You have used the Distributive Property to transform numerical expressions such as (5)(3) + (2)(3) to (5 + 2)(3). How would you transform 5x + 2x into a single term? Substitute five different values into the expressions 5x + 2x and 7x - 1. What do you notice about the values of the expressions? Is there any value that would make the two expressions equal? Why or why not? No Response(s) Be the first to respond to the Discussion topic!

This is 100 pts

Answers

Answer 1

Answer:

see below

Step-by-step explanation:

we take out a common term (factor) from the expressions /numbers which are being added . In the given expression 5x + 2x , the common factor is x , so we can write it as x(5+2) .

Now we can add 5 and 2 inside the brackets that would be 7 , so in single term it would be 7(x) = 7x .

Substituting 5 different values

In 5x + 2x

1. put x = 0 , 5*0 +2*0 = 0 + 0 = 0

2. put x = 1 , 5*1+2*1 =5+2 = 7

3. put x = 2 , 5*2+2*2 = 10+4 = 14

4. put x =3 , 5*3+ 2*3 = 15+6 = 21

5. put x=4 , 5*4+2*4 = 20+8 = 28

In 7x -1

1. put x = 0 , 7*0 -1 = -1

2. put x = 1 , 7*1-1 = 6

3. put x = 2 , 7*2 -1 = 13

4. put x =3 , 7*3-1 = 20

5. put x=4 , 7*4 -1 = 27

For any value that makes them equal ,

equate the given equations ,

5x + 2x = 7x -1

7x = 7x -1

7x -7x = -1

0 = -1

thus we arrived at a contradiction, so there won't be any values for which the equations will be equal. Also we notice that for same values the result of 2nd equation is one less than equation 1.

And we are done!

-Rishabh


Related Questions

3X + 1 please help meeee T-T

Answers

Answer:maybe 3

Step-by-step explanation:

4x would be the answer

Please Help with these Questions

Answers

1. Red
2.orange
3. Pink
4. Black
5.green
1.Red 2.orange 3.pink 4.black 5.green

helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp

Answers

1) aDDING 8+3

2) You should do 3(2a-4), get 6a-24

then do 8+6a-24

Follow bedmas (brackets, exponents, division, multiplication, addition, subtraction ) so first thing we see when looking at 8+3(2a-4) you don’t solve by going left to right. First thing we have to go according to bedmas which is in this problem is brackets. To solve the brackets we have to do 3 times 2a which is 6a and 3 times -4 which is -12.

Which of the following is a composite number between 10 and 20?
A.
19
B.
13
C.
11
D.
18

Answers

The answer is the letter D
The Answer is D. 18

How many terms are in this expression

6b + a + 1

Answers

Answer:

Step-by-step explanation:

3

Answer;

3 terms

Step-by-step explanation;

Just know that a number , a letter or both are terms.

6b is a term, a is a term and 1 is a term, the rest are plus signs.

so that makes 3 terms .

hence , this expression has 3 terms which makes it a trinomial

Which expressions are equal to (# on photo)

Answers

Answer:

36 is the answer to the question so:

[tex]12^{3}[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation: 12 to the third and 2 to the 6 times 3 to the third

write a numeric expression then solve the expression.

Matthew likes to buy movies from a dvd club. He pays 5$ per month plus 2$ per movie. If he buys six movies in june, how much did he pay for the month of june

Answers

Answer:

good Good good Good good Good

y= 2x + 5
y= (2x)6 + 5
y=12 + 5
y= 17 dollars spent
(sorry if this isn't right)

what are the term, coefficient, constants of 15+3w+1/2

Answers

Answer:

2:terms which are +3 and +1/2

One coefficient which is 3

Constants are 1/2 and 15

Variable is w just so you know if you want some extra credit. :)

Terms= 15, 3w. 1/2 Coefficients=3 Constants=15, 1/2

the screen shot is the question

Answers

Answer:

[tex] \frac{50}{3} [/tex]

Step-by-step explanation:

[tex]{r}^{2} .h = 50 [/tex]

[tex]\frac{ {r}^{2}.h }{3} = 50 \div 3 = \frac{50}{3} [/tex]

The answer to this question would be 50/3

Anyone able to help with this? Please right answer only

Answers

Answer: 1

Step-by-step explanation: The scale factor is 2. Since they are similar, BD * 2 = 4. GL/2 = AB

1 unit

triangle GLP is twice as large as triangle ABD. BD is equivalent to LP and LP is 4 units long while BD is half of that. If that’s the case then it’s the same for GL and AB

Simplify the following expression.

