Will give brainliest! If you are unsure do not answer.

Make sure you answer both parts and be detailed in your explanation.

a) The equation 2x + 8 = 2(x+4) works for all values of x. Explain how you know.


b) The equation 3x +7 = 3(x+7) works for no values of x. Explain how you know.

Answers

Answer 1

Answer:

a) because of the distributive property when you distribute you get 2x+8=2x+8

b) because when you distribute, you get 3x+7=3x+21 which is not equal so no value of x will work

Answer 2

Answer:

a) 2x + 8 = 2(x + 4) has infinite solutions because it simplifies down to x = x. Here is the work where this equation is solved.

2x + 8 = 2(x + 4)

2x + 8 = 2(x) + 2(4)

2x + 8 = 2x +8

2x + 8 - 8 = 2x + 8 -8

2x = 2x

2x/2 = 2x/2

x = x

So, because the equation ends in x = x, you can substitute any value for x and the equation will remain true.

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

b) 3x + 7 = 3(x + 7) has no solutions because it simplifies down to an untrue statement. The equation is simplified below.

3x + 7 = 3(x + 7)

3x + 7 = 3(x) + 3(7)

3x + 7 = 3x + 21

3x + 7 - 7 = 3x + 21 - 7

3x = 3x + 14

3x/3 = 3x/3 +14

x = x + 14

However, this is false. x cannot be equal to itself plus 14.

x ≠ x + 14

The simplification of this equation is untrue, so there is no solution to it.

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

I hope this helps ^^

Good luck mate


Related Questions

In a class of 27 students, 19 are female and 7 have an A in the class. There are 5 students who are male and do not have an A in the class. What is the probability that a student does not have an A given that the student is female?

Answers

Answer: 15/19

Step-by-step explanation:

What is the area of this figure?

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Answer:

m

Step-by-step explanation:

Rewrite each fraction with a denominator of 24.

3/8 and 7/6

Answers

Answer:

3/8=9/24

7/6=28/24

Step-by-step explanation:

[tex]\frac{3}{8}\cdot \frac{3}{3}=\frac{9}{24}[/tex]

[tex]\frac{7}{6}\cdot \frac{4}{4}=\frac{28}{24}[/tex]

please please help i will mark u brill
please fast i need it right know !!!!!

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Answer:

yes

Step-by-step explanation:

8d+54=150

8*12+54

96+54

150

Liz has two pieces of string; one 18cm long, the other 24cm long. She wants to cut them
up to make pieces of string that are all the same length with no string left over. What is the
greatest length she can make the pieces of string?

Answers

Answer:

6cm

Step-by-step explanation:

length of the longest string=24

length of the shortest string=18.

for both string to have the same length,

24-x=18

x=24-18

=6cm

pls help me with all of them ill give 81 points

Answers

Answer:

1. No

2. Yes

3. [tex]\sqrt{80}[/tex]

4. x=8

Step-by-step explanation:

1.

6^2+8^2

=36+64=100

9^2=81

100≠81

No

2.

5^2+12^2

=25+144

=169

13^2=169

169=169

Yes

3.

x^2=4^2+8^2

x^2=16+64

x^2=80

x=[tex]\sqrt{80}[/tex]

4.

x^2+6^2=10^2

x^2+36=100

x^2=64

x=[tex]\sqrt{64}[/tex]=8

PLEASE HELP! IM GIVING BRAINLIEST!

Answers

Answer:

1/2 x 1/2= 2/4

Step-by-step explanation:

Answer:

Nicoles pattern is correct

Ians pattern is 0,1,3,7,15,

Coordinate pairs

1,0

5,1

17,3

53,7

161,15

Step-by-step explanation:

Pencil and paper

$
1. Una esfera de latón de 3 pies
cúbicos a 22°C se expuso al calor hasta alcanzar una temperatura de
66°C. ¿Cuál será su nuevo volumen'si el coeficiente de dilatación lineal del latón es de 18x1095​

Answers

Answer:

Tell in english plss

Step-by-step explanation:

i dont understangd okk

Jake paid $28.00 for admission to the county fair and bought 12 tickets to play games. If he spent a total of $64, what is the cost, x, of one ticket? Write and Solve an Equation.

Answers

Answer:

64 - 28 = 36

36 divided by 12 = 3

one ticket is 3 $

Solve the one step equation: -5a = -50

Answers

Answer:

a = 10

Step-by-step explanation:

a = 10

Divide -5 on both sides

Answer:

a=10

Step-by-step explanation:

divide -50 by -5 and you get 10. therefore, a=10.

