What property justifies line 2 to line 3? 4 – 3x2 + 2x – x2 + 3 + x2 Line 1 4 + 3– x2 + x2 – 3x2 + 2x Line 2 7– x2 + x2 – 3x2 + 2x Line 3 7 + 0 – 3x2 + 2x Line 4 7 – 3x2 + 2x

Answers

Answer 1

Given:

The steps of simplification of the expression.

[tex]4-3x^2+2x-x^2+3+x^2[/tex]

To find:

The properties to justify the line 2 and line 3.

Solution:

We have,

[tex]4-3x^2+2x-x^2+3+x^2[/tex]

Line 1: [tex]4+3-x^2+x^2-3x^2+2x[/tex]        (Rearranging the terms)

Line 2: [tex]7-x^2+x^2-3x^2+2x[/tex]        (Combining the constant terms)

Line 3: [tex]7+0-3x^2+2x[/tex]        (Additive inverse property)

Line 4: [tex]7-3x^2+2x[/tex]        (Additive identity property)

Therefore, the justifications of Line 2 and Line 3 are combining the constant terms and additive inverse property respectively.


Related Questions

Find the sale price of the item. Round to two decimal places if necessary. Original price: $245.89 Markdown: 70% The sale price is
PLEASE ANSWER DUE IN 20 min!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

$73.77

I'm not sure if I understood the question correctly

explain it in the comments

Step-by-step explanation:

If what I think the question is asking is correct, theres a 70% sale on the full price which is $245.89

70% of 245.89 is 172.123, so now you subtract the sale(172.123) from the original price(245.89)

245.89 - 172.123 = 73.767

If the question was asking a different thing explain it in the comments and I'll answer it for you

look at the picture please

Answers

Answer:

c

Step-by-step explanation:

the top one goes inside the radical and the bottom one is the root

What is the inequality? Will give brainliest.

Answers

Answer:

-8

Step-by-step explanation:

Will give crown help

Answers

Answer:

n x 5

Step-by-step explanation:

The pattern is to multiply each number by 5 so multiplying n by 5 will get you the expression n x 5.

Hope that helps

Solve for the value of x.

Answers

Answer:

X=63

Step-by-step explanation:

180-134=46

since the sides are same, the angles are 67.

x+4=67

x=63

A scale factor of 5 was applied to a triangle. What would be the new length of the height and width of the triangle?

Answers

Answer:

haaaahhhhhhhhhaaaaaa

Step-by-step explanation:

What equal to 3(x+y)

Answers

Answer:

Step-by-step explanation:

3(x+y)= 3x+3y,

you have to multiply the number with each term that is in parenthesis

Answer:

3x+3y

Step-by-step explanation:

3x+3y is pretty much the simplified version.

What is the range of the function y = x??
Oyo
oxio
all real numbers

Answers

Answer:

All Real Numbers

General Formulas and Concepts:

Algebra I

Range is the set of y-values that are outputted by function f(x)

Step-by-step explanation:

If we graph the function, we see that the line stretches out from negative infinity to infinity for both x-values and y-values.

If that is the case, then that means that there is no restrictions on the y-values.

Therefore, our range is (-∞, ∞) or All Real Numbers.

All employees of the Crafton Company are paid $0.375 for each wrench set they pack. How much would Kenny Pace earn if he packed 1,740 wrench sets in one week of work

Answers

Answer:

$652.50

Step-by-step explanation:

1740*0.375=652.5

please help me
you just need to form quadratic equations ​

Answers

Answer:

The value of x is 6

Step-by-step explanation:

The formula of the area of the rectangle is A = l × w, where

l is its lengthw is its width

In the rectangle ABCD

∵ AB = 2x cm

l = 2x

∵ AD = x cm

w = x

→ Use the formula of the area above to find its area

∵ A = 2x × x

A = 2x²

∵ The area of the shaded region = 50 cm²

→ When the shaded region removed, then the remaining area is the

   unshaded region

∵ The area of unshaded region = 22 cm²

∵ The area the ABCD = area the shaded region + area unshaded region

∴ A = 50 + 22

A = 72 cm²

→ Equate the two right side of A

∵ 2x² = 72

→ Divide both sides by 2

∴ x² = 36

→ Take √  for both sides

x = 6

The value of x is 6

An airplane pilot over the Pacific sights an atoll at an angle of depression of 5 . At this time, the horizontal distance from the airplane to the atoll is 4629 meters. What is the height of the plane to the nearest meter?

