A polynomial function has a root of -3 with multiplicity 2, a root of 0 with multiplicity 1, a root of 1 with multiplicity 1, and a root of 3 with multiplicity 2. If the function has a positive leading coefficient and is of even degree, which could be the graph of the function?​

Answers

Answer 1

Answer:

see uploaded image

Step-by-step explanation:   5 30  10 04

x(x+3)²(x-1)(x-3)²

I attached my guess, since I don't see any graphs.  

NOTE the x axis scale change on my submission.

A Polynomial Function Has A Root Of -3 With Multiplicity 2, A Root Of 0 With Multiplicity 1, A Root Of
Answer 2

Only option A graph matches the features of this polynomial. Therefore, option A is the correct answer.

What is a polynomial function?

A polynomial is an equation with many terms whose leading term is the highest exponent known as a degree. The degree or exponent tells how many roots exist. These roots are the x-intercepts.

This polynomial has roots -3, 0, 1, and 3. This means the graph must touch or cross through the x-axis at these x-values. What determines if it crosses the x-axis or if the simple touch it and bounces back? The even or odd multiplicity - how many times the root occurs.

In this polynomial:

Root -3 has an even multiplicity of 2 so it only touches and does not cross through.

Root 0 has an odd multiplicity of 1 so crosses through.

Root 1 has an odd multiplicity of 1 so crosses through.

Root 3 has an even multiplicity of 3 so it only touches and does not cross through.

Knowing this, only the first and second graphs are possible answers.

Lastly, what determines the facing of the graph (up or down) is the leading coefficient. If positive, the graph ends point up. If negative, the graph ends and points down. All even degree graphs will have this shape.

Only option A graph matches the features of this polynomial. Therefore, option A is the correct answer.

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A Polynomial Function Has A Root Of -3 With Multiplicity 2, A Root Of 0 With Multiplicity 1, A Root Of

Related Questions

Please show steps, 100 points and Brainliest
Convert vertex form f(x)=(x+2)^2-25 to factored form.

Answers

Answer:

f(x)=x^2+4x-21

Step-by-step explanation:

Answer:

f(x) = (x + 7)  (x - 3)

Step-by-step explanation:

f(x)=(x+[tex]2)^{2}[/tex]-25

(x + 7) (x - 3) we put the 2 x's because of the (x+2)^2

now the + 7 and - 3, multiply the 2 numbers = -21 then use those 2 in

(x+2)^2 to add for the answer = -25

Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

30

you can easily find out the answer by multiplying 2/3 by 10 on both the numerator and denominator to get 20/30 which is the amount of people that like the chip flavor. the other 10 is the people that don't like it.sorry if I gave you a stroke but 20 people like the chip and 10 people don't so theres 30 people in total

solve these equations, show all your work x/2=20

Answers

Answer:

x = 40

Step-by-step explanation:

x/2 = 20

x/2(2) = 20(2)

x = 40

help pls what is he surface area measured in square centimeters, of the shape
below do not include units in your answer

Answers

Answer:

Solution given:

l=8cm

b=8cm

h=3cm

now

total surface area=2(lb+bh+lh)

=2(8*8+8*3+8*3)=224cm²

224 cm² is a required volume.

What is the value of z?

No links please!!

Answers

9514 1404 393

Answer:

  z = 14.4

Step-by-step explanation:

The angle bisector divides the sides proportionally.

  z/12 = 6/5 . . . . . . . . . write a proportion*

  z = 12(6/5) = 72/5 . . . . . multiply by 12

  z = 14.4

_____

* We consider the proportion easier to solve if the unknown is in the numerator. Then the solution is found by multiplying the equation by that denominator.

What is the area of the figure? A 80 square inches 88 square inches C. 96 square inches D. 120 square inches​

Answers

Answer:

88

Step-by-step explanation:

A man earns 15000 in a month. if he spends 20% on food and 10% in his children's education.
a) what is his total expenditure?
b) how much does he save in a month?​

Answers

Step-by-step explanation:

Total money=15000

food=20%

edu.=10%

food AMT=20% of 15000

=20/100*15000

= 3000

education AMT= 10/100*15000

=1500

savings = 15000-1500-3000

=Rs10500

total expenditure=1500+3000

=4500

NEEEEEEEEED HELPPP step by step

Answers

Answer:

