Mathematics High School

Select all the correct statements about the fractional equation (x/x-1) - (3/x) = 1/x-1

Only x=3 is a solution
Both x=3 and x=1 are solutions
Only x=1 is and extraneous root
Only x=3 is an extraneous root

Answers

Answer 1

Answer: only x=3 is a solution and only x=1 is an extraneous root

Answer 2

For the given expression (x/x-1) - (3/x) = 1/x-1 both x=3 and x=1 are solutions. The correct option is B.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is  (x/x-1) - (3/x) = 1/x-1. Check the solution of the expression,

(x/x-1) - (3/x) = 1/x-1

( 3 / 3 - 1 ) - ( 3 / 3 ) = 1 ( 3 - 1 )

( 3 / 2 - 1 ) = 1 / 2

1 / 2 = 1/2

For x = 1 the value is the same.

Therefore, both 3 and 1 are solutions to the given formula (x/x-1) - (3/x) = 1/x-1.

To know more about an expression follow

https://brainly.com/question/6241556

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Related Questions

what is the square root of -8

Answers

Simply, it cannot be done. In order to calculate this, the number would need to be positive.

Step-by-step explanation:

[tex] \sqrt{ ( - 8)} = 2 \sqrt{2} i[/tex]

please help asap thank u (will mark brainliest)

Answers

10.47! Hope this helps!!

A hiker is walking down a mountain. She walked 5978 feet in 17 minutes. In that time she descended 1024 feet feom the top of the mountain. She then walked 3927 feet in 7 minutes. In that time she descended 500 more feet. Express the average rate of change in altitude of the hiker from her starting point to her ending point as unit rate

Answers

Answer:

[tex]Average \ rate \ of \ change =[/tex] 63.5 ft/min

Step-by-step explanation:

Given that:

A hiker is walking down a mountain.

For the first case:

She descended 1024 feet from the top of the mountain in 17 minutes after walking for 5978 feet.

For the second case:

She descended 500 more feet from the top of the mountain in 7 minutes after walking for 3927 feet.

Thus; the average rate of change in altitude of the hiker from her starting point to her ending point can be expressed as:

[tex]Average \ rate \ of \ change = \dfrac{h_1 +h_2}{t_1 + t_2}[/tex]

[tex]Average \ rate \ of \ change = \dfrac{1024 +500}{17 + 7}[/tex]

[tex]Average \ rate \ of \ change = \dfrac{1524}{24}[/tex]

[tex]Average \ rate \ of \ change =[/tex] 63.5 ft/min

the sum of two numbers is 181 and their difference is 37.Find the larger of the two integers

Answers

Answer:

  Larger First number: 109

  Second number: 72

Step-by-step explanation:

x + y = 181

x - y = 37

x = 37 + y

(37 + y) + y = 181

37 + y + y = 181

37 + 2y = 181

2y = 144

y = 72

x - y = 37

x - 72 = 37

x = 109

Check:

x + y = 181

  109 + 72 = 181

  181 = 181

x - y = 37

  109 - 72 = 37

  37 = 37

Larger number is x = 109

3/4 divided by 5/2
pls last answer

Answers

Answer:

Decimal form: .3

Fraction form: 3/10

(work shown below, hope this helped!)

Si a2 - b2 = 7 (a + b), entonces a - b =

Answers

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[tex](a + b)(a - b) = 7(a + b)[/tex]

Divide sides by ( a + b )

[tex] \frac{(a + b)(a - b)}{(a + b)} = \frac{7(a + b)}{(a + b)} \\ [/tex]

[tex](a - b) = 7[/tex]

[tex]a - b = 7[/tex]

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I’m very confused I tried

The legs of an isosceles triangle have lengths 2x+1 and -3x+16 . The base has length 3x-5 . What is the length of the base? Guys am willing to give my points to you place someone help me.

Answers

Answer:

It'll be 4

Step-by-step explanation:

2x+1 = -3x+16 , you'll do the basic math which is put your X on one side and numbers on the opposite to get X.You're finding the base so you plug in the answer (you had gotten from 2x+1 and -3x+16), to 3x-5 and you get your answer 4

What is the solution for the equation 8x − 12 = 4x? x = ______
(Input whole number only).

Answers

Answer:

x=3

Step-by-step explanation:

Answer: x=3

Step by Step Explanation;

somebody help quickly please!

Answers

Answer:

x+y-4

Good Luck!!!

need help bruh please

Answers

Answer:240fp=20p

Step-by-step explanation:

Answer:

240fp=20p

Step-by-step explanation:

help me pleaseeeeeeeeeeeeeeeeeeeeeeee​

Answers

Answer:D

Step-by-step explanation:

Answer is D because you add the 12+6 and keep the 3

How do i do solving systems using elimination

Answers

Answer:

The elimination method for solving systems of linear equations uses the addition property of equality. You can add the same value to each side of an equation. So if you have a system: x – 6 = −6 and x + y = 8, you can add x + y to the left side of the first equation and add 8 to the right side of the equation.