Answers

Answer:

404.98 m

Step-by-step explanation:

The angle of depression is 5°

The horizontal distance from the airplane to the atoll is 4629 meters.

We need to find the height of the plane.

If we consider a triangle. 4629 meters will be the base and angle is 5°. Let h is the height of the plane. Using trigonometry to find it :

[tex]\tan\theta=\dfrac{x}{4629 }\\\\\tan(5)=\dfrac{x}{4629 }\\\\x=\tan(5)\times 4629 \\\\x=404.98\ m[/tex]

So, the height of the plane is 404.98 m.

HELPPPP PLEASE ASAPPPP

Answers

Answer:

it the 3rd one

Step-by-step explanation:

because you are comparing the it

Six Sigma refers to achieving a process variability so small that the design specifications represent ___ standard deviations above and below the process mean.

Answers

Answer:

six

Step-by-step explanation:

Six sigma is defined as the method or a set of techniques that provides the provides the organization tools and techniques to improve the capability and and be efficient of their business process. It is a concept of process improvement.

It refers to the achieving of a process variability very small so that the design specification represents six standard deviations which is above as well as below the process mean.

a restaurant sells burritos for $8.00 each. The cost of the meat is $1.50 and the cost of the other ingredients is $1.00 for each burrito.
Money made from selling burritos is positive . The cost of making burritos is negative. Profit is the money left after paying the cost.
How much profit would the restaurant make by selling 100 burritos?
1. How much money would the restaurant take in by selling 100 burritos?

Answers

Answer:

$550

Step-by-step explanation:

Answer:

The restaurant would take in $550 by selling 100 burritos

Step-by-step explanation:

First, we need to add all the expenses together and multiply by 100

1.50 + 1.00 = 2.50

2.50 x 100= 250

We know that the restaurant would charge $800 in total for the 100 burritos so now we subtract what it costs to make them.

800 - 250 = 550

Our final answer would be $550

I need help with number 8

Answers

Answer should be Question A

Answer:

I believe the answer is B I had a question like this as well i'm pretty sure its B

Step-by-step explanation:

4.8 + 2.2w - 1.4w - 2.4 = help pls?

Answers

Answer:

.8w + 7.2 is the answer

Step-by-step explanation:

Answer:

2.4+0.8w

Step-by-step explanation:

(4.8-2.4)+(2.2w-1.4w)

X^2+7x=-49 what is x?

Answers

Answer:

In x + 2 = 7, x is a variable, but we can work out its value

Step-by-step explanation:

Can someone please help me and show all the work step by step please

Answers

Step-by-step explanation:

[tex]m\angle {ADC}=134°[/tex]

According to the diagram

[tex]\angle {ADB}+\angle{BDC}=\angle{ADC}[/tex]

[tex]\longrightarrow\sf 5x+4+7x-2=134 [/tex]

[tex]\longrightarrow\sf 12x+2=134 [/tex]

[tex]\longrightarrow\sf 12x=134-2 [/tex]

[tex]\longrightarrow\sf 12x=132 [/tex]

[tex]\longrightarrow\sf x=\dfrac {132}{12}[/tex]

[tex]\longrightarrow\sf x=6 [/tex]

[tex]m\angle{BDC}=7x-2=7×6-2 =40°[/tex]

Please answer quickly, thanks. :)

Answers

Answer:

11 cars/day

Step-by-step explanation:

What we know:

After two days, Car-Mart has 43 cars left. After 3 days, it is 32. After five, 10 cars.

Saying that, subtract 32 from 43 to get your rate of 11 cars sold a day.

I can further deduce they started with 76 cars. On day 1 they had 65 cars. On day 4 they had 21 cars. They will have sold all of their cars after day 6.

What was the result of medical advancements made during the Gupta Empire?

quarantine of the sick
proper diet and nutrition
vaccination against disease
education about germs and illness

Answers

Answer:

A.) quarantine of the sick

Step-by-step explanation:

A lot of people on this same question were saying that A is right.

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

Please do not come at me...

Answer:

It's C: vaccination against disease

Step-by-step explanation:

I know many people are saying A, B, or D but their all wrong I picked C and got it correct. Hope this helped (sorry I'm late)

What is the slope of this graph? (1,6) A 2 3.0) B В​

Answers

Answer:

-3

Step-by-step explanation:

pls mark as brainliest

What is the answer to 0.5x(y - z) in distributive Property?

