Write an equation for the parabola when the x intercepts are (-2,0) and (-4,0)

Answers

Answer 1

Answer:

[tex]y = x^2 + 6x + 8[/tex]

Step-by-step explanation:

What is the equation of a parabola in standard form?

[tex]y = ax^2 + bx + c[/tex]

Whenever you factorise a quadratic (parabola), you are writing the parabola in terms of its x-intercepts.

Therefore, the expressions of the x-intercepts are the factors of your quadratic.

What are factors of a number?

factors are 2 or more numbers or expressions that multiply together to become a number

We have to reverse-engineer this problem to find the quadratic by:

re-writing the quadratic in terms of its factors (the x-intercepts)multiplying the factorssimplifying the product from step #2

1. Re-write the quadratic in terms of its factors

If one of the x-intercepts is -2, then the expression for said x-intercept is: [tex](x+2)[/tex]

If one of the x-intercepts is -4, then the expression for said x-intercept is:

[tex](x+4)[/tex]

2. Multiply the factors

[tex]y = (x+2)(x+4)[/tex]

[tex]y = x^2 + 4x + 2x + 8[/tex]

3. Simplify the products

[tex]y = x^2 + 6x + 8[/tex]


Related Questions

jenny got sum chiken nuggies and she ate 4 and had 16 left how many nuggies did she have

Answers

20 chiken nuggies lol

The number of three digit integers less than 501 have exactly two different digits in the presentation for (example 232 or 466) is___.

Thanks in advance:)​

Answers

Answer:

73

Step-by-step explanation:

A circle has a radius of 4. An arc in this circle has a central angle of 288º.
What is the length of the arc?

Answers

Answer:

its  [tex]\frac{32\pi }{5}[/tex] or in degree it is 1152º

Step-by-step explanation:

Which of the following equations has
infinitely many solutions?
A. 2x + 3 = 5 + 2x
B. 2x + 3 = 5 + 3x
C. 3x - 5 = -5 + 2x
D. 3x - 5 = -5 + 3x

Answers

The One With Inifinetely Many Solutions is D. 3x-5=-5+3x are both the same.Meaning that no matter Which Value u Put For X u will get the same Answer On Both Side
D
Hope this helps you

Allison collected books to donate to different charities. The following expression can be used to determine the number of books each charity received.



(12 + 4 • 5) ÷ 2



Based on this expression, how many books did each charity receive?

Answers

The answer is 16


Explanation

(12+4•5)divided by 2

(12+20)divided by 2

32 divided by 2

=16

A research study examined the blood vitamin D levels of the entire US population of landscape gardeners. The population average level of vitamin D in US landscapers was found to be 30.8 ng/mL with a standard deviation of 4.371 ng/mL. Assuming the true distribution of blood vitamin D levels follows a normal distribution, if you randomly select a landscaper in the US, what is the likelihood that his/her vitamin D level will be between 36.84 and 39.73 ng/mL

Answers

Answer:

0.0631 = 6.31% probability that his/her vitamin D level will be between 36.84 and 39.73 ng/mL

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The population average level of vitamin D in US landscapers was found to be 30.8 ng/mL with a standard deviation of 4.371 ng/mL

This means that [tex]\mu = 30.8, \sigma = 4.371[/tex]

What is the likelihood that his/her vitamin D level will be between 36.84 and 39.73 ng/mL?

This is the pvalue of Z when X = 39.73 subtracted by the pvalue of Z when X = 36.84.

X = 39.73

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{39.73 - 30.8}{4.371}[/tex]

[tex]Z = 2.04[/tex]

[tex]Z = 2.04[/tex] has a pvalue of 0.9793

X = 36.84

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{36.84 - 30.8}{4.371}[/tex]

[tex]Z = 1.38[/tex]

[tex]Z = 1.38[/tex] has a pvalue of 0.9162

0.9793 - 0.9162 = 0.0631

0.0631 = 6.31% probability that his/her vitamin D level will be between 36.84 and 39.73 ng/mL

A store randomly samples 602 shoppers over the course of a year and finds that 144 of them made their visit because of a coupon they'd received in the mail. Construct a 95% confidence interval for the proportion of all shoppers during the year whose visit was because of a coupon they'd received in the mail. (Round your answers to three decimal places.)

