How many x intercepts does the polynomial function y=(x-8)(x+3)^2

Answers

Answer 1

Answer:

The answer is 2 x-intercepts

Step-by-step explanation:

To determine the x-intercepts we set y to zero and solve for x:

y=0

(x-8)(x+3)^2=0

The product of 2 factors is 0 means that one of them must be 0:

x-8=0 ⇒ x=8        →first x-intercept

or (x+3)^2=0 ⇒ x+3=0 ⇒ x=-3         →second x-intercept

Therefore the polynomial function two roots, so it has two x-intercepts x=8 and x=-3

Hope this helps :)


Related Questions

The sum of two consecutive odd integers is 96. what is the product of these integers?

Answers

Answer:

47 and 49

Step-by-step explanation:

Answer:

2303

Step-by-step explanation:

Let the smaller of the two odd integers be x.

Then the next odd integer is x + 2.

Since the sum of these 2 integers is 96, we may write x + (x + 2) = 96

Now solving for x we obtain:

2x = 94

x = 47

To find the next value we can subtract 47 from 96, which is 49.

Hence, the required two integers are 47 and 49. Multiplying them, we get a product of 2303.

hope this helps!

An art teacher had 2/3 gallons of paint to pour into containers. If he poured 1/8 gallon of paint into each container until he ran out of paint, how many containers had paint in them, including the one that was partially filled?

Answers

6 containers have paint in them.

Step-by-step explanation: Firstly we must convert them to similar fractions, so times the denominator of each fraction by the denominator and numerator of the other fraction (the denominator is the bottom number and the numerator is the top number.) So 3 times 1 is 3, 3 times 8 is 24, so the fraction of paint poured into each container changes to 3/24. 8 times 2 is 16, 8 times 3 is 24, so the total amount of paint poured is 16/24, divide the numerator of paint poured by the numerator of paint in each container, so 16 divided by 3, you get 5 remainder 1, the remainder 1 still counts as part of the next container so 6 container have paint in them.

Hope this helps.

Solve for an angle in right triangles. Round to the nearest hundredth

Answers

[tex]\bold{ANSWER:}[/tex]
39.81

[tex]\bold{EXPLANATIONS:}[/tex]

Answer:

39.8°

Step-by-step explanation:

Soh Cah Toa

Soh: sine = opposite / hyp

Cah: cos = adj / hyp

Toa: tan = opp / adj

You have 2 sides so you would use tangent

tan θ = 5/6

tan^-1 (5/6)

= 39.8°

I need help plslslsls​

Answers

Answer:

a) Positive

b) 146

Step-by-step explanation:

As the data os going up, it is a positive correlation. For part b, you need to draw a line through the general area of all the points and see how much revenue is made from raincoats.

Given points​ P, Q,​ R, and​ S, decide whether PQ and RS are​ parallel, perpendicular, or neither.
P​ (9,10) Q(10,3) R (-9,4) S (-2,5)

Answers

Answer:

Opposite Sides of Parallelogram are equal

If All opposite sides are equal , it is Parallelogram

For this You need to use distance formula that is

√(x2-x1)2+(y2-y1) 2

The ballfield has a concession stand where they sell snow cones for $0.50 each. The ingredients to make the snow cones costs $9 each day. They usually sell 35 snow cones per day. On Friday, it rained, and they only sold 20 snow cones. How much profit did the concession stand make after expenses that day?

Answers

Answer:

$4,86

Step-by-step explanation:

Profit without expenses - $0,50×20 snow cones

=$10

Let's calculate the percentage the seller takes for the ingredients daily

The seller per day makes-$0,50×35 snow cones=$17,5

This means the percent he takes for the ingredients from his/her $17,5 daily is- $9÷$17,5 ×100=51,4%.

NB-the 51,4% is the percentage of money he/she takes from the $17,5 everyday

Therefore if on the raining day he made $10

Then $10×51,4÷100=$5,14

NB-the $5,14 is the money he will take for the ingredients on the raining day

Therefore $10-$5,14=$4,86

Therefore the total profit he made with expenses is $4,86

5.
6.) Mrs. Allison is making a blanket for her horse. She has 16 feet of fabric. Mrs. Allison cut
three pieces of fabric and each piece is 4 feet. How much fabric is left?

Answers

3•4=12
16-12=4

She has 4feet left

What number would you divide by to calculate the mean of 2, 5, 4, and 3?

