Explain relationship between the factors of a quadratic expression, the roots of the related quadratic equation, and the x-intercepts if the graph of the related function

Answers

Answer 1

Step-by-step explanation:

So, let's use x2 - 3x - 28 as an example.

 

It's factors are (x - 7)(x + 4).

 

The roots are the x-values that make our expression equal 0. In order for x2 - 3x - 28 to equal 0, either of our factors need to equal 0, since 0 times anything is 0.

 

x2 - 3x - 28 = 0

(x - 7)(x + 4) = 0

 

x - 7 = 0

x = 7

(7 - 7)(7 + 4) = 0(11) = 0

 

x + 4 = 0

x = -4

(-4 - 7)(-4 + 4) = -11(0) = 0

 

That gives us two points on our graph, (7,0) and (-4,0). Where are those? On the x-axis! Thus, there are our x-intercepts.

 

By the way, for the future, along the x-axis, y = 0, so if you are asked for the x-intercepts (or roots), set y = 0 and solve for x.

 

Along the y-axis, x = 0, so if you are asked for the y-intercepts, set x = 0 and solve for y.

 

y = 02 - 3(0) - 28

y = -28

 

So, the y-intercept(s) of our same equation is y = -28, or (0,-28).

 

Boom.

Answer 2

Answer:

The x-intercepts are happen are when y = 0. If you tried to substitute y = 0 into a quadratic in the standard form you can not use traditional methods for solving for x.

Y=0 when looking for an x-intercept. Doing the factored form you are finding the x-intercepts. You always want the equation to equal 0 then factor out the equation till you get the numbers for the x-intercept.


Related Questions

What is the radius of the table, rounded to the nearest half foot? ____ feet

Answers

Answer:

3.5 feet.

Step-by-step explanation:

r=C/2π

r=22/2π

r=22/6.28

r≈3.5

The answer that you will be needing is that it is 3.5 feet

Giving brainliest!!!! For correct answer give me a explanation not a long explanation tho.

Answers

Answer:

The answer is A

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Please give me brainliest

give the slope between the points (-4,-1) (-7,-10)

Answers

7 times 26 equal 182
7 times 26 equal 182

help, please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

it’s the number 3 hope this helps

Answer:

b

Step-by-step explanation:

When finding the constant of proportionality, divide the +/- from "y", divided by the +/- from x.

Jayce is wrapping a box in the shape of the triangular prism shown below. How much wrapping paper will be needed to wrap this box?

Answers

The answer is 327 sq in
I think it’s 327 square

Mr. Thaxton has two daughters. The sum of their ages is twenty-one. The product of their ages is one hundred ten. How old is Mr. Thaxton's youngest daughter?

A.) 9
B.) 10
C.) 11
D.) 12

Answers

Answer:

the answer is 10

Step-by-step explanation:

Have no explanation

Answer:

B. 10

Step-by-step explanation:

B. 10 Hope this helps

What is the measure of 1,2, and 3

Answers

Answer

You did not give the whole picture, soory

Step-by-step explanation:

Answer:

1 = 104

2 = 33

3 = 71

Step-by-step explanation:

Angle 1 is 180 - 57- 19  = 104 from supplementary angles

Angle 2 is 90 - 57 = 33 from complementary angles

Angle 3 is 90 - 19 = 71 from complementary angles

If a person rides their bike 40 miles in 5 hours, then they rode their bike at a speed of ___ Mph?

Answers

Answer:

8 mph

Step-by-step explanation:

Just divide 40 by five and you’ll get 8, 8 miles per hour

The acceleration of segment D is____ m/s2.



Rank segments A, B, and C from least acceleration to greatest acceleration.

Least:







Greatest:

Answers

Answer:

It wont load sorry maeby try putting the question again maeby it will work or is it my end.

Step-by-step explanation:

Answer:

Step-by-step explanation:

a=dv/dt

A=15/1=15

B=5/1=5

C=0/2=0

D=-20/1=-20

So from least to greatest

-20, 0, 5, 15

D, C, B, A

do you think a honda is a good car?

Answers

I think ots a fair car tbh

i doo!! but bmw is fire too

I need help please !!

Answers

Answer:

59

Step-by-step explanation:

it has the most dots

Can you help me with question 5 on i-Ready

Answers

the last option 4 hours, $60

Answer:

4 hours, for $60

Step-by-step explanation:

10 x 4 = 40 + 20 = 60

15 x 4 = 60

How can you model geometry figures to solve real-world problems? Complete the explanation to answer the question. You can use drawings to plan rooms or gardens since the (Ratio/Dimension/scale) of the drawing is a (Ratio/Dimension/scale) between 2 sets of measurements. It shows how each (Ratio/Dimension/scale) in a drawing relates to the actual object.

( In this text, The 3 words in each Parenthesis are each an option to answer)

Answers

Answer: I think that it is

1. Scale

2. Dimension

3.Ratio

Step-by-step explanation:

Hope this helps and pls mark me as brainlyest

Answer:

The scale is the ratio of the drawing size to the actual size of the object. The ratio of the length of the scale drawing to the corresponding length of the actual object is called a scale factor. The ratio of any two corresponding lengths in two similar geometric figures is called a scale factor.

I need help ahhhhhh!

Answers

X=12 12(y)=-96 y=-8
12-8=4

Answer:

y=1 and x=1

Step-by-step explanation:

they are just variables they don't mean anything because any number multiplied by 1 is that same number

EX: 57 x 1 = 57

21 x 1 = 21

hope that helped you!

