1/4x-3/4=7/x solving the following rational equation for x

Answers

Answer 1

Answer:

x¹= -4 , x²= 7

Step-by-step explanation:

1) Determine the defined range

¼x-¾=7/x =/ 0

2) Move the expression to the left-hand side and change its sign

[tex] \frac{1}{4} x - \frac{3}{4} - \frac{7}{x} = 0 \\ \\ [/tex]

3) Write all numerators above the least common denominator 4x

[tex] \frac{ {x}^{2} - 3x - 28 }{4x} = 0[/tex]

4) When the quotient of expressions equals 0, the numerator has to be 0

x²-3x-28=0

5) Write -3x as a difference

x²+4x-7x-28=0

6) Factor out x from the expression

x(x+4)-7x-28=0

7) Factor out -7 from the expression

×(x+4)-7(x+4)=0

8) Factor out x+4 from the expression

(x+4)×(x-7)=0

9) When the product of the factors equals 0, at least one factor is 0

x+4=0

x-7=0

10) Solve for the x

x+4=0 -> x= -4

x-7=0 -> x=7

11) Check if the solution has defined range

x= -4

x=7

12) The solution has 2 solutions

[tex]x1 = - 4 \: \: x2 = 7[/tex]

Answer 2

Answer:

The correct answer is -9


Related Questions

NEED HELP WIT DIS NEOW!
Jasmin deposited $56, $78, and $93 of the course of 4 days. She then wrote a check for $234.55. What is Jasmin's balance in the bank now?

Answers

her bank balance is -$7.55
Her bank balance is -$7.55

what is the solution to 4x=20

Answers

Answer:

5

Step-by-step explanation:

4x = 20

x = 20/4

x = 5

hope you get it...

Answer:

4 x 5= 20 or 20 divided by 4 is 5

hope this helps

A square tablecloth covers an area of 256 sq in it is folded in half some times until the area it covers is 8 sq in how many times is it folded

Answers

Answer:              

8

Step-by-step explanation:

I solved it meantally, sorry if it’s wrong, if it is, I’ll give you the correct answers, let me know in the chat if it’s right or wrong.

A recipe calls for 5 cups of water for every cup of black beans how many cups of water should be used for 4 cups of beans

Answers

Answer:

20

Step-by-step explanation:

4*5=20

Answer:

20

Step-by-step explanation:

4 times 5= 20

If I go out to eat and my food is $20.98 and the tax is 8.6% how much would I have to pay all together?

Answers

Answer:

$22.78

Step-by-step explanation:

Cost Price: 20.98

Tax is 8.6% of this: 20.98 x 0.086 = 1.80

Total price = Cost Price + Tax:

Total = 20.98 + 1.80 = $22.78

Brainliest would be nice :)

What is the slope of the equation y = -5x - 10?

Answers

The slope is going to be -5 if the equation is set up a y=Mx+b the slope will always be in the M’s position

at a bakery, the ratio of the number of pies to the number of cakes was 8:3. What is the fraction of the number of cakes to the number of pies.

Answers

Answer:

Step-by-step explanation:

Answer:

3

---

8

Step-by-step explanation:

the ratio of cakes to pies will be 3:8 if pies to cakes is 8:3

the fraction is 3/8

What is the y-intercept?

Answers

Answer:

3

Step-by-step explanation:

it goes up by 8 so just subtract by 8

(0, 3)

(2, 11)

(4, 19)

(6, 27)

(8, 35)

(10, 43)

Pls help will brainlist
Question 1 (4 points)
Identify the terms, coefficients, constants, and like terms in the expression. (1 point each)
3 - x + x² – 3x
a. Terms:
b. Coefficients:
c. Constants:
d. Like Terms:
Be sure to number each answer as a, b, c, or d.

Answers

A. none

B. 3

C. x, x^2, x

D. x, x

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

Answers

Answer:

-14

Step-by-step explanation:

Answer:

2x - 16

Step-by-step explanation:

2x + 6x - 4 + 4 -6x - 16 = 2x - 16

At a summer camp there are 40 boys out of 70 campers what is the ratio written as a fraction in simplest form

Answers

Answer:

4/7

Step-by-step explanation:

40/70 = 4/7

Topic: Fractions

If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!

