Beth is solving this equation: 1/x + 3 =3/x
she says "I can multiply both sides by X and get the linear equation 1 + 3x = 3 whose solution is x = 2/3 ."
which of the following statements makes this a correct argument, or shows that it is in correct? Select all that apply.

a. you cannot multiply both sides by x because you do not know what x is.

b. you can assume x = 0 because both sides are undefined if x = 0

c. after multiplying both sides by X you need to subtract 1 from both sides.

d. the equation is not linear, so you cannot use the methods normally used for solving linear equations.

Answers

Answer 1

Answer:

a. you cannot multiply both sides by x because you do not know what x is.

Step-by-step explanation:

Given:

[tex]\frac{1}{x} + 3 = \frac{3}{x}[/tex]

Required

Select which of the option that applies

Considering (a):

A is incorrect:

Because: Multiplying both sides by x has nothing to do with whether the value of x is known or not

Considering (b):

B is incorrect:

Substitute 0 for x in the given expression

[tex]\frac{1}{0} + 3 = \frac{3}{0}[/tex]

[tex]Und efi ned[/tex]

Both sides of the equation are undefined

However, you cannot assume x to be 0

Considering (c):

C is correct:

Start by multiplying both sides by x

[tex]x (\frac{1}{x} + 3) = \frac{3}{x} * x[/tex]

[tex]1 + 3x = 3[/tex]

Then, subtract 1 from both sides

[tex]1 - 1 + 3x = 3 - 1[/tex]

[tex]3x = 2[/tex]

Divide through by 3

[tex]x = \frac{2}{3}[/tex]

Considering (d):

D is incorrect;

Because, the equation is linear


Related Questions

Which decimal is equivalent to (5 × 10) + (2 × 1/100)? a 50.002 b 5.02 c 50.20 d 50.02

Answers

Answer:

d 50.02

Step-by-step explanation:

I got 50.02 For the answer :)

write in standard form y=-3x+4 through (0,-1)

Answers

Y= -3x +4
So from the equation we can tell that m is 3 .

(0,-1)
(x, y)

0 = x
-1 = y

M = 3

Y = mx+ c
Just insert it
-1 = 3(0) + c
-1 = c

So thts mean the answe is y = 3x-1

Which statement is false?

Answers

I believe that your answer is C. Not ALL rational numbers are integers.

GEOMERTY QUESTIONS!!!!!!!!!

Answers

Answer: The answer to the first question is C. The answer to the second question is A.

the first one is C and the second is A

Zeke had 12 friends coming for his birthday party. He wanted each friend to get 1 1/3 pounds of candy. How many pounds of candy did he need to buy?

Answers

Answer: 16 pounds

Explanation:

1 1/3 = 4/3 pounds of candy each

But he has 12 friends:

12 x 4/3 = 16 pounds of candy that he need to buy

Please help me, I need the answer now! Will mark brainliest.

Answers

Answer: It is D

Step-by-step explanation: The numbers are going by fives.

Drew scores 90 points in 6 games. How many points per game does Drew score?

Answers

Answer:

15

Step-by-step explanation:

90 points in 6 games

90/6 = points in one game

= 15 points in one game

Answer:

15 points per game

Step-by-step explanation:

You need to divide the full amount of points (90) by the amount of games played (6) to get the amount of points per game.

90÷6=15

So 15 is the answer

What is m What is m What is m

Answers

Answer:

honestly im not sure but i am doing that same work at the moment and i just ingore the m. it shouldnt change what you get as your answer.

Answer:

not sure but i hope yah find out

Step-by-step explanation:

What is 39,040,000 expressed in scientific notation

Answers

The scientific notation answer is 3.904 x 10^7

Answer:

39.04 x 10 to the power of 7

Step-by-step explanation:

probably wrong but ok :)

help please! I kind of forgot how to do these & I need a little bit of help, thank you!

Answers

Answer:

T

Step-by-step explanation:

Go to the right 1/4 of a unit and down 1/2 of a unit

The point is T

Evaluate the expression, given functions f and h: f(x) = 3x − 2, h(x) = −2x2 + 3x − 6. f(7/3) - h(-2)

Answers

Answer:

The answer is 25

Step-by-step explanation:

f(x) = 3x - 2

h(x) = - 2x² + 3x - 6

First to find f(7/3) substitute the value of x that's 7/3 into f (x)

That's

[tex]f( \frac{7}{3} ) = 3( \frac{7}{3} ) - 2 \\ = 7 - 2 \\ \\ f( \frac{7}{3} ) = 5 \: \ \: \: \: \: \: \: \: \: \: \: \: [/tex]

