Melody is factoring the expression x^3 - 2x^2 + 4x - 8. Her first two steps are shown.

x^3 - 2x^2 + 4x - 8 = x^2(x - 2) + 4(x - 2)
= (x^2 + 4)(x - 2)

What should Melody do next to finish factoring the expression?

A. Melody has completely factored the expression.

B. Melody should rewrite (x^2 + 4) as (x - 2)^2

C. Melody should rewrite (x^2 + 4) as (x - 2)(x + 2)

D. Melody should rewrite (x^2 + 4) as (x + 2)^2

Answers

Answer 1

Answer:

A, melody completed factoring

Step-by-step explanation:

Answer 2

Melody has completely factored the expression which is correct option(A).

What is expression?

Expressions is the defined as mathematical statements that have a minimum of two terms containing variables or numbers.

Given the expression,

⇒ x³ - 2x² + 4x - 8

⇒ x²(x - 2) + 4(x - 2)

⇒ (x² + 4)(x - 2)

So, factors of given expression are (x² + 4)  and (x - 2).

Hence, Melody has completely factored the expression.

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Related Questions

Practice Makes Perfect
This practice exercise should be done by the students independently, after
completing the chapter.
1. Discover the pattern and extend it.
ABC
CBA
DEF
FED
b.
18A
20B
22C
24D
D001
001
0001
C.
460
4400
4200
40000
d.
9Z
15Y
21X
27W​

Answers

Answer:

A.

ABC

CBA

DEF

FED

Step-by-step explanation:

I hope it's help

#lets_help_each_other

Alice was rock climbing. She climbed to a height of 22 feet. Next, she descended 8 feet. Then, she ascended another 34 feet. What was
Alice's elevation?

Answers

Answer:

48 brainlest plz

Step-by-step explanation:

22-8=14

14+34=48

Can someone plz explain to me how to do this !? Geometry

Answers

The scale factor is 3

if you look at the graph its y3 x3 the larger one is y9 x9 if you divide the two you get 3

can you please give brainliest

Write an equation of the line passing through the point (8,-5) that is parallel to the line 2x – 6y=-3.
y = mx + b

Answers

Answer:

y=[tex]\frac{1}{3}\\[/tex]x - [tex]\frac{23}{3}[/tex]

Step-by-step explanation:

Ist put the first equation in y=mx+b form

2x-6y=-3

subtract 2x on both sides

2x-6y=-3

-2x    =-2x

-6y=-2x-3

then divide both sides by -6

-6y=-2x-3

-6

that gives y=[tex]\frac{1}{3}[/tex]x+[tex]\frac{1}{2}[/tex] for the original equation

Then plug in the point and slope in y=mx+b

Use the same slope since the lines are parallel

(-5)=([tex]\frac{1}{3}[/tex])(8)+b

-5=[tex]\frac{8}{3}[/tex]+b

then subtract 8/3 on both sides and that gives

-23/3 = b

then you can make the new equation using -23/3 for you b and 1/3 for your slop m

What are the angles x?

Answers

Answer:

TOP LEFT TRIANGLE:  x=28°

BOTTOM LEFT TRIANGLE:  x=90°

TRIANGLE ON THE RIGHT:  x=34°

Step-by-step explanation:

TOP: the triangle on the right has 90 and 39.  That makes the third one 51. It’s supplement is 129.  129+23=152. 180-152=28. X=28°

BOTTOM: 180-119=61.  61+29=90.  180-90=90.  X=90°

RIGHT: right triangle has 90 and 70.  90+70=160. 180-160=20

180-70-41-15-20=34°

Which representation has a constant of variation of –2.5?


A
x
–2
–3
–4
–5
y
–5
–7.5
–10
–12.5


B
5 x + 2 y = 0


C
y = negative 2.5 x + 1


D
On a coordinate plane, a line goes through points (negative 1, 0) and (0, negative 2).

A
B
C
D

Answers

Answer:

ez b no doubt

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

The money spent, M , purchasing burritos at a particular fast food restaurant varies directly with the number of burritos purchased, B. When 12 burritos are purchased, $45 is spent. How much money is spent if 28 burritos are purchased? S​

Answers

Answer:

multiply 3.75 to 28 and it equals 105

Step-by-step explanation:

The amount of money spent to buy 28 burritos will be $105.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that the money spent, M, purchasing burritos at a particular fast food restaurant varies directly with the number of burritos purchased, B. When 12 burritos are purchased, $45 is spent.

The money required to purchase 28 burritos will be calculated as:-

12 burritos = $45

1 burrito = 45 / 12

28 burritos = ( 45 / 12 ) x 28

28 burritos = $105

Therefore, the amount of money spent to buy 28 burritos will be $105.

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7
Felicia is making trail mix. The recipe calls for 3 cups pretzels and 1.5 cups of m&m's.
She wants to make 27 cups of trail mix for a birthday party. How many cups of pretzels and m&m's does she need?