Answers

Answer- 0.5xy-0.5xz

The power,
P
(watts)
, of a car engine is proportional to the square of its speed,
s

(
m
/
s
)
.
When
s
=
30
,
P
=
1500
.
Work out the speed (to 1 DP) when the power is
1715
watts

Answers

Answer:

scooby-dooby-doooby-dooooby-doooooby-D000000000000000000000000000000Step-by-step explanation:

PLEASE HELP!! PLEASE HELP!! (also answer my other questions too)

A shipping company has 3 different sized cube boxes. The volume of the boxes are 216in^3, 512in^3, and 1000in^3. Mia need to ship a gift with a height of 7 inches.

What is the height, in inches, of the smallest box Mia can use?

Answers

Answer:

A shipping company has 3 different sized cube boxes.The volume of 1 box is 216 in 3=648.The volume of 2 box is 512 in 3=1536.The volume of 3 box is 1000 in 3 = 3000.

So, Mia needs to ship a gift with a height of 7 inches.

648 , 1536-3000

-816

Step-by-step explanation:

Samuel bought 4 rolls of tape to seal boxes. Each roll contains 32.9 meters of tape. He uses 1 1/5 meters of this tape to seal each box. What is the total number of boxes Samuel can seal with these 4 rolls of tape?

Answers

Answer:

109.33 boxes

Step-by-step explanation:

The first step is to calculate the total number of tape

= 32.9 × 4

= 131.6 m

Therefore the total number of boxes that Samuel will use to seal the boxes can be calculated as follows

= 131.6/ 1 1/5

= 131.6 ÷ 6/5

= 131.6 × 5/6

= 658/6

= 109.33 boxes

Cuál sería la respuesta a esto? La señora María obtuvo un préstamo de 5 millones otorgado por un banco, para devolver el préstamo pagará un interés del 3% anual durante 3 años ¿ Qué proceso se debe realizar para saber cuántos guaraníes de interés pagará por el préstamo?

Answers

Answer:

La señora María debe pagar 463.635 guaraníes por concepto de intereses,

Step-by-step explanation:

Se recomienda utilizar el modelo de interés compuesto puesto que la tasa de interés es constante y periódico, dado que se conoce el monto a pedir prestado, la tasa de interés y el número de anualidades, se obtiene el monto final. La cantidad de dinero a pagar es la diferencia entre ese resultado y el monto a ser prestado.

El modelo de interés compuesto es representado por la siguiente fórmula:

[tex]C(t) =C_{o}\cdot (1+r)^{t}[/tex] (1)

Donde:

[tex]C_{o}[/tex] - Cantidad de dinero a prestar, medida en guaraníes.

[tex]r[/tex] - Razón de interés interanual, adimensional.

[tex]t[/tex] - Anualidad, medida en años.

[tex]C(t)[/tex] - Cantidad de dinero asociada a la anualidad actual, medida en guaraníes.

Si sabemos que [tex]C_{o} = 5.000.000[/tex], [tex]r = 0.03[/tex] y [tex]t = 3[/tex], entonces la cantidad de dinero asociada al término del período de préstamo es:

[tex]C(3) = 5.000.000\cdot (1+0.03)^{3}[/tex]

[tex]C(3) = 5.463.635[/tex]

Finalmente, la cantidad de dinero a pagar por concepto de intereses es:

[tex]\Delta C = 5.463.635-5.000.000[/tex]

[tex]\Delta C = 463.635[/tex]

La señora María debe pagar 463.635 guaraníes por concepto de intereses,

Write the equation of the line that passes through the points (9, -2) and (4, 2). Put
your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.

Answers

Answer:

The equation of the line that passes through (9,-2)&(4,2) is

y=-4/5x+26/5

Step-by-step explanation:

m=y²-y¹/x²-x¹

m=2-(-2)/4-9

m=4/-5

m=-4/5

y-y=m(x-x¹)

y-2=-4/5(x-4)

y-2=-4/5x+16/5

+2 +2

y=-4/5x+26/5

Write a linear function f with the values f(−1)=8 and f(5)=6.

Answers

Answer:

f(x)=-1/3x+7 2/3

Step-by-step explanation:

Find the slope:

m= -1/3

Find the y-intercept:

b= -7 2/3

will give brinley crown thing! show your work and explain...
- 109 + 9x = 86 - 4x

Answers

Answer: x=15

Step-by-step explanation: it’s all in the picture hope this helps!

Answer: x= 15

Step-by-step explanation:-109+9x=86-4x

⇒13x-195=0

⇒13x=195

⇒x=

195

13

 

⇒x=15

On a map 4.5 inches is equal to 99 miles. How many miles would represent 1 inch?

Answers

Answer:

22 inches is the answer

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