how do you find the x-intercepts if given the following polynomial in factored form?

X(x-2)^2(x+4)(x+1)​

Answers

Answer 1

Answer:

Step-by-step explanation:

You know the intercepts occur at x = 0, so set each part of the factored form equal to zero and solve for x.

The first part, plain X = 0, so X = 0 is a root, an x-intercept

The second part (X-2)^2 = 0, so X = 2 is another root. Since the function is being squared, this root will happen twice. The function crosses this root twice.

The third part (x+4) = 0, so x = -4 is another root.

Finally, (x+1) so x = -1 is another root.

So you have X = 0, X = 2, X = -4, X = -1 as your x-intercepts


Related Questions


HELLPPP ASAP PLEASEEE!!!

Answers

Answer:

angle G = 64.9 is because the sum of interior angle is 180

2 Simplify -3(16 = 35+4)/5. Show your work.

Answers

Answer:

-9

Step-by-step explanation:

Parentheses first:16-35+4 = -35+16+4 = -35+20 = -15

3(-15) = -45/5

-45 divided by 5 = -9

At the school carnival, Jade has a game booth with a spinner. The banner at her booth reads "20% chance of winning!" What is the chance that a player may not win? (5 points) Group of answer choices 90% 50% 80% 40%

Answers

Answer: 80%

Step-by-step explanation:

100% chance is normally the most so 100 is our whole. 100-20=80. That being the % makes 80% as the answer. Hope i helped!

regalo puntos sigeme y listo​

Answers

Answer:

gracias por los puntos

Step-by-step explanation:

puntos.com

Answer:

No pos culluiwjwiwjkwjw

(2x2)+(6x 109)
I don’t know how to do this

Answers

Answer:

658

Step-by-step explanation:

4+654=658.........

Answer:

658

Step-by-step explanation:

First solve 2x2, which is equal to 4.

Then solve 6 x 109 which is equal to 654.

Now add 4 to 654, and you'll get 658

Bert is driving along a country road at a constant speed of 30 miles per hour. How long does it take for him to travel 50 miles?

Answers

30 miles/60 minutes = 50 miles/ x minutes
Cross multiply, and you have 3000 = 30x. x = 100 minutes, or 1 hour 40 minutes

The time of 1 hour 40 minutes Bert takes for him to travel 50 miles.

What is the distance?

Distance is defined as the product of speed and time.

What are Arithmetic operations?

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

The operator that performs the arithmetic operation is called the arithmetic operator.

Operators which let do a basic mathematical calculation

+ Addition operation: Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

Given that Bert is driving along a country road at a constant speed of 30 miles per hour

To determine the time it takes for him to travel 50 miles.

Let the time of x minutes it takes for him to travel 50 miles.

⇒ 30 miles/60 minutes = 50 miles/ x minutes

Cross multiplication apply in above equation,

⇒ 30x. x = 60x50

⇒ 3000 = 30x.

⇒ x = 100 minutes, or

1 hour 40 minutes

Learn more about distance here:

https://brainly.com/question/13269893

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Can someone help out I’m confused.

Answers

Answer:

y=-2/5x-3

Step-by-step explanation:

the slope is m and the y intercept is b

heyy the answer y= -2/5x-3

11. Justin needs to rent a car to go on vacation. EnvoCar charges $65 and $0.10 per mile. FreedomRide charges $80 and $0.05 per mile.
_________________________
a. How much more does Freedom Ride charge for driving m miles than EnvoCar?
_________________________
b. If Justin’s round-trip distance is 250 miles, which car rental company should he rent from? Explain.

Answers

9514 1404 393

Answer:

  a) difference of charges is 15 -0.05m

  b) Justin should rent from EnvoCar

Step-by-step explanation:

a) EnvoCar charges ...

  c = 65 +0.10m . . . . . c = charge for m miles

FreedomRide charges ...

  c = 80 +0.05m

Then FreedomRide charges more by ...

  (80 +0.05m) -(65 +0.10m) = 15 -0.05m

__

b) If Justin's round-trip distance is 250 miles, the extra charge from FreedomRide is ...

  15 -0.05(250) = 2.50

For that distance, EnvoCar costs less. Justin should rent from EnvoCar.

_____

Additional comment

The additional charge from FreedomRide is zero when m=300. Above that mileage, FreedomRide charges less.

Which of the following expressions are equivalent to 5(m + 3)? hurryy

Answers

Answer:

B   5m + 15

Step-by-step explanation:

Use the distributive property and multiply 5 by both terms inside the parentheses.