Answers

Answer:

81 Cups of Pretzels and 40.5 Cups of M&M's

Step-by-step explanation:

p= Pretzels

m= M&M;s

3p+1.5m= 1

3(27)+ 1.5(27)

81 + 40.5

Please help

An isosceles triangle is shown. Which two angles must be congruent?

Answers

Answer:

C. Angle I and Angle H

Step-by-step explanation:

The congruncy lines on either side of the triangle show that.

An isosceles triangle has two congruent angles.

The two angles that must be congruent are: [tex]\mathbf{\angle I \cong \angle H}[/tex]

From the figure, we observe that side lengths HJ and HI are congruent.

The above highlight means that: the angles at the other points of HJ and HI.

The common point of HJ and HI is H, while the other points are J and I

So, the angles at J and I are congruent.

Hence, the correct option is (c)

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1. Which of the following statements best describes the patterns and trends of the Periodic Table?
a. The atomic number and atomic mass decrease from left to right across a period; energy levels
decrease from top to bottom down a group
b. The atomic number and atomic mass increase from left to right across a period; energy levels
decrease from top to bottom down a group.
c. The atomic number and atomic mass increase from left to right across a period; energy levels
increase from top to bottom down a group.
d. The atomic number and atomic mass decrease from left to right across a period; energy levels
increase from top to bottom down a group.

Answers

Answer:

Its C

Explanation

c. The atomic number and atomic mass increase from left to right across a period; energy levels

increase from top to bottom down a group.

All the fudge machines at a chocolate factory work at the same rate. Six machines working simultaneously can complete a big order in 22 hours.
a
How many hours would it take to fill the order if the number of working machines decreased by factor of 2?

Answers

Answer:

44 hours

Step-by-step explanation:

just do 22 x 2

where does 17 lies between

Answers

Answer:

it lies between 16 and 18

Step-by-step explanation:

Answer:

16 and 18

Step-by-step explanation:

A rectangle has side lengths 6 cm and 9 cm. What would the side lengths of the image be after a dilation of 2.25? Explain your reasoning.

Answers

Answer:

The side lengths of the image after the dilation = 13.5 cm and 20.25cm

Step-by-step explanation:

A rectangle has side lengths 6 cm and 9 cm. What would the side lengths of the image be after a dilation of 2.25? Explain your reasoning.

Dilation can also be referred to as scale factor

6cm × 2.25 = 13.5 cm

9 cm × 2.25 = 20.25 cm

The side lengths of the image after the dilation = 13.5 cm and 20.25cm

The second angle of a triangle is 3 times as large as the first. The third angle is 50º more than the first. Find the measure of the smallest angle.​

Answers

Answer:

26°

Step-by-step explanation:

m∠A + m∠B + m∠C = 180°

x + 3x + (x+50) = 180

5x + 50 = 180

5x = 130

x = 26°

HELP PLEASE !!!!!!!!!!!!!!!!!!

Answers

Answer:

?

Step-by-step explanation:

Can someone please tell me answerrrrrrr

Answers

Answer: B

Steps: $208.08

PLz mark brainliest:)

Which graph represents a function?

Answers

The third graph represents a function because it passes the vertical line test (VLT). (:

Ellie read an article claiming that 10% of people in her county were senior citizens, and she thought that it may be higher for residents in her city. She took a random sample of 225 people from her city and found that 36 of them were senior citizens. She wants to test H0:p=0.10 versus Ha:p > 0.10, where p is the proportion of people in her city that are senior citizens. Assuming that the conditions for inference have been met.

Required:
Calculate the test statistic for Ellie's significance test.

Answers

Answer:

The  value is [tex]z = 3[/tex]

Step-by-step explanation:

From the question we are told that

   The  population proportion of senior citizens is  [tex]p  = 0.10[/tex]

   The  sample size is  [tex]n  = 225[/tex]

   The  number of senior citizens is  k =  36

   The  null hypothesis is  [tex]H_o :  p =  0.10[/tex]

    The alternative hypothesis is  [tex]H_a : p > 0.10[/tex]

Generally the sample proportion is mathematically represented as

     [tex]\^{p} =  \frac{k}{n}[/tex]

=>   [tex]\^{p} =  \frac{  36 }{225}[/tex]

=>  [tex]\^{p} =0.16[/tex]

Generally the test statistics is mathematically represented as

     [tex]z =  \frac{\^{p}  -  p }{\sqrt{\frac{p(1 -p )}{n} } }[/tex]

=>    [tex]z =  \frac{0.16 -  0.10 }{\sqrt{\frac{p(1 -0.10)}{225} } }[/tex]

=>    [tex]z = 3[/tex]

Answer:

P-value ≈ 0.0588

Step-by-step explanation:

two angles of a triangle measure 12° and 40° what id the measure of the third angle of the triangle

Answers

Answer:

128

Step-by-step explanation:

The sum of angles in the triangle is 180 degrees

12 + 40 + x = 180

52 + x = 180

x= 180 - 52 = 128 degrees

(x is the third angle of the triangle)

Credit: study1104 for the answer: they originally answered this question, though i copy and pasted to help you with your assignment! Hope this helps, wanted to include credit so your aware where the answer came from!!

