Which value(s) of x are solution(s) of the equation below

Which Value(s) Of X Are Solution(s) Of The Equation Below

Answers

Answer 1

Answer:

x =-1 , x=4

Step-by-step explanation:

[tex]\frac{1}{x-4}+\frac{x}{x-2}=\frac{2}{x^2-6x+8}\\\\\mathrm{Multiply\:by\:LCM=}\left(x-4\right)\left(x-2\right)\\\\\frac{1}{x-4}\left(x-4\right)\left(x-2\right)+\frac{x}{x-2}\left(x-4\right)\left(x-2\right)=\frac{2}{x^2-6x+8}\left(x-4\right)\left(x-2\right)\\\\Simplify\\\\x-2+x\left(x-4\right)=2\\\\Solve\\\\x=4,\:x=-1[/tex]

Answer 2

Answer:

[tex] \frac{1}{x - 4} + \frac{x}{x - 2} = \frac{2}{ {x}^{2} - 6x + 8} \\ \\ \frac{1}{x - 4} + \frac{x}{x - 2} = \frac{2}{(x - 4)(x - 2)} \\ \\ \frac{(x - 2) + x(x - 4)}{(x - 4)(x - 2)} = \frac{2}{(x - 4)(x - 2)} \\ \\ x - 2 + {x }^{2} - 4x = 2 \\ \\ {x}^{2} - 3x - 4 = 0 \\ (x - 4)(x + 1) = 0 \\ x = 4 \: \: and \: \: x = - 1[/tex]


Related Questions

Simplify 5+5x-(3x-9)
Please help

Answers

Answer:

5+5x-(3x-9)

5+5x-3x+9

2x+14

2(x+7)

Step-by-step explanation:

Answer:

2x+14

explanation:

5+5x-(3x)--9

5+5x-3x+9

add 5 and 9 to get 14

then subtract 3x from 5x to get 2x

2x+14

1) Is it a function?
Please help

Answers

Answer:

Hi, there your answer is no it is not a function

Step-by-step explanation:

Since x is repeating itself

No not a function sorry

In the figure below, find the exact value of x. (Do not approximate your answer.)
3

Answers

Answer:

Step-by-step explanation:

use the idea of similar triangles.

6/3 = 3/x

2x = 3

x = 3/2

Could a polyhedron exist with the given number of faces, vertices, and edges? Drag yes or no to each combination

Answers

Answer:

(a) No

(b) No

(c) No

Step-by-step explanation:

Given

See attachment

Required

Select Yes or No for each

To do this, we make use of Euler's formula

[tex]F + V - E = 2[/tex]

Where

[tex]F \to Faces; V \to Vertices; E \to Edges[/tex]

[tex](a):\ Faces = 8; Vertices = 12; Edges = 6[/tex]

Using: [tex]F + V - E = 2[/tex]

[tex]8 + 12 - 6 = 2[/tex]

[tex]14 = 2[/tex]

The above equality is false. Hence, (a) does not exist

[tex](b):\ Faces = 6; Vertices = 6; Edges = 4[/tex]

Using: [tex]F + V - E = 2[/tex]

[tex]6 + 6 - 4 = 2[/tex]

[tex]8 = 2[/tex]

The above equality is false. Hence, (b) does not exist

[tex](c):\ Faces = 20; Vertices = 30; Edges = 12[/tex]

Using: [tex]F + V - E = 2[/tex]

[tex]20 + 30 - 12 = 2[/tex]

[tex]38 = 2[/tex]

The above equality is false. Hence, (c) does not exist

Can someone help me on this?

