The degree of the polynomial function f(x) is 3.
The roots of the equation f(x) = 0 are - 1,0, and 4
Which graph could be the graph of f(x)?

The Degree Of The Polynomial Function F(x) Is 3.The Roots Of The Equation F(x) = 0 Are - 1,0, And 4Which

Answers

Answer 1

Answer: Top right corner

This graph shows a curve going through x = -1, x = 0 and x = 4 on the x axis. These are the three roots or x intercepts.

The graph in the bottom right has a root of x = -4, but that's not one of the listed roots in the instructions. So we rule this graph out.

The other two graphs only have two roots, and not three, so we rule them out as well.

Answer 2

Step-by-step explanation:

If the degree of a polynomial function is an odd number, the ends of the graph will go in opposite directions. (one going up and one going down)

The graph must pass the x-axis at the points -1, 0, 4.

Only the top-right graph satisfies our conditions.


Related Questions

Which of the following correctly shows the quotient of 55 divided by5 ?

Answers

Answer:

Quotient is 11

Step-by-step explanation:

In this question, we need to find the quotient of 55 divided by 5. In this case, 5 is divisor, 55 dividend. Let Q be the quotient of this.

On dividing 55 by 5, the quotient of this sum is 11. In this case, remainder is 0.

We know that,

11 × 1 = 11

And 11 × 5 = 55

So, the quotient in this case is 11. Hence, this is the required solution.

Have A Wonderful Day !!

PLEASE HELP DOING PLATO!!! AABC transforms to produce AA'BC. Which transformation did NOT take place?​

Answers

Answer:

Option D

Step-by-step explanation:

From the picture attached,

Coordinates of point C → (1, 3)

Coordinates of point C'→ (-1, -3)

Option A.

rotation 180° counterclockwise about the origin.

Rule for the rotation is,

(x, y) → (-x, -y)

By this rule,

C(1, 3) → C'(-1, -3)

True

Option (B)

Reflection across the origin

Rule for the reflection is,

(x, y) → (-x, -y)

By this rule,

C(1, 3) → C'(-1, -3)

True

Option C

Rotation 180° clockwise about the origin

Rule for the rotation is,

(x, y) → (-x, -y)

By this rule,

C(1, 3) → C'(-1, -3)

True.

Option D

Reflection across the line y = -x

Rule for the reflection,

(x, y) → (-y, -x)

By this rule,

C(1, 3) → C'(-3, -1)

False.

Therefore, Option D will be the answer.

If 1,200 students participated in the survey, how many rated the cafeteria food “poor”?
200 students
300 students
400 students
600 students

Answers

Answer:

The answer is 300

Answer:

300 students

Step-by-step explanation:

hope this helps!

Which answer is the most reasonable to estimate 448.3 ÷ 51.3?

Answers

Answer:

9

Step-by-step explanation:

450/50

Which statement explains why the two systems of equations below have the same solution

Answers

Answer: "B"

The first equation B is the sum of the equations in A, while the other is obtained by multiplying the first equation in A by 2.

The first equation B is the sum of the equations in A, while the other is obtained by multiplying the first equation in A by 2 hence, the correct option is second.

What is a system of equations?

An equation is an expression that shows the relationship between two or more numbers and variables.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

We are given the system of equation as;

A,  { 6x + 8y = -10}

      {2x - 5y = 12}

B, {8x + 3y = 2}

    {12x + 16y = -20}

If we add the first two equations that shown in A, then;

6x + 8y + 2x - 5y = -10 + 12

8x + 3y = 2

Now the first equation in A would be multiplied by 2, So

2(6x + 8y = -10)

12x + 16y = -20

Therefore, the correct option is Option B.

Learn more about equations here;

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Write an equation for line L in point-slope form and slope-intercept form.
L is perpendicular to y=4x.