Answers

To determine the number that you would divide by to calculate the mean:

   ⇒ must determine the definition of the mean

Definition of Mean: a single number taken as representative of a list of numbers, usually the sum of the numbers divided by how many numbers are in the list

Since there are 4 numbers:

 ⇒ the number would you divide by to calculate the mean is 4

Hope that helps!

Answer:

answer is either 1 or 3.5

Step-by-step explanation:

first you need to add all of the numbers together then divide by the amount of numbers ( in this case there are 4 numbers)

2+5+4+3=14

14/4=3.5 which gets you the mean

but sometimes it will want you to go a step further and do this-

finding the distance from each number from the mean found like this!

3.5-2=1.5

5-3.5=1.5

4-3.5=.5

3.5-3=.5

then add these together

1.5+1.5+.5+.5=4

then 4 divided by tghe amount of numbers which is 4

4/4=1 so that is taken a step further but the answer is either

Justin recently drove to visit his parents who live 720 miles awayOn his way there his average speed was 11 miles per hour faster than on his way home (he ran into some bad weather)If Justin spent a total of 24 hours drivingfind the two rates

Answers

Answer:

48hours drivinh from two rates

Part A Using opposite operations, rewrite the equation so s2 is on one side of the equation by itself. Part B What is the opposite operation of squaring? Using this opposite operation, rewrite the equation from question 1 so s is by itself on one side of the equation. Part C The pyramid of Khufu, also known as the Great Pyramid of Giza, is one of the Seven Wonders of the World. Its volume is about 2,433,400 cubic meters, and its height is about 138 meters. Substitute these values into the equation from Part B, and solve the equation. Part D Search the Internet to find the length of each side of the base of Khufu’s pyramid. Does this length match your calculation? Part E Khafre was a son of Khufu. He also had a pyramid built, but it was not as big as his father’s. The volume of the Pyramid of Khafre is about 2,115,072 cubic meters, and its height is about 136 meters. Approximate the length of each side of the base. Part F Search the Internet to find the length of each side of the base of Khafre’s pyramid. Does this match your calculation? Part G About how much longer are the side lengths of the base of Khufu’s pyramid than Khafre’s?

Answers

Answer:

Part A: S^2= 3V/H

Part B: S =\sqrt{3\frac{v}{h} }

Part C: s=√3* 2,433,400 /138=230 metres

Part D: This website says that the length of Khufu’s Pyramid is about 230 meters. My calculation was correct.

Part E: S = √3*2,115,072/ 136 =216 metres

Part F: The length of Khafre’s pyramid is about 215.5 My calculation was a little off, but not by much.

Part G: 14 meters longer

Step-by-step explanation:

Part A:

I am going to solve:

So,

V=1/3 HS^{2}

Then, multiply both sides by 3:

V x 3= 1/3 HS^{2} x 3

So,

3V=HS^{2}

Then, we divide by H:

\frac{3V}{H}=\frac{HSs^{2} }{H}

So,

\frac{3V}{H}= s^{2}

Then switch sides:

s^{2}= \frac{3V}{H}

I hope this helps

Step-by-step explanation:

MARK A BRAIN LESS

Answer:

Part A: Inverse operations are operations that undo each other that is they result to the original number or variable.  s2 = 3V / H.

Part B: opposite operation of squaring is taking a square root. S = 3 v/h

Part C: s=√3 2,433,400 /138=230

Step-by-step explanation:

Im sorry thats all I know

What is the area of this figure?
2 yd
8 yd
4 yd
2 yd
7 yd
2 yd
8 yd
17 yd

Answers

Answer:you have to multiply all the numbers to find the area

Step-by-step explanation:

What is a good first step to solve 4x + 3 = 15?
O Subtract 3 from both sides.
Combine 3 and 15 to make 18.
O Divide by 15.
O Add 4x and 3.
Divide both sides by 4.

Answers

to get the value of x, you must subtract 3 on both sides.

In a class of 22 students, 9 are female and 7 have an A in the class. There are 8
students who are male and do not have an A in the class. What is the probability that
a student chosen randomly from the class does not have an A?

Answers

Answer:15/22

Step-by-step explanation:

what is the raidus of the cone in the diagram. height = 12 units Volume = 201.06 cubic unit

Answers

Answer:

4 units (nearest whole number)

Step-by-step explanation:

Formula

[tex]\textsf{volume of a cone}=\dfrac13 \pi r^2h[/tex]

Solution

Given:

volume = 201.06 units³height = 12 units

[tex]\implies 201.06=\dfrac13 \pi r^2(12)[/tex]

[tex]\implies 201.06=4 \pi r^2[/tex]

[tex]\implies r^2=\dfrac{201.06}{4 \pi}[/tex]

[tex]\implies r=\sqrt{\dfrac{201.06}{4 \pi}}[/tex]

[tex]\implies r=3.999980804...[/tex]

Therefore, the radius of the cone is 4 units (nearest whole number)

Help please really important!! Will make brainiest

Answers

Answer:

This is all I have right now. The ray makes me think about drawing a circle in the middle and somehow using the diameter to find the height of the triangle. It's just weird because we don't know the base and I'm not sure how to find that without at least knowing the height & using pythagorean theorem.