To find h(-2) substitute the value of x that's - 2 into h(x)

We have

[tex]h( - 2) = - 2 ({ - 2})^{2} + 3( - 2) - 6 \\ = - 2(4) - 6 - 6 \\ = - 8 - 12 \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ h( - 2) = - 20 \: \: \: \: \: \: \: [/tex]

So we have

[tex]f( \frac{7}{3} ) - h( - 2) = 5 - - 20 \\ = 5 + 20[/tex]

We have the final answer as

25

Hope this helps you

A pair of $120 shoes was discounted 20 percent. A customer had a coupon for an additional $5 off. What was the final price of the shoes?

Answers

Answer:

The answer would be $91.

Step-by-step explanation:

20% off of 120 is 96 and 96 - 5 is 91.

Answer:

$91

Step-by-step explanation:

To find 20% off of  $120 set it up as a fraction.

We are trying to find x.

x/120 = 20/100

Now you are going to cross multiply to get the unchanged/non-simplified version of you soon to be answer.

2400/100x

Simplify that to find how much you need to subtract from $120 when the discount is added.  2400/100 = 24. 120-24 = 96. Then subtract 5 from 96 and that will give you your final answer.

which of the following numbers best approximates 3.076 - 307.6
A. 300
B. 3,000
C. 30
D. 30,000

Answers

Answer:

A

Step-by-step explanation:

The minus sign is not needed.

Solve step by step 3(2x-4)=8

Answers

Answer:

x = 3.33... or 10/3

Step-by-step explanation:

3(2x - 4) = 8

distribute the 3 into the parentheses

3 • 2x = 6x

3 • -4 = -12

6x - 12 = 8

add 12 to both sides

6x = 20

divide both sides by 6

x = 3.33... or 10/3

Answer:  x = 10/3

Step-by-step explanation:

3(2x-4) = 8     apply the distributive property on the left side

6x - 12= 8       Add 12 to both sides

     +12   +12

6x = 20     Divide both sides by 6

x= 20/6 which simplifies to 10/3

Jennifer is saving money to buy a bike. The bike costs $336. She has $128 saved, and each week she adds $16 to her savings. How long will it take her to save enough money to buy the bike? It will take her \weeks to save for the bike.​

Answers

Should be 13 weeks. $336-$128= $208
$208/$16= 13 weeks

find the area of the prism

Answers

Answer:

total surface area = 400 cm2

Step-by-step explanation:

Find the midpoint of the segment with the following endpoints. (7,−2) and (1,−10)

Answers

Answer:

The answer is

[tex](4 \: , \: - 6)[/tex]

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

[tex]M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )[/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(7,−2) and (1,−10)

The midpoint is

[tex]M = ( \frac{7 + 1}{2} , \: \frac{ - 2 - 10}{2} ) \\ = ( \frac{8}{2} , \: - \frac{12}{2} )[/tex]

We have the final answer as

[tex](4 \: , \: - 6)[/tex]

Hope this helps you

Multiply. (2x + 5) (3x2 + 5x + 1) A. 5x3 + 15x2 + 27x + 5 B. 6x3 + 15x2 + 27x + 6 C. 6x3 + 25x2 + 27x + 5 D. 6x3 + 25x2 + 23x + 5​

Answers

Answer: 6x3+25x2+27x+5

Step-by-step explanation: =(2x+5)(3x2+5x+1)

=(2x)(3x2)+(2x)(5x)+(2x)(1)+(5)(3x2)+(5)(5x)+(5)(1)

=6x3+10x2+2x+15x2+25x+5

Which fraction is equivalent to a repeating decimal? A)3/11 B)3/4 C) 3/8 D) 3/5

Answers

Answer:

3/11.

Step-by-step explanation:

3/11 = 0.2727272727....

What is the value of x in the equation one-fifthx – two-thirdsy = 30, when y = 15? 4 8 80 200

Answers

Answer:

x = 200

Step-by-step explanation:

Given

[tex]\frac{1}{5}[/tex] x - [tex]\frac{2}{3}[/tex] y = 30 ← substitute y = 15 into the equation

[tex]\frac{1}{5}[/tex] x - [tex]\frac{2}{3}[/tex] × 15 = 30 , that is

[tex]\frac{1}{5}[/tex] x - 10 = 30 ( add 10 to both sides )

[tex]\frac{1}{5}[/tex] x = 40 ( multiply both sides by 5 to clear the fraction )

x = 200

The value of x is 200.

