Answers
Hi there!
[tex]\large\boxed{x = -1}[/tex]
We can solve by multiplying each term to get a common denominator:
[tex]\frac{1}{x - 4} + \frac{x}{x - 2} = \frac{2}{x^2-6x+8}[/tex]
[tex]\frac{x -2}{(x - 4)(x - 2)} + \frac{x(x - 4)}{(x - 2)(x - 4)} = \frac{2}{x^2-6x+8}[/tex]
Since the denominators are all the same (x² - 6x + 8 factors to (x - 2)(x - 4)), we can ignore them temporarily and solve the numerator:
x - 2 + x(x - 4) = 2
Simplify:
x - 2 + x² - 4x = 2
x² - 3x - 4 = 0
Factor:
(x - 4)(x + 1) = 0
x = -1, 4
For the values of x to be a solution, they cannot cause the denominator to be equal to 0, so:
(x - 2)(x - 4) = 0
x = 2, 4. These values result in a denominator of 0, which is undefined.
Thus, the only solution is x = -1.
Related Questions
Which expression is equivalent to (x^1/2y^-1/4z)^-2
Answers
Answer:
[tex]\sqrt{y}[/tex] ÷ xz²
Step-by-step explanation:
multiply the exponent of 'x' by -2 to get -1
multiply the exponent of 'y' by -2 to get 1/2
multiply the exponent of 'z' by -2 to get -2
= (x^-1)(y^1/2)(z^-2)
= 1/x · [tex]\sqrt{y}[/tex] · 1/z²
= [tex]\sqrt{y}[/tex] / xz²
What is the length of the missing leg?
Answers
Answer:
Hello! answer: 6
Step-by-step explanation:
8 × 8 = 64
6 × 6 = 36
64 + 36 = 100
√100 = 10 so therefore a = 6 Hope that helps!
helpppppppppppppppppppppppp asappppp!!!!!!!!!!1
Answers
Answer:
(2) angle EZD = angle AZB (vertically opposite angles)
angle EZD = 90 degree
(3) angle DXC = 180 - 143 (Linear Pair axioms)
= 37 degree
Hope u understand
Please mark as brainliest
Thank You
The measure <EZD = 90°
The measure <DXC = 37°
I hope you understand....
This is a Right answer....
PLEASE ANSWER QUICK. I AM SO CONFUSED. HELP.
Answers
Answer:
Slope: 2
This is because it is going up two blocks within one block space.
Feel free to mark it as branliest :D
gradient = 2
Rise over Run = 5 / 2.5 = 2
Rodger and Brandon set up a business to design and sell t-shirts. They sold 120 t-shirts for $1302. Their expenses were $1344. How much was the profit or loss per t-shirt?
Please help this is due in an hour or so and I really need help
Answers
Answer:
Loss of $.35
Step-by-step explanation:
Income per t-shirt = 1302/120 = 10.85
Expense per t-shirt = 1344/120 = 11.20
Loss per t-shirt = 11.20 - 10.85 = .35
i need the answer!!! please
Answers
Answer:
sinx = e/f
cosx = d/f
tanx = e/d
Step-by-step explanation:
soh cah toa
sin= opposite/hypotenuse
cos= adjacent/hypotenuse
tan= opposite/adjacent
How many blocks having 2m² volume of each are there in a wall having volume 600m³?
Answers
9514 1404 393
Answer:
300 blocks
Step-by-step explanation:
The number of blocks is ...
(600 m³)/(2 m³/block) = 600/2 blocks = 300 blocks
3.
A bag contains red marbles, green marbles and blue marbles only.
The ratio of the number of marbles of each colour is
red: green : blue =
12:5:2
There are 112 more red marbles than green marbles.
Work out the number of blue marbles.
Answers
Answer:
32
Step-by-step explanation:
Since there is 112 more red marbles than green marbles,
7 units= 112
1 unit= 112÷7= 16
2 units(no. of blue marbles)=16×2=32
Subtract 14pqr − 2qrs + 10prs from 6pqr - 5qrs - 7prs
Help needed and quick!!!!!!
Answers
Answer:
- 8pqr - 3qrs - 17prs
Step-by-step explanation:
(6pqr - 5qrs - 7prs) - (14pqr − 2qrs + 10prs) = (6pqr - 14pqr) + (-5qrs - - 2qrs) + (-7prs - 10prs)
= - 8pqr - 3qrs - 17prs
determine the value of x
Answers
Answer:
12x-4 =80
12x =84
x. =7 ,,
find the value of x and y
Answers
Answer:
5 = y
6.5 = x
Step-by-step explanation:
Since all the angles are the same, you can determine that all the sides are the same lengths.