Although it's not much, hopefully this can steer you in the right direction! Maybe you're way smarter than me and know where to take it from here lol Good luck

118 x 2 what is the sum

Answers

Answer:

236

Step-by-step explanation:

the sum would be 236

A man holds a note of ​$6,000 that has an interest rate of 11​% annually. The note was made on March 17 and is due November 14. He sells the note to a bank on June 13 at a discount rate of 10​% annually. Find the proceeds on the​ third-party discount note.​ (Use the​ banker's rule.)

Answers

The value of the proceeds on the third party discount note for the specified condition is $5968.28

How to calculate proceeds?

Proceeds is the difference between maturity value of the original rate and the third party discounts. Or,

Proceeds = Maturity value of the original rate - Third party discounts

How to calculate the maturity value of the original rate?

Let we take:

P = principal amount on which interest will be applied.R = interest rateT= time period for which interest will be applied,

Then we get:

Maturity value = P(1 + RT) (use decimal value of R instead of percent. For that, divide the percentage value by 100 to convert it to decimal (if its in percent) ).

How to calculate the third party discounts?

Third party discount is the multiplication result of the maturity value of the original rate to the rate of interest and time period.

Thus, we get:

Third party discount = Maturity value × R × T (R in decimal form).

For this case, we're specified that:

P = principal amount on which interest will be applied = $6000Rate of interest = R = 11% = 0.11 (in decimal form) (annually)Time = from 17th march till 14th november.

Using banker's rule (which assumes 360 day year with 30 day months), we get:

Number of days from 17th march till 14th november = number of days from 17th march till 16th november - 2 = [tex]8 \times 30 - 2 = 238[/tex] (as there are 8 months in between, all of assumingly 30 days)

Converting this to year, we get:

[tex]T = \dfrac{238}{360} \approx 0.661[/tex] years.

Thus, we get:

Maturity value = [tex]P(1 + RT) \approx 6000 (1 + 0.11 \times 0.661) = 6436.26 \: \rm dollars[/tex]

And therefore, we get:

Third party discount =  Maturity value × R × T = [tex]6436.26 \times 0.11 \times 0.661 \approx 467.98 \: \rm dollars[/tex]

Thus, the value of the proceeds on the third-party discount is:

maturity value - third party proceeds = [tex]6436.26 - 467.98 = 5968.28 \: \rm dollars[/tex]

Thus, the value of the proceeds on the third party discount note for the specified condition is $5968.28


Learn more about proceeds here:

https://brainly.com/question/23530628

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If a tax of $6.75 is charged on an $84.37 purchase, what is the sales tax rate?

Answers

Answer:

8%

Step-by-step explanation:

[tex] \frac{6.75}{84.37} = .08[/tex]

A small shipping crate can hold up to 500 pounds. Kelly needs to ship two machine parts that are 255 pounds and 321 pounds. She wants to estimate to see if she can ship both machine parts in the same crate. Complete the statements.

Answers

Answer: no they don't both fit in one box.

Step-by-step explanation: first off, 200 plus 300 is 500, and both numbers are bigger. Then if you wanted to round it to the nearest 10, you would get 580. 580>500 so yeah. that won't work.

The area of the base and total surface area of a square based solid pyramid are 144 sq. cm and 384 sq cm respectively. What will be the volume of the pyramid? Find it​

Answers

Answer:

  384 cubic centimeters

Step-by-step explanation:

We are given the base area and total area of a square pyramid and asked to find the volume. The typical volume formula for a pyramid requires that we know the height of it. We can use the formula for the surface area to find the slant height of a face, and we can use the slant height to find the height perpendicular to the base.

__

face area

  total surface area = base area + area of 4 faces

  area of 4 faces = total surface area - base area

  area of 4 faces = 384 cm² -144 cm² = 240 cm²

  area of 1 face = 240 cm²/4 = 60 cm²

__

slant height

The side length of the square base is ...

  A = a²

  a = √A = √(144 cm²) = 12 cm

and the slant height of one face is ...

