solve for a system of linear equations.
2x + 4y = -4
2x-y=6

Answers

Answer:

Elimination

x = 2

y = -2

Step-by-step explanation:

Elimination

2x + 4y = -4

2x - y = 6

Subtract the second equation from the first

5y = -10

Divide both sides by 5

y = -2

---------------------

Substitute for y = -2 in the second equation

2x - -2 = 6

2x + 2 = 6

subtract 2 from both sides

2x = 4

Divide both sides by 2

x = 2

HELPPP
PLLS
DUE RN



WILL


GIVE BRAINLIST



X
X
X
X

Answers

It’s the last one which is 33%

Answer:

33% of the people preferred onions

can i get brainliest now lol





The sixth-grade class is raising money to have a
class trip at the end of the year. They began the year
with $1,500. Now they have $1,650 in the account.
What is the percent increase for the money the class
has raised?

Answers

Answer:

There is a 10 percent increase

The scores of 10 golfers were 77; 74; 78; 72; 70; 85; 71; 76; 80; 70. Calculate the mean of the dataset.

Answers

Answer:

The mean should be 75.3.

Step-by-step explanation:

[tex]\frac{77+74+78+72+70+85+71+76+80+70}{10}\\\\\frac{753}{10}\\\\\boxed{75.3}[/tex]

Hope this helps!

question in picture attached

Answers

Answer:

True

Step-by-step explanation:

Right angles (shown on the diagram) are perpindicular by definition.

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