Answers

Answer:

Step 1

Step-by-step explanation:

it should've been 4×[tex]10^{3}[/tex]

Answer:

A

Step-by-step explanation:

step 1

= 4 . 10³ not 4 . 10²

Find the slope between:
(1, -4)
(-6, -1)

Answers

Use gradient formula
slope = -3/7

use the slope formula: y2-y1 over x2-x1

-1-(-4) over -6-(-1) = -3/7

PLEASE HELP ILL GIVE BRAINLY

Answers

Answer:

Student C

Step-by-step explanation:

The fraction ends up being 3 and you get 3* 3^-1 so you add 1 to the exponent.

what is the multiplicative inverse of
A)-7/8
B)0
C)-1. 3/7

Answers

Answer:

[tex]a) \frac{ - 8}{7} [/tex]

[tex]b) \frac{0}{1} [/tex]

[tex]c) \frac{7}{3} [/tex]

hope it helps you:)

6 + (8 x 3) - 9 Enter the value

Answers

Answer:

Hello, so the answer is 21.

Step-by-step explanation:

Okay so first we want to do it order, so the order you do it in is the order of PEMDAS which stands for  Parentheses, Exponents, Multiplication, Division , Addition and Subtraction.

So in this situation we have parenthesis, multiplication, subtraction and addition, so we start with the parenthesis, (8 x 3) which is 24. So then we move on to +6 (positive six) and -9 (negative 9) basically -9 minus 6 is -3.

Sooo now we have -3 and 24. The three is negative because -9 minus 6 is -3, and you have to put the sign of the bigger number.

Now, 24 minus 3 equals 21. So there we have it :)

Hope I helped!

Find the simple interest earned on $2,500 at 6% for 2 years.

Answers

Answer:

$2800

Step-by-step explanation:

6/100 x 2500 = 150

150 x 2 = 300

2500 + 300 = $2800

Feel free to mark it as branliest :D

Hamad wants to buy a video game with a selling price of $55, on sale for 40% off. The sales tax in his state is 3.5%. How much will Hamad have to pay in all?

Answers

Answer:

34.16

Step-by-step explanation:

55x.40=22 discount

55-22=33 sales price

33x.035=1.16 sales tax

33+1.16=34.16 total price

Answer:

$33.75

Step-by-step explanation:

hope this helps

PLEASE HELP I HAVE A C ALREADY I NEED TO GET THIS RIGHT PLEASE


You want to estimate the number of students in your school who support extra funding for the science club. You survey the first 13 students who arrive at a science class.


Determine whether the sample is biased or unbiased.

Answers

Answer:

BRO I HAVE THE SAME QUESTION FOR MY TEST....

ITS BIASED IM REALLLLY SURE

Step-by-step explanation:

Why DEF and STU are similar?​

Answers

Answer:

They are similar because they both are in one page.

SMART.

someone please help .. i’m giving 20 points and brialiest

Answers

Answer:

D because it goes right then up!

You usually buy a 5.4 ounce bottle of lotion. There is a new bottle that says it gives
you 20% more free.
Use the drop-down menus to build an equation that could be used to find the size of
the larger bottle,x

Answers

Answer:

5.4 · 0.2

1.08 = 20%

5.4 + 1.08

6.48 ounce bottle

hey! i’ll give brainliest please help

Answers

Answer:

D

Step-by-step explanation:

hey

Answer:

I thing answer is no. D .....

PLEASE ANSWER QUICKLY

Answers

Answer:

10 %

Step-by-step explanation:

Probability that they like hip hop = number that like / total = 30/300 = 1/10 = 10%

what is 7 copies of 1/10

Answers

Answer:

7/10

Step-by-step explanation:

1/10 + 1/10 + 1/10 + 1/10 + 1/10 + 1/10 + 1/10

Answer:

7/10

Step-by-step explanation:

i dont really know how i can explain it :(

o
How can you explain, without just using a rule, why 4.2 = 0.2 is the
same as 42 = 2?
I

Answers

Ratio-wise it is the same :)

They're just moving decimals

.42 : .02

4.2 : .2

42 : 2

420 : 20

Paloma opened a savings account with a deposit of $750. She earns 2% simple interest per year on the account. What will the total amount of money, in dollars, in palomas account after 1 year if there are no other deposits or withdrawals ?