Answers

Answer:

[tex]y = -\frac{1}{4}x + c[/tex] --- Slope intercept

[tex]y - y_1 = -\frac{1}{4}(x - x_1)[/tex] --- Point slope

Step-by-step explanation:

Given

Perpendicular to [tex]y = 4x[/tex]

Required

Determine its equation

The general form of an equation is:

[tex]y = mx + c[/tex]

Where

[tex]m = slope[/tex]

By comparison:

[tex]m = 4[/tex]

Next, we calculate the slope of L.

Because L is perpendicular to [tex]y = 4x[/tex], the relationship between their slopes is:

[tex]m_2 = -\frac{1}{m}[/tex]

Substitute 4 for m

[tex]m_2 = -\frac{1}{4}[/tex]

The equation of L in slope intercept form is: [tex]y = mx + c[/tex]

Substitute -1/4 for m

[tex]y = -\frac{1}{4}x + c[/tex]

In point slope form, we have:

[tex]y - y_1 = m(x - x_1)[/tex]

Substitute -1/4 for m

[tex]y - y_1 = -\frac{1}{4}(x - x_1)[/tex]

Answer:

y-4=-1/4(x-1)

y=-1/4x+17/4

Step-by-step explanation:

deb Found 56 tulips for $8. Please help Deb figures out the ratio

Answers

Answer: 7:1

To find the unit rate or unit ratio, divide 56 by 8.

56/8 = 7.

So, per 7 tulips it costs 1 dollar, or $1.

So the ratio, 7:1 represents this problem.

Ernesto has already baked 3 pies, and he can bake 2 pies with each additional cup of sugar
he buys. Write an equation that shows the relationship between the additional cups of sugar
x and the number of pies y.
Write your answer as an equation with y first, followed by an equals sign.

Answers

Answer:

igcwochcd chocho dhvohov dochvo

need help asap please

Answers

Answer:

[tex]\displaystyle 31[/tex]

Step-by-step explanation:

Angles Y and X form a linear pair, therefore you use the Linear Pair Theorem to solve for x:

[tex]\displaystyle 180° = [2s - 4]° + [s + 91]° → 180° = [87 + 3s]° → 93 = 3s; 31 = s[/tex]

I am joyous to assist you at any time.

??????????????????????????????

Answers

Answer:

-5

Step-by-step explanation:

A farm has 5 brown cows and 10 white cows. A fence is open and a cow escapes. What is the probability that it will be a brown cow?

Answers

1/15 because if just one cow escapes out of all the cows then it will be 1 out of 15 cows all together.

Answer:

D

Step-by-step explanation:

solve the question below, please

Answers

Answer:

carios has greater angle

Step-by-step explanation:

hope this helps

Do all of these PLEASE

Answers

Answer:

9= .8

10= .2

11=  4

12= 1/3

13= -2

14= -2/3

cant do 15 no draw tool

part 2

1. 10

2. -5

3. -5

4. -13

5. -2

6. .5

7. 4

8. -2

Estimate the values of x when y=1

Answers

Step-by-step explanation:

if one were to put the y value the equation they could find out what x is for a certain value of y

putting the value of y(1), we get the equation

1=4x-1

2=4x

x=0.5

the value of x when y is 1 is =0.5

NOTE: I got this explanation on brainy on someone else I am not taking the credit

a) The graph of y = 4x - 1 is shown in attached image.

b) By using the graph at y = 1 the value of x is 1/2.

What is Linear expression?

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

Given that;

The function is,

y = 4x - 1

Now, The graph of function y = 4x - 1.

And, At y = 1;

By the graph the value of x = 1/2.

And, In mathematically;

At y = 1

The value of x is;

y = 4x - 1

1 = 4x - 1

4x = 2

x = 2/4

x = 1/2

Thus,

a) The graph of y = 4x - 1 is shown in attached image.

b) By using the graph at y = 1 the value of x is 1/2.

Learn more about the linear expression visit:

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20 POINTS
Sam walked for 30 minutes more than Jessica. Courtney walked twice as long as Sam. Courtney walked for 80 minutes. The equation 2(x + 30) = 80 describes this situation.



What does 2(x + 30) represent?