-20 + (-15)

PLS HELP ITS FOR A TEST YOU WILL GET 30 POINTS

Answers

Answer: -35

Step-by-step explanation: -20 - 15 -> -35

Answer:

-35

Step-by-step explanation:

7r-7=2r +18 1 point A r=-5 B r=5 C r=2.2 D r=1.2

Answers

Answer: hope this helps ♡

B) r=5

Step-by-step explanation:

7r - 7 = 2r + 18

= 7r - 2r = 18 + 7

= 5r = 25

= r=5

The value of expression is,

⇒ r = 5

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 7r - 7 = 2r + 18

Now, We can simplify as;

⇒ 7r - 7 = 2r + 18

⇒ 7r - 2r = 7 + 18

⇒ 5r = 25

⇒ r = 25/5

⇒ r = 5

Thus, The value of expression is,

⇒ r = 5

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ5

PLEASE HELP LOL

Data was collected on the amount of time that a random sample of 8 students spent studying for a test and the grades they earned on the test. A scatter plot and line of fit were created for the data.

scatter plot titled students' data, with points plotted at 1 comma 75, 2 comma 70, 2 comma 80, 2 comma 90, 3 comma 80, 3 comma 100, 4 comma 95, and 4 comma 100, and a line of fit drawn passing through the points 0 comma 60 and 2 comma 80

Determine the equation of the line of fit.

y = 5x + 60
y = 5x + 80
y = 10x + 60
y = 10x + 80

Answers

Answer:

y = 10x + 60

Step-by-step explanation:

So, the chart coordinate should looks like this:

(1, 75)

(2, 70)

(3, 80)

(4, 95)

(4, 100)

And there is a line passing (0, 60) and (2, 80)

So we just need to find the y-intercept and the slope by the line:

Slope: [change in x over change in y] = 20 ÷ 2 = 10

y-intercept: [the value of y when x equal 0] = 60 (because the line passed through (0, 60) )

Answer: its C.

Step-by-step explanation:

The height of a cylinder is 4 millimeters. The circumference of its base is 10pi mm.
a. What is the radius of the cylinder? Explain.
b. Find the volume of the cylinder to the nearest tenth.

Answers

Answer:

Solutions below.

Step-by-step explanation:

Cylinder Formulas

Lets define the required formulas for the question regarding the cylinder.

The base of the cylinder is a circle, therefore the formula for the circumference of the base is:

[tex]2\pi r[/tex]

The formula for the volume of the cylinder is:

[tex]\pi r^{2} h[/tex]

Question

a) Given from the question, the circumference of the base is [tex]10\pi[/tex] mm.

Therefore, we can use the circumference formula to find radius of the base.

[tex]2\pi r = 10\pi \\2r = 10\\r = \frac{10}{2} \\r = 5mm[/tex]

b) With all the parameters given, we can find the volume of the cylinder.

Volume of the Cylinder =

[tex]\pi r^{2} h\\= \pi (5)^{2} (4)\\= 100\pi mm^{3} \\= 314.2mm^{3} (nearest\ tenth)[/tex]

Question
Either Table C or Table D shows a proportional relationship.



Plot all the points from the table that shows a proportional relationship.

Answers

Answer:table c

Step-by-step explanation:

The answer is : Table C

Calculate the retail price of an original priced item at $3.75 and marked up 80%.

Answers

Answer: 6.75

Step-by-step explanation: 3.75 times 0.8 = 3

3.75+3=6.75

6.75 because i said so and yeah

What did the Council of Trent require each future parish priest to have?

(Edit) This is a history question I just misclicked.

Answers

Answer: Two of its most far-reaching provisions were the requirement that every diocese provides for the proper education of its future clergy in Catholic seminaries and the requirement that the clergy, especially the bishops, give more attention to the task of preaching.

Step-by-step explanation:

can anyone help me on this math problem by any chance?

Answers

Answer would be either a or c i thinl c
Answer: C . But I don’t sure

helppppp fastttttttttttttttttttttttttttttttttttttttttttt pleaseee

Answers

Answer: 2.4

-0.6 should be subtracted from 3

The answer you are looking for is 2.4

A customer at a shipping store is planning to send a package and is considering two options. The customer can send a package for $3, plus an additional $2 per pound. The cost, y, can be represented by the equation y = 3 + 2x, where x represents the amount of pounds of the package. Another option is that the customer can pay a one-time fee of $17 to send the box, represented by the equation y = 17.

Based on the graph of the system of equations, when will the cost of the two shipping options be the same?

A: A package that weighs 10 pounds will cost $17 for both options.
B: A package that weighs 7 pounds will cost $17 for both options.
C: A package that weighs 17 pounds will cost $31 for both options.
D: A package that weighs 17pounds will cost $37 for both options.

Answers

Answer: B

Step-by-step explanation:

the question is what number do you replace X with to make Y equal 17.

the two equations are Y=3+2X and Y=17

we want to know what x equals when y is 17 so in the first equation we can replace y for 17 that gives the equation 17=3+2x

next you will minus 3 from both sides which would make the equation 14=2x

then you will divide both sides by 2 and that will give the equation 7=x

this makes the answer B because if the pacage weight is 7 then y will equal 17

The answer is .B. Because we multiply 7 times 2 that give us 14 and add 14 to 3 that give us 17 so B is the correct answer

can somebody please help me answer these three questions!

1A. A roll of ribbon was 12 meters long. Diego cut 9 pieces of ribbon that were 0.4 meters long each to tie some presents. He then used the remaining ribbon to make some wreaths. Each wreath required 0.6 meters of ribbon. How much ribbon, in meters, did Diego have left over to make wreaths?
1B.How many wreaths could Diego make with this leftover ribbon?