Answers

Answer:

$765

Step-by-step explanation:

Given data

Principal= $750

Rate= 2%

Time= 1 year

The simple interest expression is given as

A=P(1+rt)

substitute

A= 750(1+0.02*1)

A= 750(1.02)

A= $765

Hence the final amount is $765

Ethan school has a sport Field with an area of 6450.35 square yards. If the length of the field is 90.85 yards, what is the width of the field

Answers

Answer:

6540.85

6450.35+90.85=6540.85

Tell whether the angles are adjacent or vertical. Then find the value of x.

1270
O vertical; 127
O adjacent; 127
O adjacent: 53
O vertical: 53

Answers

Adjacent : 53. Is the answer

Break 5/6 into a sum of unit fractions




plz dont dlete my question this isnt a live test and this isnt being streamed therefore i am not breaking breanlys guidlines

Answers

Answer:

1/6+1/6+1/6+1/6+1/6

Step-by-step explanation:

a unit fraction is a fraction with the numerator as 1

40) A 10 ft. ladder positioned against a house makes a 65 degree angle with the ground. How far away
from the house is the base of the ladder?
A. 4 feet
B. 6 feet
C. 9.06 feet
D. 4.22 feet

Answers

Answer:

Distance of ladder from base = 4.22 feet (Approx.)

Step-by-step explanation:

Given:

Length of ladder = 10 feet

Angle with ground = 65°

Find:

Distance of ladder from base

Computation:

Length of ladder (hypotenuse) = 10 feet

Distance of ladder from base (Base)

Using trigonometry function

Cosθ = Base / Hypotenuse

Cosθ = Distance of ladder from base / Length of ladder

Cos65 = Distance of ladder from base / 10

0.4226 = Distance of ladder from base / 10

Distance of ladder from base = 0.4226 x 10

Distance of ladder from base =  4.226

Distance of ladder from base = 4.22 feet (Approx.)

HELP ME PLEASEESWSAS

Solve the following equation for x.
2 + x^2 = 47
6.7
b. 7
22.5
d. 47

Answers

Answer:

6.7

Step-by-step explanation:

x² = 45

x = 6.7

is the answer

The correct one is A hopes this helps!

fid the log of 0.0007356​

Answers

I hoped this helped!!

IK THIS ISNT MATH BUT I NEED HELP ASAP!!

The table below gives the temperature at a certain place at different times of the day for 3 days. When did the wind become much colder?​

Answers

I think it’s Tuesday afternoon. Sorry if I’m wrong!

Santiago buys a new computer for $3000. He pays it off in 2 years and pays $480 in simple interest. What was the interest rate?

Answers

Answer:

8%

Step-by-step explanation:

We can solve this by making use of the simple interest formula

I= PRT/100

480= 3000×R×2/100

480= 6000R/100

Cross multiply

48000= 6000R

R= 48000/6000

= 8%

Hence the rate is 8%

A pack of clothes pins has 1 quarter yellow 2 thirds red and the rest blue how much blue pins are there

Answers

Answer: 1/12

Step-by-step explanation:

First make all the fractions have the same denominator. To do that, multiply the fractions by a number that will get them the same denominator. In this case, multiply 1/4 by 3, and 2/3 by 4.

1/4 x 3/3 = 3/12

2/3 x 4/4 = 8/12

then you have 3/12 + 8/12 = 11/12

so, blue is 1/12

Answer:

1/12 of the pins are blue

Step-by-step explanation:

¼ yellow & ⅔ red

First you have to find a common denominator.

4×3 =12 & 3×4 =12 so the common denominator is 12.

Now × the numerator on the fraction with the same number that you x the denominator and you will get 3/12 and 8/12.

3/12 +8/12 = 11/12

12/12 - 11/12 = 1/12

Therefor 1/12 of the pins are blue

What is the surface area of the cylinder with height 6 m and radius 7 m?
Round your answer to the nearest thousandth.

Answers

Answer:

571.77 cm2 is the answer

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