  A = 1/2as

  s = (2A)/a = (2×60 cm²)/(12 cm) = 10 cm

__

pyramid height

The distance from the center of the base to the edge of the base is (12 cm)/2 = 6 cm. That is one leg of the right triangle whose hypotenuse is the slant height of the face. The other leg of the triangle is the height of the pyramid:

  H² = s² -(a/2)² . . . . Pythagorean theroem solved for one leg

  H = √(10² -6²) = 8 . . . . cm . . . . height of the pyramid

__

volume

Now we know the base area of the pyramid (B), and we know its height (H), so we can use the formula ...

  V = 1/3BH

  V = 1/3(144 cm²)(8 cm) = 384 cm³

The volume of the pyramid will be 384 cm³.


Which statement best
explains whether using a calculator or determining the solution by hand would be the most
efficient way to fully simplify the expression
5/8 + 1/8 + 2/5 - 1?
•The sum of the first two fractions can easily be determined, but because the third fraction has a different
denominator, solving this
using a calculator would most likely be more efficient.
•Adding and subtracting whole numbers and fractions is always a time-consuming process to complete by hand, so
solving this using a calculator would most likely be more efficient.
•The first calculation can be done quickly by hand, so solving this problem by hand would most likely
efficient.
be more

The denominators of the first two terms cancel each other out, so solving this problem
more efficient.
by hand would most likely be

Please hurry up I am timed

Answers

Answer:

The First one

Step-by-step explanation:

PLEASE HELP WILL MARK BRAINLIEST THANK YOU

Answers

Answer:

y = -1/4x + 8

Step-by-step explanation:

original line is y - 4x = 4

y = 4x + 4

dy/dx = 4

gradient of line perpendicular to the original line

= -1/4

thus answer is y = -1/4x + 8

hope this helps!

What do scientists believe are the descendants of dinosaurs?

A. Fish
B. Birds
C. Chimpanzees
D. Rats​

Answers

Answer:

B

Birds are related to theropod dinosaurs — a group that includes the Tyrannosaurus rex.

Theropods were bipedal dinosaurs, meaning they walked on two legs, not four like many other dinosaurs. When we look at the modern-day emu or ostrich, the resemblance to these dinosaurs is striking, especially when examining their bone structure.

Birds have scales like many dinosaurs and some dinosaurs may have had feathers.

Scientists have discovered that the tissues used to produce scales in reptiles are similar to those that produce feathers in birds. This suggests that there is a common ancestor between dinosaurs, birds, and reptiles. Furthermore, birds have scales on their feet!

Birds lay eggs similar to dinosaurs and reptiles.

The similarities between bird and reptile eggs are well known, but they also share traits with dinosaur eggs.

Most dinosaur eggs are hard-shelled, just like the eggs of our modern-day feathered friends. They are also both made up of the same basic elements, calcium, and carbon, which form crystal structures that make the eggshell more difficult to crack.

How many ounces of pure alcohol should be added to 500 ounces of 35 % alcohol solution to produce a solution that is 50 %?

Pesent your answer as an integer or a reduced fraction. Do not use decimals.

Answers

Answer:

  150 ounces

Step-by-step explanation:

It is convenient to write an equation for the total amount of alcohol in the mix.

__

Let x represent the amount of pure alcohol added. Then the amount of alcohol in the mix is ...

  500(35%) +x(100%) = (500 +x)(50%)

  x = 500(15%) +x(50%) . . . . . . . subtract 500(35%)

  x(50%) = 500(15%) . . . . . . . . . . subtract x(50%)

  x = (500)(15%)/(50%) = 150 . . . . divide by the coefficient of x

150 ounces of pure alcohol should be added to produce the desired solution.


If P(A) = 1/6 , P(B) = 5/12, and P(A\B) + P(B\A) = 7/10 Find P(AUB)

Answers

Probability is the likelihood or chance that an event will occur. The probability of P(AUB) is 1/2

Conditional probability

Probability is the likelihood or chance that an event will occur. Given the following parameters

If P(A) = 1/6

P(B) = 5/12

P(A\B) + P(B\A) = 7/10

Required

p(AUB)

Recall that:

P(A|B)=P(AnB)/P(B)

P(B|A) = P(BnA)/P(A)

P(AnB)/P(B) + P(BnA)/P(A) = 7/10
12/5P(AnB) + 6P(BnA) = 7/10

42/5P(BnA) = 7/10
6/5P(BnA) = 1/10
6P(BnA) = 1/2
P(BnA) = 1/12

Determine P(AUB)