Answers

Answer:

well as a percent its 23.92

Step-by-step explanation:

DUE TOMORROW HELP!!!!!!

Shannon is planning to make a model of a pyramid for
a geography project. The length of each edge of the
base is 11 in., and the height of each triangular face
8.4 in. How much cardboard will Shannon need to
make the model pyramid?

Answers

Answer:

c

Step-by-step explanation:

edge

The answer to your question is C

Hunter has a rectangular prism with a volume of 1,155 cubic cm. He measures the length of the prism as 5 1/2 cm and the width of the prism as 10 1/2 cm.
The height of Hunter’s rectangular prism must be

Answers

Answer:

John is buying shirts for his softball team.  He will pay a one-time processing fee of $27.50 and $12.75 per each shirt ordered.  Which fffadasdequation can be used to find y, the total cost to buy xshirts? John is buying shirts for his softball team.  He will pay a one-time processing fee of $27.50 and $12.75 per each shirt ordered.  Which equation can be used to find y, the total cost to buy xshirts? John is buying shirts for his softball team.  He will pay a one-time processing fee of $27.50 and $12.75 per each shirt ordered.  Which equation can be used to find y, the total cost to buy xshirts? vv

Step-by-step explanation:

Which category do both of these shapes belong to

Answers

Answer:

D. Parallelogram

Step-by-step explanation:

Answer:

The answer is Parallelgram(D)

two pairs of parallel sides in a quadrilateral

hope it helps...

An object travels along a horizontal straight path at a constant rate. The object travels 1/2 of the
length of the path in 3/4 second. At that rate, how many seconds does it take the object to travel the
entire length of the path?

Answers

Answer:

1.5 seconds

Step-by-step explanation:

Given that,

The object travels 1/2 of the  length of the path in 3/4 second.

We need to find the time it takes the object to travel the entire length of the path.

1/2 of length = 3/4 seconds

Entire length,

[tex]=\dfrac{3}{4}\times 2\\\\=1.5\ s[/tex]

So, it will take 1.5 seconds to cover the entire length of the path.

What is the slope and y-intercept of this line?
y=3x + 7

Answers

Answer:

the slope is 3 and the y-intercept is 7

Step-by-step explanation:

in slope-intercept form, y=mx+b, m = the slope, and b = the y-intercept

Hello there!

The equation of this line is written in slope-intercept form, which looks like so:

y=mx+b

Where

m is the slope (-1/2 for this line)

b is the y-intercept (7)

Hope it helps.

~A lonely teen who helps others and listens to "How Far I'll Go

-Grace ;-)

Good luck.

A board game has two spinners. The first spinner has 4 equal areas labeled 1, 2, 3 and 4. The second
spinner has 3 equal areas that are labeled: Move Ahead, Move Back, and Do Not Move. What is the
probability the first spinner will land on a 2 and the second spinner will land. on Move Back? Pls help I’m begging u pls I need this pls help have a good day pls help

F.1/2
G.1/4
H.1/8
J.1/12

Answers

Answer:

J

Step-by-step explanation:

prob of landing 4 x prob of landing move back

1/4 x 1/3 = 1/12

A student purchased 9 binders for $11.07.

Use the drop down to answer the question.

Which equation can be used to find the cost of each binder, b, in dollars?

Answers

Answer:

11.07/9

Step-by-step explanation:

Math

What is the better deal? 6 for $6.99 or 24 for $13.99

Answers

6.99/6 =1.16
13.99/24=.58
Therefore better to buy more as the unit price per item is cheaper

Answer:

24 for $13.99

Step-by-step explanation:

Find the cost of 1 for both deals.

6 for $6.99. Divide 6.99 with 6:

6.99/6 = 1.165

~$1.17 for one.

24 for $13.99. Divide 13.99 with 24:

13.99/24 = ~0.582

~$0.58 for one.

24 for $13.99 is the better deal, by ~59¢.

IF THERe ARE 8 Cats, 12 dogs
and 4 RABBITS THEN
ratio 1;3 IS
FOR?

Answers

Answer:

1:3 ratio is for cats

Step-by-step explanation:

ratio of cats: no. of cats/ no. of rabbit+ cats+dogs

= 8/8+12+4

= 1/3

= 1:3

Hahaha Kauai’s rabis mosni 1:3-7

What is 4.9 subtract 0.6

Answers

Answer: 4.3

Step-by-step explanation:

4.9-.6=4.3

1/3x + 2 =4 I need it ASAP​

Answers

6! I hope this helps!