Hue is arranging chairs. She can form 6 rows of a given length with 1 chair left over, or 9 rows of that same length if she gets 11 more chairs. Complete the equation and solve it to find how many chairs are in that row length. In your equation, use the variable x to represent the number of chairs in each row.

Answers

Answer:

There are 7 chairs in each row length.

Step-by-step explanation:

Let number of chairs in 1 row be 'x'.

Let total number of chairs be 'y'.

Given:

Hue can form 6 rows of a given length with 3 chairs left over.

It means that Total number of chairs is equal to chairs in 1 rows multiplied by number of rows which is 6 plus number of chairs which is left which is 3.

Framing in equation form we get.

Also Given:

Hue can form 8 rows of that same length if she gets 11 more chairs.

It means that Total number of chairs is equal to chairs in 1 rows multiplied by number of rows which is 8 minus number of chairs which is required more which is 11.

Framing in equation form we get.

From equation 1 and equation 2 we can say that L.H.S is same.

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Combining like terms we get;

Using Subtraction and Addition property we get;

Now Using Division Property we will divide both side by 2.

Hence there are 7 chairs in each row length.

Solve 96 = 2w^2, where w is a real number. Round your answer to the nearest hundredth. If there is more than one solution, separate them with commas. If there is no solution, click on No solution.

Answers

Answer:

Step-by-step explanation:

96 = 2w²

48 = w²

√48 = w

√(16)(3) = w

± 4√3  = w

± 6.93

w = 6.93, -6.93

The table represents the monthly fees for checking accounts at two banks. Bank Monthly fee L 1% of checking account balance Р S6 Which statement is best supported by the information in the table The fee at bank L bank will be less than the fee at bank P only when the checking account balance is more than $600 The fee at bank L will always be less than the fee at bank The fee at bank L will be more than the fee at bank P only when the checking account balance is less than $600 The fee at bank L will be the same as the fee at bankboy only when the checking account balance is $600

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Answer:039

Step-by-step explanation:

Christopher sold his dinette set for $245 through an online site, which charged him 9% of the selling price as commission. what is the commission?

Answers

Answer:

$22.05

Step-by-step explanation:

If a product has a sales commission, then one must divide the commission percent by (100) to convert the percent to a decimal. Then multiply the result by the price of the product to find the amount of money that will be given as a commission.

Applying this knowledge to the given problem, one must divide (9%) by (100) to convert to decimal form,

9% / 100 = 0.09

Now multiply the result by the price of the product (245) to find the amount given away in commission,

0.09 * 245 = 22.05

Zrób rysunek pomocniczy i oblicz miary kątów w sześciu trójkątach, które otrzymasz wykreślając dwusieczne kątów trójkąta. Kąt ABC wynosi 620 , kąt ACB wynosi 1020 .

Answers

Answer:

Zrób rysunek pomocniczy i oblicz miary kątów w sześciu trójkątach, które otrzymasz wykreślając dwusieczne kątów trójkąta. Kąt ABC wynosi 620 , kąt ACB wynosi 1020 .

Step-by-step explanation:

Work out the surface area of this solid prism.


The diagram is not drawn to scale.​

Answers

i can’t see the solid prism

Find the area of the composite area

Answers

Answer:

39.8

Step-by-step explanation:

5 + 25 = 30

3.14 * 2.5^2 ( divide it in two since its a semi circle)

add that result with 30

help me...................

Answers

4 because when rounded to the nearest tenths it will not increase the number as it is below 5

Answer:

A. 4

Step-by-step explanation:

The answer to this question is option A. which is 4. This is because for every value of 5 or above, we round up to the next digit. For option B and C, those values are either 5 or above. This means that choosing those values would give a new value of 74.16, not 74.15 as the answer is showing.

Select all names that apply to this figure

Answers

Answer:

Quadrilateral and Parallelogram. There is not enough information given to determine the rest of the shapes.

Geoff planted dahlias in his garden. Dahlias have bulbs that divide

Answers

Answer:

Geoff planted dahlias in his garden. Dahlias have bulbs that divide and reproduce underground. In the first year, Geoff's garden produced 4 bulbs. In the second year, it produced 8 bulbs, and in the third year, it produced 16 bulbs

Step-by-step explanation:

A social studies quiz has 4 true-or-false questions. The following list shows the possibilities for a student's responses to these questions. TTTT, TTTF, TTFT, TTFF, TFTT, TFTF, TFFT, TFFF, FTTT, FTTF, FTFT, FTFF, FFTT, FFTF, FFFT, FFFF How many outcomes include 2 true and 2 false answers?