P(AUB) = P(A) + P(B) - P(AnB)
P(AUB) = 1/6 + 5/12 - 1/12
P(AUB) = 1/6 + 4/12
P(AUB) = 2+4/12
P(AUB) = 1/2

Hence the probability of P(AUB) is 1/2

Learn more on probability here: https://brainly.com/question/24756209

the temperature is -7F and drops 15F what is the temperature now

Answers

Answer:

I'm really not sure but I think it would be -22F

Step-by-step explanation:

negative 7 minus 15 is negative 22

number 9 and 10, please

Answers

Answer:9 is g and b

Step-by-step explanation:

because they all involved the answer

to the nearest hundredth how many cm are in 18in? (1 in = 2.54 cm)

Answers

Answer:

45.72

Step-by-step explanation:

Since 1 inch is 2.54, you multiply 2.54 by 18 to find 18 inches in centimeters.

Find the Product and Combine similar terms.
1. -1(7+4b) =
2. x(x²–2xy+y²) =
3. -5x(-3+x) =​

Answers

-1(7+4b) - distribute the -1 to the expression
(-1 * 7) + (-1 * 4b) — ( + and - = - )when it is multiplied
= -7 - 4b — there is no like term to added to subtracted so it will stay as like

x(x^2 - 2xy+y^2) distribute x to all
= x(x^2) - x(2xy) + x(y^2)
= x^3 - 2x^2y + xy^2 in multiplication exponent add to similar variable
No like term to connect

-5x(-3+x)
= -5x(-3) -5x(+x). (- and - is +)
= 15x -5x. similar variable x so connect the like connect like term by subtracting them
= 10x


My bro needs help asap

Answers

Answer:

A and C

Step-by-step explanation:

Other Questions
Question 6 of 10Which statement best explains why people agree to follow a government'slaws?OA. The people hope to protect the government.B. The people expect to become leaders of world governments.C. The people expect to get protection from the government.D. The people hope to gain control over the government. Social shopping focuses on the Blank______. Multiple choice question. service elements of a customer transaction user or buyer shopping experience relationship between the social outlet and the manufacturer seller and purchase transactions The British colonized India from 1858 to 1947. That means that they ruled the country. They governed the Indian people. They used India to make wealth for the British Empire. But they also developed India. They built canals and railroads. They tried to make India more like the United Kingdom. Yet India was different from the UK. It was more rustic. The ecology was different too. Some British colonists had a hard time adapting. The snakes were particularly troubling. The capital area of Delhi was overrun with venomous cobras. Encountering a cobra is quite frightening. It's even worse getting bit by one. The cobras killed many colonists. Enough died that the British government took action. They paid a bounty for every dead cobra. The program was a success at first. Many people hunted and killed the cobras for the rewards. The number of cobras dropped. The colonists felt safer. But then it became harder to catch cobras. So enterprising people started breeding them. After all, it is easier to catch a pet cobra than a wild one. News of this scheme got back to the British government. They learned that people were breeding cobras to earn rewards. This is not what the British wanted to happen. They felt foolish. They scrapped the program. Now the breeders were angry. Raising cobras can be challenging. They were doing it for the money. When the program ended, the snakes were worthless. So the breeders released them into the wild. Now there were more wild cobras than when the program started. The British plan seemed like a good idea at first. In practice though, it made things much worse. This is the cobra effect. The cobra effect is when a solution worsens a problem. Many well-intentioned programs backfire. In 2014 the City of Chicago banned lightweight plastic bags. Single use bags are bad for the environment. They end up in the water. They pollute the land. City officials wanted people to reuse bags. So they put a tax on lightweight bags. Retailers did not want to anger customers with the new tax. So they made their bags much thicker. The new bags were 150 times thicker than the old bags. The thicker bags were no longer lightweight, so they weren't taxed. But most customers did not reuse these bags. They just threw away the really thick plastic bags. This is another example of the cobra effect. 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What is the index of refraction of this liquid? what events in russia caused concern among war-weary americans Cheryl sells 21 children tickets, 23 adult tickets, and 7 senior tickets for the junior high soccer game. Write the ratio adult tickets to senior tickets in three ways. Below are some perfect square root numbers. What would the next perfect square root be?[tex] \sqrt{4} [/tex][tex] \sqrt{9} [/tex][tex] \sqrt{16} [/tex][tex] \sqrt{25} [/tex] One factor that has contributed to the survival of centenarians is. You normally pay your line cooks $22 per hour, but one has worked overtime and should be paid time and a half. What isthe correct overtime pay per hour? 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