Is t = 12 a solution to the inequality t ≥ 12

Yes or No

Answers

Answer:

Yes, it is a solution.

Step-by-step explanation:

Since t ≥ 12 means that t needs to be equal to or greater than 12, t = 12 works as a solution because it is equal to 12.

Yes. What he said on top of me

i need help its line plots soooo yeah help pls

Answers

part a) 2 days

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

Answer:

B

Step-by-step explanation:

the line plot has an X to represent the amount of times the piece of data occurred I counted 2 x's

Explain how you can tell whether a group of ratios represents a proportional relationship.

Answers

Answer:

To see if multiple ratios are proportional, you could write them as fractions, reduce them, and compare them. If the reduced fractions are all the same, then you have proportional ratios.

(Hope this helps!! Btw, I am the first to answer.)

A group of ratios represents a proportional relationship. When the connection is proportional if the ratio remains constant. Explanation is given.

What is proportional relationship?

A proportional relationship is a relationship between two expressions and where changes in one expression means some constant change in the other expression as well. Generally, it is represented as x/y = k, where x and y are two expressions and k is constant.

Ratio:

The numerical relationship between two values that demonstrates how frequently one value contains or is contained within another.

An ordered pair of integers a and b,

represented as a / b, is a ratio if b is not equal to 0.

A proportion is an equation that sets two ratios at the same value.

The ratios between the two variables should be considered in order to determine whether a relationship is proportional.

The connection is proportional if the ratio remains constant.

Therefore, the relationship is proportional if the ratio remains constant.

To learn more about the proportional relationship;

brainly.com/question/28777033

#SPJ2

PLZ HELP!!!!!!!!!!!!

Answers

Answer:

Maria has 24 if her friend has 6, she has 40 if her friend has 10, and she has 80 if her friend has 20.

Step-by-step explanation:

if she has four times as many as her friend, you multiply the amount by 4 and theirs you're answer

I need help :) please and thank u if u get it right i will give u brainlist :)

Answers

Answer - y=-2/3x+4 :)

Aaron purchased a 25
pound bag of cat food.
He paid $21.00 for the
bag. What is the price
of the dog food per
pound? Enter your
answer in correct money
format.

Answers

Answer1.19 pounds per Dollar

Step-by-step explanation:

its just 25/21

it’s 1.19 dollars per pound

Mon poured 100 kg of water into 10 kg of salt. He made ___ kg of ___% salt solution.

Answers

Answer:

10kg of 10%

Step-by-step explanation:

I don't get one-step and two-step equations, can someone explain? brainliest to the one that gave the best explanation

Answers

A one-step equation is an algebraic equation you can solve in only one step.
A two-step equation is -16 = x/4 + 2. It’s a two step equation since you have to subtract 2 from both sides and then multiply both sides by 4.

Help me this one is for 10 points.

Answers

Answer:

its 3 square centimeters

Answer:

3

Step-by-step explanation:

Formula for finding triangle 1/2 bh (Half times the base times the height). So multiply 3 x 2 to get 6. then divide 6 by 2 to equal 3.

Hope this helps :)

Create a set of data that have a perfect negative correlation.

Answers

Answer:

A student who has many absences has a decrease in grades. As weather gets colder, air conditioning costs decrease. If a train increases speed, the length of time to get to the final point decreases. If a chicken increases in age, the amount of eggs it produces decreases.

what does -(-(-(-(-(8))))) mean​

Answers

Answer:

Never saw that but my guess is -8 because there is an uneven number of minus signs

Answer:-8

Step-by-step explanation:

Match each of the following inequalities to a graph below.

questions:
1. x < -2 (x = A, B, C, D, E, F, or G)
2. x ≥ -4 (x = A, B, C, D, E, F, or G)
3. -12 ≥ x (x = A, B, C, D, E, F, or G)
4. -19 < x (x = A, B, C, D, E, F, or G)

Answers

Answer:

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

1. D
2.G
3.C
4.B
hope this helps

I WILL GIVE YOU 100 POINTS IF YOU HELP ME ON THIS PLEASE ASAP!

Answers

Answer:

4 is the answer. My previous answer got deleted.

2 x 4 divided by 2 = 4

Step-by-step explanation:

How do I solve the surface area of a hexagonal prism when the hexagon base has an area of 509 in2 and a height of 14 in? I don't need the answer I need an explanation.

Answers

Answer:

use the formula SA = 6(a + h), where s = side length of the base, a = apothem length, and h = height of the prism.

i need help please please

Answers

Answer:

The rectangle is the only one.

Step-by-step explanation:

The rectangle- the shape you selected is correct.

A middle school football player, Bo, is just learning how to kick field goals. Currently, he only makes 1/3 of his kicks. A die is being used to simulate the result of Bo's kicks where the numbers 1 or 2 represent a made field goal the numbers 3, 4, 5, or 6 represent a missed field goal. Use the following 20 trials of rolling a fair die to answer the question.

Based on the outcomes given, what is the the estimate of the probability that Bo does not make any field goals? Write your answer as a fraction

Answers

Answer:

13/20 simplified and 52/80 not simplified

Step-by-step explanation:

So this is pretty simple.

First: Write out the problem on a piece of paper.

Second: Cross out all the 1's and 2's because those represent a made field goal.

Third: Count the number of 3's, 4's, 5's, and 6's.

Fourth: That gets you to 52. This is your numator.

Fifth: Count the total number of 1's, 2's, 3's, 4's, 5's, and 6's. That is 80. That is now your demoinoator.  

Sixth: 52/80 is simplified to 13/20.

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