Here, given expression is

one-fifthx – two-thirdsy = 30,

We have to find the value of x when y = 15.

What is Mathematical expression?

Mathematical expression is a way where calculations and analytical processes should be observed.

Now, given expression is

⇒ one-fifthx – two-thirdsy = 30,

⇒ [tex]\frac{1}{5} x - \frac{2}{3} y = 30\\[/tex]

When y = 15

⇒ [tex]\frac{1}{5} x - \frac{2}{3} *15 = 30\\\\\frac{1}{5} x -2* 5 = 30\\\\\frac{1}{5} x = 30 + 10\\\\\frac{1}{5} x = 40\\\\x = 200[/tex]

Hence, The value of x is 200.

Learn more about the Mathematical expression visit:

https://brainly.in/question/49349844

#SPJ6

Find the two missing numbers shown with an "*" in the equation.

5 3/* × * 1/2 = 19
^^both mixed fraction^^

Answers

I hope its helps
Its has to be more what I’m writing here so I’m writing

A corporation reported profit of approximately $1500 million with approximately $24,300 million in revenues. Compare the profit to revenue by writing as a fraction in the lowest terms

Answers

Answer:

[tex]\frac{5}{81}[/tex]

Step-by-step explanation:

Given:

Profit = $1500 million

Revenue = $24,300 million

Profit to Revenue = [tex]\frac{1500 million}{24,300 million}[/tex]       [Since they both have same unit ($), this sign can be omitted]

Now let's reduce the ratio above to its lowest terms...

[tex]\frac{1500 million}{24,300 million}[/tex]

[First, the millions at the numerator and denominator cancel out]

[tex]\frac{1500}{24,300}[/tex]  

[Next, the two zeros at the numerator and denominator cancel out]

[tex]\frac{15}{243}[/tex]

[Next, divide both the numerator and denominator by 3]

[tex]\frac{5}{81}[/tex]

Since no further division can be done, then the profit to revenue is in its lowest terms as [tex]\frac{5}{81}[/tex]


19. A concert vendor sold 200 tickets for an upcoming rock concert. Floor seats were $36 and stadium seats
were $28. The vendor sold $6080 in tickets. How many floor seats and stadium seats did the vendor sell?
Set up a system of equations and solve. Let f = the number of floor seats sold and S= number of stadium
seats sold.

Answers

Answer:

36F + 28S= 6080

Step-by-step explanation:

36F + 28S= 6080 is the equation for the problem. For the amount of tickets each one sold, station seats sold 140 tickets and floor seats sold 60 tickets.

Suppose you charge $4.50/h for baby-sitting. How much will you earn baby-sitting for 3 1/2 hours?

Answers

Answer:

You will earn $15.75, $13.50, or $18 depending on how you are getting paid

Step-by-step explanation:

If you are getting paid a flat rate not by the hour, then simply multiply $3.50 by 3.5 to get $15.75

If you are getting paid by the hour, and only by full hours, the you get $3.50 for the first, second, and third hour, but not for the fourth hour because it has only been a half hour, so only $13.50.

If you are getting paid for each hour that you start, then you get $3.50 for four hours, or $18.00 total

Determining a value of an expression

Answers

To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations.

I think.

Sofia owes her brother $25. She gives her brother the $18 she earned dog-sitting. Write an addition expression to describe this situation. Then find the sum and explain its meaning.

Answers

Answer:

She owes her brother $7.

Step-by-step explanation:

Subtract $18 made from dogsitting from the total (which is $25).

addition expression : $18 + x =$25

                      check :  $25 - $18 = $7

$7 is what she needs to finish paying back.  

Write the following expression using a single exponent. 3-5 × 36 A. 30 B. 3-11 C. 31 D. 3-30

Answers

Answer:

3^1

Step-by-step explanation:

3^-5 * 3^6

When multiplying exponents with the same base, we can add the exponents

3^ ( -5+6)

3^1

Which sentence is correct? A. B. C. D.

Answers

Answer:

what do you mean what sentence is correct give a picture

Answer:a

Step-by-step explanation:

Simplify :
............ ​

Answers

Answer:

?sjsjssnsk.aia.

iwkq.qnw w.1kp1p1la

ama zz

anmpq0qq

Question 5 (1 point)
The mallard duck walks 9,500 ft per year. How many inches is that per day?

Answers

Answer:

LOL, change ft to inches and then divide by 365

Answer:

312.3 Inches/Day

Step-by-step explanation:

I did it on a test and also 9,500 divided by 365 (year) times 12 (12 inches in one foot)=312.3

As you can see in the photo below I chose 312.3

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