Step-by-step explanation:

help plz ill give brainliest ALL THAT APPLY​

Answers

Answer: I am pretty sure the answer is D.

hope this help.

Answer:

B

Step-by-step explanation:

The x-axis represents the amount of rainfall and the y-axis represents the growth

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

Answers

Answer:

Step-by-step explanation:

4 is broadest

0.25 is narrowest

If A = -1 +5n2 + 9 and B = 3 – n, find an expression that equals 2 A – 3B
in standard form.

Answers

Answer:

10n² + 3n + 7

Step-by-step explanation:

2A - 3B = 2.( -1 + 5n² + 9) - 3.(3 - n)

= -2 + 10n² + 18 - (9 - 3n)

= 10n² + 16 -9 + 3n

= 10n² + 3n +7

a scuba diver dove from the surface of the ocean to an elevation of -79 9/10 feet at a rate of -18.8 feet per minute, After spending 12.75 minutes at that elevation, the diver ascended to an elevation of -28 9/10 feet. The total time for the dive so far was 19 1/8 minutes. what was the rate of change in the diver's elevation during the ascent?

Answers

Answer:

10.82

Step-by-step explanation:

I got it wrong the first time and looked at the answer.

Is 4(3x – y) and 12x – 4y equivalent? yes or no, if so how is it? HELP ASAP PLEASE AND THANK YOU!

Answers

Answer:

Yes!

Step-by-step explanation:

If you distribute 4 into 3x-y, you will get the same thing (12x-4y) meaning they are equivalent.

Answer:

Yes

Step-by-step explanation:

4(3x - y)           |        12x - 4y

12x- 4y            =       12x - 4y

hence they are equivalent

What is the sales price of a shirt that costs $45 with a 20% discount
plz help im stuck

Answers

Answer:

36$

Step-by-step explanation:

N/6 = 1/4 what is n?

Answers

Answer:

n = 3/2

I hope this helps and have a great day :)

And please mark my answer brainliest if you can :)

Answer:

n=3/2

Step-by-step explanation:

13/143 as a unit fraction

Answers

Answer:

1/11

Step-by-step explanation:

You can divide both the top and the bottom since a unit fraction has a numerator of 1. 13 divided by 13 is 1 and 143 divided by 13 is 11.

Your answer is 1/11.

Hope this Helps!!! :)

Please help me, I don’t know

Answers

Answer:

I think is the last answer 6 < x

last month Mrs. Hamilton bought a 4 pound bag of potatoes for $9.12. This month she purchased a 6 pound bag of potatoes for $11.40. What is the difference in the unit cost per pound that Mrs. Hamilton paid​

Answers

Answer: 38 cents

Step-by-step explanation:

i could be wrong though

Miss bell decorates her gazebo with colored lights. The base of the gazebo is a circle with a diameter of 12 feet. Using the same length of lights she's going to decorate the side of her garden shed which has a square base. What is the maximum side length of the shed

Answers

Answer:

The maximum side length of the shed = 9.42 ft

Step-by-step explanation:

From the given information:

Miss bell decorates her gazebo with coloured lights who base is a circle with diameter 12 feet. The first find the circumference of the gazebo by using the circumference of a circle since the base takes such shape.

Circumference of a circle = πd

Circumference of a circle = π × 12

Circumference of a circle = 37.699

Then; the circumference of the circle equates to the length of the lights.

However, using the same length, the maximum side length of the  garden shed whose base took a square form can be determined by using the perimeter of a square as the square length, which is;

P = 4L

where;

L = length of sides

37.699 = 4L

L = 37.699/4

L = 9.42 ft

Thus, the maximum side length of the shed = 9.42 ft

factor out the common factor: -48y - 6x
i get how to do it but i'm not sure whether to put the negative in the greatest common factor or in the binomial. so basically -6(8y+x) or 6(-8y-x).

Answers

Answer:

-6 (x + 8y)

Step-by-step explanation:

Factor -48y -6x

-6x-48y

Answer : -6 (x+8y)

Angle a and b are complementary angles. If a=3x + 9 and b= x-11, find the measure of A.

Answers

x= 11
∘

Explanation:
Complimentary angles sum up to
90
∘
.
Hence
A
+
B
=
90
∘
.
∴
(
3
x
−
8
)
+
(
5
x
+
10
)
=
90

∴
x
=
90
−
10
+
8
8
=
11
∘
.

Hey.... I need some help plz and plz answer the question correctly not like other people that put random answers

Answers

Answer:

150

Step-by-step explanation:

10x15=150

What value is multiplied on both sides of the equals sign?

Answers

Answer:

image?????

Step-by-step explanation:

the square root of 97 is between _ and _,and it is closer to_

Answers

Answer:

between 9 and 10. it is closer to 10

Write equation in slope intercept form a. Y=mx+b
Write equation in standard form b. ax+by=c

Answers

Answer:

A. y=4x-1 B. 4x-y=-1

Step-by-step explanation:

what is the percentage of 12 inches to 36 inches

Answers

Answer:

33.33 percent. you would need an infinity bar over the 3, but I cant do that on phone

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