Step-by-step explanation:

what shapes have 2 pairs of parallel sides? Choose all that arw correct.​

Answers

Answer:

can we see the options please

square, rectangular, rhombus

PLS HELP!!!
Find the area of the triangle below.
Be sure to include the correct unit in your answer.
6 yd
13 yd
17 yd

Answers

Answer:

36

Step-by-step explanation:

1. The radius of the circular base of a cylinder tank is 0.7 m and its height is 5 m. What is
its surface area??

A. 20.5572 sqm
B. 22.5072 sqm
C. 25.0572 sqm
D. 27.0552

2. An ice cream cone has a radius of 7 cm and a slant height of 10 cm. What is its surface
area?

A. 337.66 sq cm
B.373.66 sq cm
C.376.36 sq cm
D. 376.66 sq cm


help, it's just 1-3 :( with solution please :(

3. A cubical wooden box has a surface area of 600 square cm. What is the measurement
of each
edge?

B. 6 cm
C. 10 cm
A. 5 cm
D. 100 cm

Answers

Answer:

C)

B)

C)

Step-by-step explanation:

Question-1:

recall the surface area formula of cylinder

[tex] \displaystyle A _{S} = 2\pi r(h + r)[/tex]

given that,h=5 and r=0.7

substitute:

[tex] \displaystyle A _{S} = 2\pi (0.7)(5 + 0.7)[/tex]

simplify parentheses:

[tex] \displaystyle A _{S} = 2\pi (0.7)(5 .7)[/tex]

simplify multiplication:

[tex] \displaystyle A _{S} =25.0572 sqm[/tex]

hence, our answer is C

Question-2:

remember the surface area formula of cone

[tex] \displaystyle A _{S} = \pi r(r + s)[/tex]

given that,r=7 and s=10

substitute:

[tex] \displaystyle A _{S} = \pi (7)(7+ 10)[/tex]

simplify parentheses:

[tex] \displaystyle A _{S} = \pi (7)(17)[/tex]

simplify multiplication:

[tex] \displaystyle A _{S} =373.66sqcm[/tex]

hence, our answer is B

Question-3:

now for the question-3 we need a little bit understanding

remember the surface area formula of cube

[tex] \displaystyle A _{S} =6 {a}^{2} [/tex]

we are given that,[tex]A_S=600[/tex] Thus

substitute:

[tex] \displaystyle 6 {a}^{2} = 600[/tex]

divide both sides by 6:

[tex] \displaystyle {a}^{2} = 100[/tex]

square root both sides:

[tex] \displaystyle {a}^{} = 10[/tex]

hence, the measurement of each

edge is 10 cm therefore our answer is C)

Find the volume of the pyramid. v=

Answers

Answer:

240 mi^3

Step-by-step explanation:

Base area = length x width = 10 x 8 = 80 mi^2

V = (base area x height)/3 = (80 x 9)/3 = 240 mi^3

Watch "How Wolves Changed Rivers" on YouTebe

***And answer the following question please ASAP ASAP please

1. Why did the "deer" (they are really elk) leave the valleys when the wolves were re-introduced to Yellowstone?

2. When the elk left the valleys, what happened to the vegetation? Give specific examples.

3. Once the vegetation changed, what wildlife came back?

4. How did the wolves change the rivers?

5. How did the elk change the rivers when the wolves were removed from Yellowstone National Park?




Answers

You Are Not Allowed To Put Links Or To Tell To Go To Other Websites according To The Rules

In a grocery store, a $12 case of soda is labeled, "Get a 20% discount." What is the discount? What is the sale price of the case of soda?

Answers

the discount would just be 20% and then the sale of the sodas would be $10 because you’re getting two dollars off

%20 time 5 is 100
so 12 divided by five equals 2
12-2=10

For what values of x and y is PQRS a parallelogram?

Answers

Answer:

x = 3

y = 2

Step-by-step explanation:

GIVEN :-

PQ =  2y + 3QR = 4y + 1RS = y + 5PS = 4x - 3

TO FIND :-

The values of x & y for which PQRS will be a parallelogram

FACTS TO KNOW BEFORE SOLVING :-

In a parallelogram , pair of opposite sides are always equal in length.

SOLUTION :-

PQRS will be a parallelogram only when :-

PQ = RSand PS = QR

1) Assume that PQ = RS.