2. Arianna went running for 0.75 hours and ran 5.55 miles. What was her speed, in miles per hour, if Arianna ran at the same speed for her whole run?

3.The Amazon rainforest covered 5.44 million square kilometers in 2014. In 2014, it covered only 0.85 times as much area as it covered in 1994. How much area, in millions of square kilometers, did the Amazon rainforest cover in 1994?

Answers

1A - 8.4

1B - 14

2 - 7.4 mph

3 - 6.4 million square kilometers

I need help Right NOw(will give brainliest) Which expression is equivalent to (3.1x−2.4y+1.9)+(2.2x−1.4y−3.4)?
1.(3.1x+2.2x)+(−2.4y+(−3.4y))+(1.9+(−1.4))
2.(3.1x+2.2x)+(−2.4y+1.4y)+(1.9+3.4)
3.(3.1x+2.2x)+(−2.4y+(−1.4y))+(1.9+(−3.4))
4.(3.1x+(−2.2x))+(−2.4y+(−1.4y))+(1.9+(−3.4))

Answers

Answer: 12

Step-by-step explanation:

adsfffffffffffffffffffffffffffffffffffffffffffffffffffffffff

The answer to this question is one

A cereal box has dimensions of 10 1/2 inches by 7 1/2 inches by 2 1/2 inches.

What is the volume of the cereal box?


A. 19 1/2 in³

B. 27 in³

C. 196 7/8 in³

D. 197 3/8 in³

Answers

Answer: C: 196 7/8 in ^3

Step-by-step explanation:

I hope this helps!

I’m pretty sure it’s C!

Have a pretzel -->
Alicia hikes 15 miles each day on an excursion through the Everglades.

PART A ❗
Complete the inequality to show how many days, D, she must hike to go at least 105 miles/
(box )
[ 15 ] [ 15 ]
d ≥
[ 105 ] [ 105 ]

PART B ❗
For how many days must she hike to go atleast 105 miles?

[ ___ ] days

Answers

Answer:

105 divided by 15 easy they teachers just make you do all the steps to get it.

anyways the answer is 7d. it will take 7 days to reach 105 miles.

Step-by-step explanation:

.

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

pls someone help me I am literally so confused.

Answers

The heart = 10 and the blue shape = 6

Explanation

First take 16 and we know that one purple tear drop is 3

So 3x2 = 6 - 16= 10 so we now know that the blue triangle must be 6 because 6+10 = 16
Green: 10 (looking at the purple's answer, which is 3.) 16-3-3= 10
Blue: 16
It is shown that they both 'weight' or are the same amount. So, it should be 16. The sun of 10(green) + 6 (the 2 purple)

2(purple) + (green) = blue
2*3 + 10 = 16
6 + 10 = 16
16 = 16

The distance from Marni's house to her aunt's house is 3,000 miles. If Marni wants to make the trip to her aunt's house in 6 days, how many miles will she have to travel each day? Use mental math to find the answer.

Answers

Answer:

[tex]\huge\boxed{\sf 500\ miles}[/tex]

Step-by-step explanation:

Distance from Marni's house to her aunt's house = 3,000 miles

Days of trip = 6

Per day, distance covered:

= Total distance / Total days

= 3,000/6

= 500 miles

[tex]\rule[225]{225}{2}[/tex]

Answer:

5000 miles

Step-by-step explanation:

you need to divide 30000 by 6 which is 5000

does anyone mind helping me on this question? (the question is shown on the picture).

Answers

Answer:

4 inches

Step-by-step explanation:

The diameter of the top of the trash can is 12 inches, so 1/3 of that is 12 / 3 = <<12/3=4>>4 inches. This is the diameter of Isaiah's "trashball" that he should aim for.

Answer: 2. I think it’s correct.

please Help I don't understand?

Answers

Answer:

Step-by-step explanation:

keep in the same your right 3.5

Keep it in the same 3.5

Elisa filled a bucket with 64 ounces of water. she dumped 5.17 ounces of water .she drank 11 4/5 ounces of water how much water is left in the bucket???

Answers

Answer:

The amount of water left in the bucket is 47.03 ounces.

Step-by-step explanation:

It is given in the question that:-

Total amount of bucket water = 64 ounces

Amount of water dumped = 5.17 ounces

Amount of water she drank = 11 (4/5) ounces

We can write the mixed fraction 11(4/5) as 11.8 ounces

We have to find the amount of water left in the bucket.

Water left = Total amount of bucket water - Amount of water dumped by her - Amount water she drank

By using simple subtraction, we get

Water left = 64 - 5.17 - 11.8 = 47.03 ounces.

64-5.17-11.8=47.03oz

or
A construction company transported 2 stones that weighed a total of 4.42 kilograms. How much did each stone weigh?

Answers

Answer:

Step-by-step explanation:

2.21 kilos (you might have to convert to pounds)

1 stone: 2.21.
Just have to divided the total by 2.
Other Questions