Group of answer choices

the number of minutes that Jessica walked

The number of minutes that Sam walked

The number of minutes that Courtney walked

The total number of minutes the girls walked combined

Answers

Answer:

EXAMPLE

Pete bought a shirt on sale for $

18

18, which is one-half the original price. What was the original price of the shirt?

Solution:

Step 1. Read the problem. Make sure you understand all the words and ideas. You may need to read the problem two or more times. If there are words you don’t understand, look them up in a dictionary or on the Internet.

In this problem, do you understand what is being discussed? Do you understand every word?

Step 2. Identify what you are looking for. It’s hard to find something if you are not sure what it is! Read the problem again and look for words that tell you what you are looking for!

In this problem, the words “what was the original price of the shirt” tell you what you are looking for: the original price of the shirt.

Step 3. Name what you are looking for. Choose a variable to represent that quantity. You can use any letter for the variable, but it may help to choose one that helps you remember what it represents.

Let

p

=

p= the original price of the shirt

Step 4. Translate into an equation. It may help to first restate the problem in one sentence, with all the important information. Then translate the sentence into an equation.

The top line reads:

Step 5. Solve the equation using good algebra techniques. Even if you know the answer right away, using algebra will better prepare you to solve problems that do not have obvious answers.

Write the equation.

18

=

1

2

p

18=12p

Multiply both sides by 2.

2

18

=

2

1

2

p

2⋅18=2⋅1

Step 3. Name what you are looking for. Choose a variable to represent that quantity. You can use any letter for the variable, but it may help to choose one that helps you remember what it represents.

Let

p

=

p= the original price of the shirt

Step 4. Translate into an equation. It may help to first restate the problem in one sentence, with all the important information. Then translate the sentence into an equation.

The top line reads:

Step 5. Solve the equation using good algebra techniques. Even if you know the answer right away, using algebra will better prepare you to solve problems that do not have obvious answers.

Write the equation.

18

=

1

2

p

18=12p

Multiply both sides by 2.

2

18

=

2

1

2

p

2⋅18=2⋅12p

Simplify.

36

=

p

36=pStep 6. Check the answer in the problem and make sure it makes sense.

We found that

p

=

36

p=36, which means the original price was

$36

$36. Does

$36

$36 make sense in the problem? Yes, because

18

18 is one-half of

36

36, and the shirt was on sale at half the original price.Step 7. Answer the question with a complete sentence.

The problem asked “What was the original price of the shirt?” The answer to the question is: “The original price of the shirt was

$36

$36.”

If this were a homework exercise, our work might look like this:

The top reads,

TRY IT

Step-by-step explanation:

#CarryOnLearning

Which equation is graphed below?

Answers

Hope it will help you

Write in lowest terms:
4rs2/(6s)

Answers

Answer:

2rs/3

Step-by-step explanation:

Which product shows the decimal placed correctly?

0.18 x 0.15

A) 0.00027
B) 0.0027
C) 0.027
D) 0.27

Answers

Answer:

The answer is c. 0.027.

Step-by-step explanation:

Answer:

Step-by-step explanation:

0.18*0.15=0.027  choice C

Please help.......................

Answers

Answer:

1

Step-by-step explanation:

Don't worry I just know

Use equivlant ratios 7/= 21/27

Answers

Answer:

7/9 = 21/27 hope this helps

Step-by-step explanation:

7/? = 21/27
= 7 * 3
= 21

? * 3
= 27
?= 9

PLZ HELP WILL GIVE V=BRIANLYEST

Answers

i also agree to this question

Answer:

i also agree to this question

Step-by-step explanation:

A ball rolls 12 meters in 3 seconds. What is its speed?​

Answers

Step-by-step explanation:

speed = distance/time

= 12/3 m/s

= 4 m/s

4

V = s/t

= 12/3

=4

S = move

T = time

V = speed

PLEASE HELP ASAP

A drug researcher decides to test a new arthritis pain medication for safety
and effectiveness on a treatment group of 17 severely disabled arthritis
sufferers in a hospital ward. For the safety portion of the study, the same drug
will be administered to 17 healthy volunteers from the hospital staff. The
experiment will be repeated with the same experimental design at a number
of other hospitals and outpatient clinics across the country,
Which of the following principles of experimental design are being followed?
Check all that apply.
A. Replication
B. Control
I C. Blindness
D. Blocking
E. Randomization

Answers

The answer is A or B I’m sorry I’m not sure it’s between those please give me brainliest :(

how do i the find the slope?
(btw i know how to do [m=change in y and x] thingy, but i just cant seems to get the right answer.)