5(m + 3) = 5 * m + 5 * 3 = 5m + 15

Answer: B   5m + 15

Help me pleaseeeeeee

Answers

Answer:

1(top)- the last one

2- the first one

3(bottom)- the middle one

Step-by-step explanation:

trust me :)

What is the difference of the fractions ? PLZ HELP ONLY HAVE 7 MINS​

Answers

[tex] - 2 \frac{1}{2} - ( - 1 \frac{3}{4} )[/tex]

[tex] - \frac{5}{2} - ( - \frac{7}{4} )[/tex]

[tex] - \frac{10}{4} - ( - \frac{7}{4} )[/tex]

[tex] - \frac{3}{4} [/tex]

please help me I will mark brainiest

Answers

Answer:

x = 6

Step-by-step explanation:

To solve for x, do inverse operations on both sides of the equation:

x + 4 = 10

  - 4     - 4

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

x        = 6

x = 6

Answer:

6

Step-by-step explanation:

x + 4 = 10

6 + 4 = 10

PLS CAN SOMEONE HELP ME PLS

Answers

Answer:

20 m

Step-by-step explanation:

Let the length of the perpendicular dropped from vertex C to segment AB be x

By geometric mean property:

[tex]x = \sqrt{16 \times 9} \\ \\ x = \sqrt{144} \\ \\ x = 12 \: m \\ \\ By \: Pythagoras \: Theorem: \\ \\ Distance \: across \: the \: pond \\ \\ = \sqrt{ {16}^{2} + {12}^{2} } \\ \\ = \sqrt{256 + 144} \\ \\ = \sqrt{400} \\ \\ = 20 \: m[/tex]

y=-3x-5
y=4x+30
PLS HELP ASAP

Answers

{y,x} = {10,-5}

Step-by-step explanation:

sorry if this dont make sense

solve equation [2] for the variable y

y = 4x +30

plug this in for variable y in equation [1 ]

(4x+30) +3x= -5

solve [1] for the variable x

7x= - 35

x= - 5

by now we know this much

y= 4x+30

x= - 5

use the x value to solve for y

y=4 (-5) + 30 = 10

solution

{y,x} = {10,-5}

Solve the system of equations.
−10y+9x=−9
10y+5x=−5

Answers

-10y+9x=-9
solve for y=9/10+9x/10
solve for x=-1+10y/9

10y+5x=-5
solve for y=-1/2-x/2
solve for x=-1-2y

Taylor and Katy repeatedly toss a fair coin. Katy wins if heads are thrown, Taylor wins if tails are thrown, and the game ends when someone has won three times. Katy is currently behind 1 to 2. The chance Katy wins is:

Answers

Answer:

25%

Step-by-step explanation:

In order to find the chance/probability that Katy wins we need to first find the probability of her winning a single coin toss and then multiply it twice. This is because Katy has 1 win already and needs two more win the entire game. Since a coin toss only has 2 options and only 1 of those outcomes will cause Katy to win, then this means that the probability of Katy winning is 1/2 or 50%. Now we can multiply this probability twice to get the probability of Katy winning the entire game

1/2 * 1/2 = 1/4 or 25%


(5-8) (1,4) m = -3
find the slope

Answers

Answer:

slope is -3

Step-by-step explanation:

m is the slope, this may have been a trick question.

by the points given the slope is 1

Need help ASAP
Thankss + BRAINLIST only for correct answer

Answers

Answer:

(2, 0)

Step-by-step explanation:

Given the simultaneous equation

2x-y = 4

3x+y = 6

Add both equation

2x+3x = 4 + 6

5x = 10

x = 10/5

x = 2

Substitute x = 2 into equation 1

From1 ;

2x-y = 4

2(2) - y = 4

4 - y = 4

y = 4-4

y = 0

Hence the solution to the system of equation is (2, 0)

Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.

y=47(0.63)
x

Answers

It represents decay because the term inside the parentheses (which is “b”) is less than one. To find the percentage rate, subtract b from 1 and multiply it by 100.

1-0.63=0.37
0.37(100)=37

So the final answer is 37% decrease.

Answer:

decay function

percent rate of decrease is 37%

Step-by-step explanation:

I assume the x is the exponent.

[tex] y = 47(0.63)^x [/tex]

The number raised to the exponent x is 0.63 which is between 0 and 1. That means that as x increases, (0.63)^x decreases. That means it is an exponential decay function.

Each unit more in x results in 0.63 being multiplied by the number.

Since 1 - 0.63 = 0.37, the percent rate of decrease is 37%.

Answer:

decay function

percent rate of decrease is 37%

PLEASE HELPPPPPPPP I BEGGGG YOU

Answers

Equal. 4 and 5/5 is just 4 + 1, which is 5. 20/4 is also 5.