Always, Sometimes, or Never?

5x>0

Answers

Answer:

Sometimes

Step-by-step explanation:

Molly has 9 cups of flour. If this is 3/4 of the number she needs to make bread, how many cups does she need?


use a tape diagram by reading it backward, draw a tape diagram and label it unknown.

Answers

Answer:

She needs 12 cups of flour to make bread

Step-by-step explanation:

9 divided by 3 is 3. So you add 3 to 9 and you get 12. So yeah!

Factorise fully
-x - 8


please do quick! will mark brainiest!​

Answers

Answer:

-(x+8)

Step-by-step explanation:

-x - 8

-1 *x -1 * 8

Factor out a -1

-1(x+8)

-(x+8)

Answer:

-1(x+8)1(-x -8)

Step-by-step explanation:

[tex] - x - 8[/tex]

Factor out common term : -1

[tex] - 1(x + 8)[/tex]

In a certain section of Southern California, the distribution of monthly rent for a one-bedroom apartment has a mean of $2,325 and a standard deviation of $270. The distribution of the monthly rent does not follow the normal distribution. In fact, it is positively skewed. What is the probability of selecting a sample of 50 one-bedroom apartments and finding the mean to be at least $2,245 per month

Answers

Answer:

0.982

Step-by-step explanation:

Given that:

Mean (μ) = 2325

Standard deviation (σ) = 270

From the central limit theorem ; the Distribution of 50 sample means will be normally distributed

Finding the mean to be at least $2245 per month;

x = 2245

Using the Z score relation :

Zscore = (x - μ) / (σ/√n)

Zscore = (2245 - 2325) / (270/√50)

Zscore = - 80 / 38.183766

ZSCORE = - 2.0951312

= - 2.1

P(Z > - 2.1) = 0.982 ( from the Z probability Calculator).

HELP ME ITS MY LAST PROBLEM ITS PRECAL HELP MEEEE

Answers

Step-by-step explanation:

LHS = (tan β + Sec β)(1 - sin β)

= ((sin β / cos β) + (1/cos β))(1-sin β)

= ((1+ sin β)*(1- sin β))/cos β

= (1 - sin^2 β) / cos β

= cos^2 β / cos β

= cos β

= RHS

Hence proved

Does anyone know the answer?

Answers

Answer:

20 i think

Step-by-step explanation:

X = 63 is the answer.

Emma is 10 years younger than Joseph. Joseph's age 6 years from
now will exceed twice Emma's age 2 years ago by 3 years.
How old is Em ma and Joseph now?

Answers

Answer:

Step-by-step explanation:

let Emma age be x now

Let Joseph age be y now

If Emma is 10 years younger than Joseph, then x = y-10

six years from now:

Emma will be x+6 years

Joseph will be y+6 years

If Joseph's age 6 years from  now will exceed twice Emma's age 2 years ago by 3 years, then:

y+6 = 2(x+6-2) + 3

y+6 = 2(x+4)+3

y + 6 = 2x+11

y + 6 = 2(y-10)+!1

y + 6 = 2y-20+11

y - 2y = -9-6

-y = -15

y = 15

Since x = y -10

x = 15-10

x = 5

Hence Emma is 5years old now and Joseph is 15years old now

Your grandfather gave you $18 to buy a present. This covered 9/10 of the cost. How much did the present cost?

Answers

it cost $20 because if you divide 18 by 9 you get 2 which means that if you multiply 2 by 10 the total would be 20

6m + 4n + 3m - 6

What are the coefficient[s]? Separated them with a comma

Answers

Answer:

6,4,3

Step-by-step explanation:

A coefficient is a number multiplied by a variable in the a equation. 6 is not a coefficient because it is not being multiplied by anything

Answer:

6,4,3, and -6

Step-by-step explanation:

These are the coefficients because usually coefficients are accompanied with a variable with is meaning to multiply. In this case you would combine all of your like terms.

If A and B are independent events, which equation must be true?
Α.
P(B/A) = P(A)
B.
P(B/A) = P(B)
C.
P(B/A) = P(A) P(B)
D.
P(B/A) = P(A) + P(B)

Answers

Answer:

B. P(B/A)=P(B)

In the diagram, bisects ABC. Find mABD and mDBC

Answers

Answer:

Angle ABD =  45 degrees

Angle DBC =  45 degrees

Step-by-step explanation:

If the ray BD bisects ABC, then it divides it in two angles of equal measure. The we can write the following equality:

angle ABD = Angle DBC

9 x + 9 = 12 x - 3

solve for x by subtracting 9x from both sides,

9 = 3 x - 3

and adding 3 to both sides:

9 + 3 = 3 x

12 = 3 x

divide both side by 3 to isolate "x":

12/3 = x

x = 4

And now we can find the value of each angle:

Angle ABD = 9 x + 9 = 9 (4) + 9 = 36 + 9 = 45 degrees

Angle DBC = 12 x - 3 = 12 (4) - 3 = 18 - 3 = 45 degrees

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