[tex]=> 2y + 3 = y + 5[/tex]

[tex]=> 2y - y = 5 - 3[/tex]

[tex]=> y = 2[/tex]

∴ For y = 2 , PQ = RS.

2) Now, assume that PS = QR.

[tex]=> 4x - 3 = 4y + 1[/tex]

(Put y = 2 in the equation)

[tex]=> 4x - 3 = 4 \times 2 + 1[/tex]

[tex]=> 4x - 3 = 9[/tex]

[tex]=> 4x = 9 + 3 = 12[/tex]

[tex]=> x = \frac{12}{4} = 3[/tex]

∴ For x = 3 , PS = QR.

CONCLUSION :-

For x = 3 & y = 2 , PQRS is a parallelogram.

if x=-4 and y=3 what is the value of x-3y^2

a: -13
b: -31
c: -23
d: -85​

Answers

Answer:

b -31

Step-by-step explanation:

Step-by-step explanation:

x-3y²4-3×3²4-27-23

hope it helps

stay safe healthy and happy..

Each square represents 1 whole. Which of the following are represented by the model shown? Select the three correct answers.

Answers

Answer:

(52/10)

5 (2/10)

5.2

Step-by-step explanation:

One pipe can fill a tank in 4 hours. A second pipe also requires 4 hours, but a third
needs three hours. How long will it take to fill the tank if all three pipes are open?

Answers

Answer:

Step-by-step explanation:

We will use the idea here that the first 2 pipes can get 1/4 of the job done in an hour, and that the third pipe can get 1/3 of the job done in an hour. We need to know then the number of hours it will take to fill the tank if all 3 work together. The equation looks like this:

[tex]\frac{1}{4}+ \frac{1}{4}+ \frac{1}{3}= \frac{1}{x}[/tex] Now we find a common denominator and solve for x. The common denominator is 12x. Multiplying everything by 12 x gives us

3x + 3x + 4x = 12 and

10x = 12 so

x = 1.2 hours

Answer:

1.2 hours

Step-by-step explanation:

we need to see how much each pipes does in the same amount of time

The least common multiple of 3 hours and 4 hours is 12 hours

In 12 hours:

Pipe 1 at 4 hours to fill a tank fills 3 tanks

Pipe 2 at 4 hours to fill a tank fills 3 tanks

Pipe 3 at 3 hours to fill a tank fills 4 tanks

All three pipes can fill 10 tanks in 12 hours

12 hours/10 tanks = 1.2 hours to fill one tank

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

Doing just the math

1/4 + 1/4 + 1/3 = x

3/12 + 3/12 + 4/12 = 10tanks/12 hours

12hours/10tanks = 1.2 hours

In ΔWXY, the measure of ∠Y=90°, YX = 40, XW = 41, and WY = 9. What ratio represents the cosine of ∠W?

Answers

Answer:

[tex]\cos{W} = \frac{9}{41}[/tex]

Step-by-step explanation:

Cosine of an angle:

The cosine of an angle, in a right triangle, is the length of the side adjacent to this angle divided by the hypotenuse.

Length of the largest side:

The length of the largest side is 41, that is, the hypotenuse is 41. The hypotenuse is XW.

WY = 9.

This means that the length of the adjacent side to angle W is 9.

What ratio represents the cosine of ∠W?

Adjacent side has length 9, hypotenuse has length 41. So

[tex]\cos{W} = \frac{9}{41}[/tex]

What is the value of (5 2– 10) ÷ 5 × 2 3 ?

CORRECT ANSWER PLEASE?!!

Answers

Answer:

210

Step-by-step explanation:

(52-10)

42÷5

8.4×25=210

Answer:

BEODMASS

( 52 - 10 ) ÷ 5 × 23

42÷5 ×23

8.4 x 23

193.2

Can some explain how to do this?

Answers

Answer:

Exact Area = 210.25pi - 210Approximate Area = 450.185

The units for the area are in square inches or in^2. The approximate value shown above is when using pi = 3.14

=============================================================

Explanation:

Use the pythagorean theorem to find the length of the hypotenuse

a = 20b = 21c = unknown

a^2 + b^2 = c^2

20^2 + 21^2 = c^2

400 + 441 = c^2

c^2 = 841

c = sqrt(841)

c = 29

The hypotenuse is 29 inches long. This is the diameter of the circle. Half of that is the radius at r = d/2 = 29/2 = 14.5 inches.