Gasoline is pumped at a rate of 3 gallons per minute into a container that already has 4 gallons inside it. Write a linear function that describes the amount of gas in the container over time. Then make a graph to show the amount of gas in the container over the first 5 minutes.

Answers

Answer:

con que te gusta el poyo frito eh

The equation representing the amount of gas in the container after time [x] minutes as y = 3x + 4. After first 5 minutes, the amount of gasoline would be 19 gallons.

What is the general equation of a Straight line?

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation of a straight line in point slope form can be also written as-

[tex]y-y_{1}=m\left(x-x_{1}\right)[/tex]

We have the following problem -

Gasoline is pumped at a rate of 3 gallons per minute into a container that already has 4 gallons inside it.

We can write the equation representing the amount of gas in the container after time [x] minutes as -

y = 3x + 4

Plot the graph. At 5 minutes, the amount of gasoline would be 19 gallons.

Therefore, the equation representing the amount of gas in the container after time [x] minutes as y = 3x + 4. After first 5 minutes, the amount of gasoline would be 19 gallons.

To solve more questions on straight lines, visit the link below-

brainly.com/question/29030795

#SPJ2

does anyone know what this is ?

Answers

9514 1404 393

Answer:

  x = 2

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relations between trig functions and angle.

  Tan = Opposite/Adjacent

  tan(θ) = y/x

  Sin = Opposite/Hypotenuse

  sin(θ) = y/4

The given relation is ...

  tan(θ) = 2·sin(θ)

  y/x = 2(y/4)

  2 = x . . . . . . . multiply by (2x/y)

_____

Additional comment

Then the angle can be found from the relation ...

  Cos = Adjacent/Hypotenuse

  cos(θ) = x/4 = 2/4 = 1/2

  θ = arccos(1/2) = 60°

and the value of y is ...

  y = 4·sin(60°) = 2√3

give all relationships between angle 1 and angle 2 select all that apply​

Answers

Answer:

vertical maybe if try it and see

Need asap- will give brainliest-real answers only or you will be reported

Answers

Answer: The answer is D.

Step-by-step explanation: In this case, you have to find the LCM. The LCM is 72 because both 24 and 36 are factors of 72, and that is the first product that both 24 and 36 are factors. Brainliest plz

Answer:

I'm so sorry I'm not exactly how to figure this out but I think it would be 96 seconds. If I'm wrong please let me know

Step-by-step explanation:

please help.
is it increasing or decreasing?
only one answer please.

Answers

Decreasing, hope it helps

Answer:

Increase

Step-by-step explanation:

Hope this is correct

What is the difference from congruent figures and similar figures

Answers

Answer:

similar = only the angles are the same

congruent = angles and sides are the same

Only the angles are the same

Select the correct answer.
An irregular parallelogram rotates 360° about the midpoint of its diagonal. How many times does the image of the parallelogram coincide with its preimage during the rotation?

A.
2

B.
4

C.
6

D.
8

Answers

the correct answer is A 2

Do 1/4 and 4/16 form a proportion

Answers

Answer:

There is a difference between FRACTION and PROPORTION.

Explanation of fraction:

On a card board sheet draw a square or rectangle or any simple shape of your choice. Divide your preferred shape into 4 equal parts. One portion or one part of the divided shape is 1/4. Three (3 ) parts of the divided shape equal 3/4. Also if the shape is divided into twenty (20). One (1) part is 1/20, sixteen(16) parts equal 16/20.

Explanation of Proportion:

If an item is shared in a proportion of 3:4,it means that A gets 3/(3+4) of what is to be shared , that is 3/7 of the bulk item to be shared. B gets 4/(3+4) of what is to be shared, that is 4/7 of the bulk item to be shared.

Also if an item is shared in a proportion of 16:20 , A gets 16/(16+20)=16/36 of Bulk item while B gets 20/(16+20)= 20/36 of the Bulk item being shared.

In effect Fractions and Proportions are related but different.

In 50 trials both coins land in a shaded box twice. What is the experimental probability that both coins fall into a shaded box?

Answers

Answer:

1 / 25

Step-by-step explanation:

Number of trials = 50

Number of successes (number of times both coins land in a shaded box) = 2

Experimental probability = (number of successes / number of trials)

Experimental probability (both coins landing into a shaded box) = 2 / 50

= 1 / 25

Please answer this as soon as you can I really need this done

Answers

1) -10>x
2) yes I think
3)-x-6>-3.5 but -x-6>3.5 should also work
4) open
Left
Closed
Left
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