Answer:

x=1/6 or 0.16

Step-by-step explanation:

x has to be whatever makes the equation true.

does 1/3 +2= 4 alone no does it = 4 when you do the 1/3(1/6) yes

-27 +2+ 23р - Зр
Hurry please

Answers

Answer:

20p - 25

Step-by-step explanation:

-27 +2+ 23р - Зр

20p - 25

Answer:

-25+20p

Step-by-step explanation:

Add -27 and 2

-25+23p-3p

Subtract 3p from 23 p

-25+20p

Hope this helps! If so brainiest, please?

Thanks!!!

Figure A ~ Figure B
Figure A
Figure B
1 ft
3 ft
V = 6 cu ft
Find the volume of Figure A.

Answers

Answer:

the answer is

162ft3

Step-by-step explanation:

Cassie paid $276.45 for 5 months of cell phone service. At that rate, how much will Cassie pay for a full year of cell phone service?

NO ANSWERS FROM UNKNOWN FILES PLEASE OR I'LL REPORT IT!!!

Answers

It’s 663.48 because if you divide 276.45 by 5 than you get 55.19 and multiply that by 12 and it’s 663.48

Plz, give me an answer thanks :)

Answers

Answer:

D

Step-by-step explanation:

Sketch the graph of y=-2x² + x + 1 using your graphing calculator. What are the x-intercepts of this graph?
a. (1, 0) and (-0.5, 0)
c. There are no x-intercepts
b. (-2.5, 0) and (-2,0)
d. (-1.5, 0) and (-0.5, 0)
Please select the best answer from the choices provided
A
B
0
D

Answers

Answer is going to be A.
The answer to your question is A.

Task: Volume & Surface Area
Instructions
The following question is a two part question. In the first part, you will be
asked to solve for volume. In the second part, you will be asked to solve for
surface area
Complete each of the 2 activities for this Task.
Activity 1 of 2
A storage chest is shown. What is the volume in cubic feet?
2 feet
2 feet
4.5 feet
Activity 2 of 2
A storage chest is shown. What is the surface area in square feet?
2 feet
2 feet
4.5 feet
help me please!!! someone help me out please!!!!!!

Answers

Okay so starting off I get that this math can be really confusing but you’ll get it if you keep working at it. Don’t give up you got this. For part it it is asking for the volume in cubic feet to do this you multiple H•W•L

H=hight

W=Width

L=Length

Now you don’t really need to know exactly which side is the H,L, or W but since you only have 3 sides with domentions you know that you multiply all three sides now it doesn’t matter what order you do it in.

Please respond if this helped for part A. You got this keep your head up.


In the equation 5(x2 + 6x) + 3 (y2 - 2y) = 77, complete the square on x by adding within the first parentheses. Complete the square on y by
ning Guide
adding within the second parentheses. Thus, add to the right side of the equation.
In the equation 5(x2 + 6x) + 3(y2 - 2y) = 77, complete the square on x by adding ?????what within the first parentheses. Complete the square on y by adding ????? What

within the second parentheses. Thus, add to the right side of the equation.

Answers

Answer:

a=5

Step-by-step explanation:

Answer:

7                                                                                                   8

Step-by-step explanation:

the triangles shown are similar. the side measuring 4 in. corresponds to the side measuring 9 in. what is the ratio ( smaller to larger )

Answers

Answer:

[tex]Ratio = \frac{9}{4}[/tex]

Step-by-step explanation:

Given

[tex]Small =4in[/tex]

[tex]Large = 9in[/tex]

Required

The scale ratio

From small to big, the scale ratio is:

[tex]Ratio = Big : Small[/tex]

[tex]Ratio = 9in:4in[/tex]

Cancel out the units

[tex]Ratio = 9:4[/tex]

Express as fraction

[tex]Ratio = \frac{9}{4}[/tex]

The doctor tells Emily that she needs to exercise enough to burn at least 200 calories each day. She prefers kickboxing or swimming. While kickboxing she burns 10 calories per minute, and while swimming she burns 7 calories per minute.

Answers

Answer: 10x+7y _>

200

Step-by-step explanation:

The best-fit equation is 10x+7y _> 200

What are fit equations?