A savings account pays an annual simple interest rate of 1.5%. Question 1 Part A How much interest would you earn in 1 year on $2,000?

Answers

Answer:

$30

Step-by-step explanation:

.015(2000)=30

Answer:

30

Step-by-step explanation:

If f(x) = −2 + 8, what is f(−1.8)?
4
6
10
12

Answers

Answer:

10

Step-by-step explanation:

right on edge, ITS NOT 6

Answer: 10

Step-by-step explanation:

edge2020

6. Complete the table below. In the left column, write the missing product in factored form. In the right column, write the missing sum or difference in expanded form. [4 points Factored Form Expanded Form 7(x – 3) 3 (10m + 20 12y – 9y 15x + 24y​

Answers

given by Rishabh Raj

Step-by-step explanation:

you can take a answer with Google and Google is right also check with belly my accessories 95024 y follow following

The volume of a cylindrical water tank is 2783π cubic feet. If the radius is 11 feet, what is the height of the tank?

Answers

Answer:

23 feet

Step-by-step explanation:

Givens

Volume = pi r^2 h

r = 11

V = 2783 pi

Solution

2783 pi = pi 11^2 * h            Cancel the 2 pi's

2783 = 11^2 h                       Expand 11^2

2783 = 121 * h                       Divide by 121

2783/121 = h

h = 23 feet

Mrs. Bea’s Baker offers a Saturday morning special where your entire meal is 15% off. How much will a $32.00 meal cost after the special? please answer urgent!!!!!

Answers

Answer:

$27.20

Step-by-step explanation:

hope this helps!!!!

3) John and Kamira are playing a game. John's score (J) and Kamira's score 1 point
(K) after round 1 are shown on the number line. (MGSE7.NS.1.b) The score
recorded at the end of the first round is 6. What could this score
represent? *
K
3
5
4
-8-7-6
S
6
-109
2
8 9 10
The absolute value of the difference of John's score and Kamira's score.
The sum of John's score and Kamira's score.
The difference between John's score and Kamira's score.
The sum of the absolute value of John's score and the absolute value of Kamira's
score

Answers

Since the score recorded at the end of the first round is 6, this score could represent the following: B. The difference between John's score and Kamira's score.

What is a number line?

In Geometry and Mathematics, a number line refers to a type of graph that is usually composed of a graduated straight line, which typically comprises both negative and positive numerical values (numbers) that are located at equal intervals along its length.

Assuming the variable J represent John's score and the variable K represent Kamira's score on the number line. In this scenario and exercise, we would determine the solution for the given scenario by solving as follows;

J + K = 1 + 7 = 8

K - J = 7 - 1 = 6

|K - J| = |7 - 1| = |6| = -6

Read more on number line here: brainly.com/question/22515080

#SPJ1

Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Find the mean of the following set numbers 10,15,25,30,30,50,55,55,60,80

Answers

Answer:

the pattern is add 5 then addd 10

Step-by-step explanation:

look at what you typed

Answer:

The answer is 41.

Step-by-step explanation:

To find the mean you have to add up all the numbers and then divide it by how many numbers there are.

PLEASE HELP. DUE REALLY SOON. write an equation of the line in slope-intercept form. (-3,4) and(0,0)

Answers

say less fam i gotchu

y=-4/3x

Also since there is no b, the slope-intercept is 0

Answer:         Slope  -4/3x

Step-by-step explanation

Slope intercept is 0

Not sure if anyone knows this
But what is true and false

Answers

Answer:

trust me

Step-by-step explanation:

you will never be a fool

A political candidate has asked you to conduct a poll to determine what percentage of people support her. If the candidate only wants a 2% margin of error at a 97.5% confidence level, what size of sample is needed?Give your answer in whole people.

Answers

Answer:

The sample size is  [tex]n = 3139  [/tex]    

Step-by-step explanation:

From the question we are told that

   The margin of error is  [tex]E = 0.02[/tex]

From the question we are told the confidence level is  97.5% , hence the level of significance is    

      [tex]\alpha = (100 - 97.5% ) \%[/tex]

=>   [tex]\alpha = 0.025[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } = 2.241 [/tex]

Generally we will assume the sample proportion to be [tex]\^ p = 0.5[/tex]

Generally the sample size is mathematically represented as  

    [tex]n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p ) [/tex]

=>  [tex]n = [\frac{2.241}{0.02} ]^2 *0.5 (1 - 0.5 ) [/tex]

=>  [tex]n = 3139  [/tex]    

   

Name a number greater than -1/2 and less than 0

Answers

-1/3
-1/4

these are two examples, hope that helps!