The area of the circle is...

A = pi*r^2

A = pi*(14.5)^2

A = pi*210.25

A = 210.25pi

Which is exact in terms of pi

We'll subtract off the triangular region as this isn't shaded in. The area of the triangle is base*height/2 = 20*21/2 = 420/2 = 210 square inches.

So the shaded region is therefore 210.25pi - 210 square inches

This approximates to 210.25*3.14 - 210 = 450.185 when using the approximation pi = 3.14; use more decimal digits of pi to get a more accurate value.

38°
24 in
A restaurant owner plans to install this bicycle rack in front of her restaurant. In order to meet city safety requirements, the base
of the bicycle rack cannot exceed 20 inches so as to not obstruct pedestrians. Will this bicycle rack be approved by the city?

Answers

Answer:

39

Step-by-step explanation:

Yes, the base of the bicycle rack measures about 15 inches.

Whta is the sin angle?

The sine (sin) of an acute angle in a right angled triangle is the ratio between the side opposite the angle and the hypotenuse of the triangle.

A restaurant owner plans to install this bicycle rack in front of her restaurant.

In order to meet city safety requirements, the base of the bicycle rack cannot exceed 20 inches so as to not obstruct pedestrians.

The base of the bicycle is ;

In the right angle triangle;

[tex]\rm = sin38 \times 24\\\\ =0.61 \times 24\\\\=14.77[/tex]

Yes, the base of the bicycle rack measures about 15 inches.

Hence, Yes, the base of the bicycle rack measures about 15 inches.

Learn more about sin angle here;

https://brainly.com/question/18597026

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Please help me solve these questions

Answers

1= 15
2= 12
Hope this helps

help me plzz
4X + 24 - X + 5 ≤ 62

Answers

Answer:

Combine like terms:

3x + 29 ≤ 62

-29          -29

3x = 33

Divide by 3 on both sides.

x = 11!

Answer:

x is 11

Step-by-step explanation:

4X + 24 - X + 5 ≤ 62

24 + 5

is 29

29-3x  ≤ 62

-3x  ≤  33

-x ≤ 11

x ≥ 11

Arianna earns $15 for doing yard work for 3 hours. If Arianna charges at the same rate, how many hours will it take her to
earn $35? hours

Answers

Answer:

7 hours

Step-by-step explanation:

15 dollars +15 dollars 30 dollars=2 hours. 5 dollars left 15 divided by 3, 5 dollars. 3 divided by 3 = 1 so 1 hours is 5 dollars. My explaining is not good.

Answer: 7 hours

Step-by-step explanation:

She earns 5 dollars per hour because 5x3=15

and then you do 15x2=30

then 3x2=6

then just add 1 to 6

6+1=7

so there's your answer

7 hours

on a piece of paper graph......

Answers

Answer:

I think it’s the first one, A

The table below shows the relationship between C, the cost in dollars of a piece of gold, and W, its weight in ounces.
Cost of Gold Based on Weight
Cost (C ) in
Dollars Weight (W ) in
Ounces
7,200 12
13,200 22
19,200 32
Which equation could be used to determine the cost of a piece of gold of any weight?



(any links, or incorrect answers will be reported and banned)

Answers

Answer:

Solution given:

12 Ouches =$7200

per Ouches =$7200/6=$600

So

the required equation for the cost of any weight of gold is:

C.

600W=C is a required equation.

Answer:

600W=C

Step-by-step explanation:

.......................

50 persons 2 glass. Each glass 150 milliliter. How many liters

Answers

Answer:

1.5 liters

Step-by-step explanation:

300 mL per person

50 people

300 x 50 = 1500

1500 mL = 1.5 L

S(x)=5x+5
T(x)=_3x +4

The value of t(s(2))

Answers

Answer:

Step-by-step explanation:

This is a composite function, in which we will first evaluate the s function at a value of 2, then we will use that value in the t function.

s(2) = 5(2)+ 5 so

s(2) = 15. Now we evaluate the t function at 15:

t(15) = 3(15) + 4 so

t(15) = 49

Please help me. 20 POINTS

Answers

Answer:

could you please also post what the choosing options are and then ill edit this and do it again

Step-by-step explanation:

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