Answers

Answer:

The answer is there are six outcomes

Step-by-step explanation:

TTFF, TFTF, TFFT, FTTF, FTFT,

FFTT

The probability of getting outcomes including 2 true and 2 false answers is 3/8.

The given sample space is {TTTT, TTTF, TTFT, TTFF, TFTT, TFTF, TFFT, TFFF, FTTT, FTTF, FTFT, FTFF, FFTT, FFTF, FFFT, FFFF}

We need to find how many outcomes include 2 true and 2 false answers.

What is the formula to find the probability of an event?

The formula to find the probability of an event is P(E)=Number of favourable outcomes/Total number of outcomes.

Now, the number of favourable outcomes=6 and = the total number of outcomes=16.

So, P(E)=6/16=3/8

Therefore, the probability of getting outcomes including 2 true and 2 false answers is 3/8.

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Which of the given values is a solution to the equation −8d+2=−40d+2?

Answers

Answer: d=0

Step-by-step explanation:

-8d+2=-40d+2

Add 40d to both sides

32d+2=2

Then isolate the 32d by subtracting 2 from the right side.

32d=0

Divide both sides by 32 and get

d=0

solve (x – 5)^2 = 17

Answers

Answer:

x = 5 ± √17

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Terms/CoefficientsMultiple Roots

Step-by-step explanation:

Step 1: Define

(x - 5)² = 17

Step 2: Solve for x

[Equality Property] Square root both sides:                                                    x - 5 = ±√17[Addition Property of Equality] Add 5 on both sides:                                    x = 5 ± √17

PLEASE PLEASE HELP AND NO SCAM PLEASE ​

Answers

Answer:

15.86

Step-by-step explanation:

6.1*2.6 = 15.86

Answer:

14.6

Step-by-step explanation:

A triangle has sides with lengths of 28 feet, 96 feet, and 100 feet. Is it a right triangle?

Answers

Answer:

Yes, itis a right triangle (Brainliest pls :3)

Step-by-step explanation:

Using the hypotenuse formula you can calculate it

Yes it is a right triangle.

Given that,

A triangle has sides with lengths of 28 feet, 96 feet, and 100 feet.

We have to determine,

Is it a right triangle.

According to the question,

To determine if a triangle contains a right angle using Pythagoras' theorem.

If the squares of the two shorter sides add up to the square of the hypotenuse, the triangle contains a right angle.

Therefore,

By Pythagoras theorem,

[tex](Hypotenuse)^{2} = \ (Base)^{2} +\ ( perpendicular)^{2}\\[/tex]

The triangle has sides with lengths of 28 feet, 96 feet, and 100 feet.

Then,

The squares of the two shorter sides add up to the square of the hypotenuse, the triangle contains a right angle.

[tex]=(28)^{2} + (96)^2 = (100)^2\\\\= 784 + 9216 = 10000\\\\10000 = 10000[/tex]

It is a right angle triangle.

Hence, Yes it is a right triangle.

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https://brainly.com/question/22848383

What shape is the cross-section?
a. Triangle
b. Circle
c. Ellipse
d. Hexagon
e. Square
f. Rectangle
g. Pentagon

Answers

Answer:

triangle

A cross section is the shape we get when cutting straight through an object. The cross section of this object is a triangle. It is like a view into the inside of something made by cutting through it.

Step-by-step explanation:

❤️

Two planes just took off from Milwaukee, WI. The first plane is traveling 3
times as fast as the second plane. After traveling in the same direction for 3
hours, they are 606 miles apart. What is the average speed of each plane? (Hint: Since they are traveling in the same direction, the distance between them will be the difference of their distances.)

Answers

Answer:

D = rt
b, slower plane
8.5(3b) - 8.5(b) = 1649
25.5b - 8.5b = 1649
17b = 1649
b = 97mph
3b = 291mph

Find the axis of symmetry and the vertex for the following quadratic equation.
y=x^2-8x + 15

Answers

Answer:

pill

Step-by-step explanation:

martin is saving to buy a bike that cost $420. so far he saved $140. how much must he save each week in order to buy in 16 weeks.

Answers

Answer:

the answer is 26

The sales tax rate on a new vehicle is 6.5%. If the vehicle is $12,000, then how much will you be charged for sales tax

Answers

12,000+sales tax would be the offer the dealer has so it wouldn’t be 12000::34
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