Answers

Step-by-step explanation:

[tex]x ^{1} = - 5 \\ y ^{1} = - 2 \\ x {}^{2} = - 2 \\ y {}^{2} = 1 \\ then \: you \: solve \: with \: that \: formula \: you \: know[/tex]

PLS HELP. Find the value of each variable.

Answers

6. x=100

7.x=75

8.x=30

10.x=112

11.x=58 y=58

Answer:

6) x = 70°

7) x = 75°

8) x = 30°

10) x = 112°

11) x = 58° , y = 58°

Step-by-step explanation:

6) two congruent sides means two congruent angles

   x + x + 40 = 180         2x = 140

7) two congruent sides means two congruent angles

   both base angles measure 75 degrees

8) isosceles triangle (has two equal sides)   75(2) + x = 180    150 + x = 180

10)  two congruent angles means two congruent sides

      44 + 2n = 180      2n = 136      n = 68

      angles n and x form a linear pair and equal 180

      180 - 68 = 112

11) isosceles triangle so ∡x = ∡y   64 + x + x = 180

   64 + 2x = 180      2x = 116        x = 58

Which graph represents the compound inequality?
n<-2 or n 24
5 4 3 -2 -1 0
1
2 3 4 5
54-3-2-1
0
1
5
0
1
2
3
4
o
1
2
3
4
5

Answers

Answer:

The right number line is the third one

Step-by-step explanation:

it matched with the equations

Answer: its the 3rd one open circle on -2 and move to the left. closed circle on 4 move to the right.

Step-by-step explanation:

yea

Find the measure of angle YTG

Answers

The angle is 30 degrees
Answer= 30 degrees.

The line that goes horizantally (left to right) across the graph is called what? *

Answers

Step-by-step explanation:

horizontal line I believe

A population of rabbits on a farm grows by 12% each year. Assume that this increase occurs as new baby rabbits at the beginning of each new year. Define a sequence {rn} describing the rabbit population at the beginning of each year. Suppose that the sequence starts with r1 = 30. for the first year. As the sequence is a model for the actual population, we accept fractional numbers in the sequence. (a) Determine r12. Determine a formula for rn, for general n. (b) If each rabbit consumes 10 pounds of rabbit food each year, then how much rabbit food is consumed during the 10th year? How much rabbit food is consumed in total for the 1st through 10th years? Express this as a summation and as an exact number.

Answers

Answer:

a) r₁₂ = 104.36

In general, rₙ = arⁿ⁻¹

b)

- rabbit food consumed during the 10th year is approximately 832 pounds

- rabbit food consumed in total for the 1st through 10th years is approximately 5265 pounds

Step-by-step explanation:

Given that:

r1 = 30 and a farm grows by 12%

a = 30 and the common ratio r = 1.12

now

n           r

1        30.00

2       33.60

3       37.63

4       42.15

5       47.21

6       52.87

7       59.21

8       66.32

9       74.28

10      83.19

11       93.18

12      104.36

Therefore r₁₂ = 104.36

In general, rₙ = arⁿ⁻¹

b)

if each rabbit consume 10 lbs of rabbit food each year

n           r                food consumed(lbs)

1        30.00               300

2       33.60               336

3       37.63                376

4       42.15                422

5       47.21                472

6       52.87               529

7       59.21                592

8       66.32               663

9       74.28               743

10      83.19                832

total                          5265

Therefore, the rabbit food consumed during the 10th year is approximately 832 pounds

And the rabbit food consumed in total for the 1st through 10th years is approximately 5265 pounds

need help plzzzzzxsss​

Answers

with whatttttt ( i can edit my answer )
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