Fitting an equation to data is finding a linear, quadratic, exponential, or any other sort of function whose graph includes, or comes as close as possible to, a given set of data in the form of ordered pairs. The relative predictive power of a model shows how accurately the model is related to the data.

The theoretical pattern best accounts for the relationships among variables in a data set. For example, a regression equation having the best fit to sample data is the one that minimizes differences between observed and predicted values.

Learn more about the equation here: https://brainly.com/question/1214333

#SPJ2

Look at the photo for an Easy question and get easy points

Answers

Answer:

90

Step-by-step explanation:

why my answer has to be 20 characters long? :)

Answer:

the answer is 90

Step-by-step explanation:

Hope I helped!

the length and width of a rectangle are represented by a 2x+3 and x-1 respectively, which of the following represents the perimeter of the rectangle.

Answers

Its very simple just apply the rule then apply the equations he gave you i hope u understand it n goodluck

Five chicken nuggets have 180 calories. How many calories are in 7 chicken nuggets?
0 36 calories
0 252 calories
0 900 calories
O 1, 260 calories

Answers

Answer:

The correct answers 252 calories

Step-by-step explanation:

How I figured it out was by dividing 180 by 5, which gave me 36. Then 36(7) which equaled out to be 252.

Other Questions
Which term describes RT? How did the Supreme Court ruling on the Civil Rights Cases of 1883 affect the rights of African Americans?It led to the drafting and passage of the Civil Rights Act.It led to a sharp increase in African American voting.It opened the door for legal segregation in the South.It led to unfair sharecropping contracts in the South. 1. Which expression is equal to 815-97?A. 815-(-97)B. 815+97C. 815+(-97)D. 97-815 english news any three Question 9 of 20Which phrases does not use descriptive language that appeals to the senses?A. The warm scaliness of a snakeskinB. The sudden echoing drip of waterC. The blood-red dullness of the early moonD. The three-hour road trip A 3-column table with 4 rows titled 90-Day Forecast. Column 1 is labeled Weather Type with entries wind, rain, clouds, sunshine. Column 2 is labeled Predicted frequency with entries 9, 18, 27, 36. Column 3 is labeled Observed frequency with entries 12, 15, 33, 30.The table shows the results of the experiment to determine the 90-day weather forecast. How does the experimental probability compare to the theoretical probability?The theoretical probability for rain is 1/5. The experimental probability for rain is .The actual weather is the theoretical probability. How are the concepts of race and ethnicity the same?A. They are ways of categorizing people.B. They are based on genetic patterns.C. They are based on physical traits.D. They are ways of socializing people. an arrow is shot horizontally from the top of a tower at a speed of 15m/s and hits the ground with a speed of 25m/s. calculate the height of the tower Work out each of the following:1) 5 +23= 2) 16 + 15= 3) 40 40= 4) 18 27= 5) 52 + 90=HELPPP PLEEEAAAASSSSEEEE!!!! :(I need those answers before 09:30 pleeeaaaaassssseeee can someone help me ?? Morgan saw 12 blue, 18 red, and 40 white cars drive by her house in 1 hour. What is the experimental probability that the next car that drives by her house will not be a white car? Round to the nearest hundredths. What is the measure of \angle A in the triangle above? PLEASE HELP PLEASE ASAP What is the most likely purpose of the following lines?"Half sunk, a shattered visage lies, whose frown,And wrinkled lip, and sneer of cold command..."to show that ancient sculptors were superior to modern ones in their ability to capture the "passions"to emphasize the desolate nature of the desertto describe the disposition of the person the statue portraysto show that Ozymandias was a weak leadernone of these C3H8(g) + 5O2(g) 3CO2(g) + 4H2O(g) H = -2220 kJ If 865.9 g of H2O is produced during this combustion, how much heat is generated? Do not include the negative sign in your answer. Express the answer to the nearest whole number, or round to the nearest ones place. The molar mass of H2O is 18.02 g/mol. Tell whether the angles are adjacent or vertical. Then find the value of x. What should you consider when comparing population growth (or decline) over different intervals of time? Hint: What factors influence population growth or decline? Explain fully and provide examples where needed. I need help. I'm giving brainliestMarlon needs to save $135 for new equipment. How much money does he have if has 75% of the amount? Can someone please help me with this question? PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!