Use the distributive property to remove the parentheses.
7 (u-5)
4(x+9)
3(u-8)
-7(-6u+w-4)
-5(-2u+3w-5)
-8(y-3v-6)​

Answers

Answer:

7u-35

4x+36

3u-24

42u-7w+28

10u-15w+25

-8y+24v+48

Step-by-step explanation:

Andrea has $18 to spend she spent $6.50 including tax to buy a notebook she needs to save 5.75 but she wants to buy a snack if candy bars cost $1.15 per package including tax what inequality would show the maximum number of packages that Andrea can buy love you any quality by showing your work and steps

Answers

Answer:

Andrea can only buy one snack.

Step-by-step explanation:

okay so since she had 18 dollars at first write it down. so,you would simply put $18 vertically (up) and then Andrea spent 6.50 on a notebook. write that down as well. so now under the "$18" write -6.50. that equals $11.5. but, Andrea needs to save 5.75. so, subtract that from the 11.5 that you wrote under 6.50. (a little check up right here/clarification) write $18-$6.50=$11.5 DO THIS VERTICALLY (UP) ! okay so now that you have that $11.5 written down, subtract 5.75 (for Andreas savings) $11.5-5.75= 5.75.

so you're work should look like this

$18.

$-6.50

-----------

$11.5

$-5.75

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

$5.75

just make sure you add the top ones like you know, the carry the one and stuff, just so she doesn't assume you copied of the internet . have a good day! i wish you the best of luck on this assignment !

Which of the following statements best describes the value of the expression 9x – 3 when x = 7?
A. The result is a fraction.
B. The result is a prime number.
C. The result is a composite number.
D. The result is a whole number that is neither prime nor composite.

Answers

Answer: C

Step-by-step explanation:

9x-3

9(7)-3

27-3

24

24 is a composite number

C. The result is a composite

a skateboard is 15 dollars and you have a a 50 discount what is the tatol savings

Answers

Answer: $7.50 Off

Step-by-step explanation: To find the total amount of savings for a $15 skateboard that has a 50% discount, you‘ll have to simply divide $15 by 2 because 2 represents 50% or half of $15. This will give you a final answer or result of $7.50 off for a $15 skateboard.

Can you please find the measure of all the missing angles? Please help fast.

Answers

Answer:

17035536

Step-by-step explanation:

Answer:

Here are the answers:Make me Brainlist!

Step-by-step explanation:

1- 51 degrees

2-34 degrees

3-95 degrees

4-38 degrees

5-47 degrees

6-74 degrees

7-59 degrees

140,000 = 1.4 x 105
True
O False

Answers

Answer:

this is false. hope this helps

Answer:

False.

Step-by-step explanation:

1.4 x 105 = 147 which is not 140,000

Suppose 40% of the population of pre-teens have a TV in their bedroom. If a random sample of 500 pre-teens is drawn from the population, then the probability that between 36% and 44% of the pre-teens have a TV in their bedroom is:___________
a) 0.9644
b) 0.4644
c) 0.0356
d) 0.9328
e) 0.0712

Answers

Answer:

0.9328

Step-by-step explanation:

The mean of the sampling distribution is equal to

up = p = 0.40

The standard deviation = √pq/n

= √0.40x0.60/500

= √0.00048

= 0.0219

We compute the z values for the probability of 36% and 44%

When p = 0.36

z = 0.36-0.40/0.0219

= -1.83

When p = 0.44

z = 0.44-0.49/0.0219

= 1.813

From the standard normal distribution table. The probability associated with z values from Which we subtract the probability

P(0.36<=p<=0.44)

= P(-1.83<=z<=1.83)

P(z<=1.83)-p(z<=-1.83)

= 0.9664-0.0336

= 0.9328

Therefore the answer is 0.9328

Here is a list of numbers 51 38 48 36 39 40 39 47
Work out the median of the numbers in the list.

Answers

Answer:

39+36=75

8

75=40. 87

8

Step-by-step explanation:

Hope this is enough :)

Answer:

39.5

Step-by-step explanation:

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