8 = y + 3
8 - 3 = y
5 = y
8 = 2x - 5
8 + 5 = 2x
13 = 2x
13/2 = x
6.5 = x
Answer:
2x - 5 = 8
+5 +5
2x = 13
Divide by 2 on both sides:
X = 6.5
Y + 3 = 8
-3 -3
Y = 5
They must equal 8 since all sides are the same.
2) Escreva a expressão algébrica que representa cada uma das seguintes condições:
a) o triplo de um número y somado com um número x______________
b) a diferença entre o quadrado do número a e o dobro do número b___________
c) o quádruplo do número t aumentado da metade do número m____________
d) a diferença entre o produto o produto do número x pelo número y e o quadrado do número
a_________
rápido pfv gnt preciso entregar essa atividade hoje T-T
Answers
Answer:
a) 3y + x
b) a ^ 2 -2b
c) t ^ 4 + m / 2
d) xy - x ^ 2-y ^ 2
Step-by-step explanation:
a) o triplo de um número y adicionado a um número x ______ 3y + x ________
b) a diferença entre o quadrado do número a e o dobro do número b ______ a ^ 2 -2b _____
c) quadruplicar o número t aumentado pela metade o número m _______ t ^ 4 + m / 2 _____
d) a diferença entre o produto do produto do número x e o número y e o quadrado do número
The____xy - x ^ 2-y ^ 2 _____
What is the approximate volume of the cylinder? Use
for 22/ 7. Round to the nearest whole number.
Answers
Answer:
3rd one
Step-by-step explanation:
Skyler has 20 comic books about the Avengers. He goes to the comic book
store and after he leaves, he now has 26 Avengers comics. What is Chris'
percent increase in Avenger comics? *
Answers
Answer:
6%
Step-by-step explanation:
A square pyramid with a side length of 6 inches has volume of 102 cubic inches. Find the height of the square pyramid.
Answers
Answer:
the height of a square pyramid is 139.3 cm
GIVING BRAINLIEST TO WHOEVER GETS IT RIGHT
What are the zeroes of f(x) = x2 − 2x − 3?
x = −3, 1
x = −3, −1
x = 3, 1
x = 3, −1
Answers
Answer:
x=3 x = -1
Step-by-step explanation:
f(x) = x^2 − 2x − 3
Set the function equal to zero
0 = x^2 − 2x − 3
Factor
What two numbers multiply to -3 and add to -2
-3 *1 = -3
-3+1 = -2
0 = (x-3)(x+1)
Using the zero product property
x-3 =0 x+1 =0
x=3 x = -1
What is the estimate of 35214
Answers
Answer:
4000
Step-by-step explanation:
Which other parts must be equal for triangle ABC= triangle MTR by
Answers
Answer:
see below
Step-by-step explanation:
ASA stands for Angle-side-Angle
thus, for ∆ABC[tex]\cong[/tex]∆MTR
[tex] \displaystyle \angle C \cong \angle R[/tex]
SAS stands for Side-angle-Side
thus,for ∆ABC[tex]\cong[/tex]∆MTR
[tex] \displaystyle \overline{ MR }\cong \overline{MT}[/tex]
likewise,
AAS stands for Angle-Angle-Side
thus,for ∆ABC[tex]\cong[/tex]∆MTR
[tex] \displaystyle \angle M \cong \angle T[/tex]
Please show working out.........
Answers
Answer: Can you put a better picture this is blurry
Step-by-step explanation:
Sonya worked as a dog walker for $9.30 per hour and worked 20 hours each week. Later that year she moved and had to get a new job. Her new job was washing dishes. She was paid $7.50 per hour working 40 hours each week. What is the difference in income per week between the dog walking and dishwashing jobs.? *
Answers
Answer:
She makes $114 more doing dishes.
Step-by-step explanation:
(9.30x20)-(7.50x20)
Look at the two 2s in this number
Answers
Answer: What number?
Step-by-step explanation:
Answer:
In what number... is this a trick question or did you just not finish your question??
Step-by-step explanation:
What is the slope of the line?
PLEASE HELP!
Answers
Answer:
0
Step-by-step explanation:
horozontal lines are always 0
i hope im not wrong, sorry if i am but im 90% sure im right
If A and B are supplementary angles and A is times as large as B, find the measures of A and B.
Answers
use the picture to find each of the following
Answers
[tex] \large{ \tt{☄ANSWERS \: + \: REASONS}} : [/tex]
[tex] \large{ \tt{ \angle \: 7 = \boxed{ \tt{38 \degree}}}} \: ( \text{Being \: alternate \: angles)}[/tex][tex] \large{ \tt{38 \degree + \angle 4 = 180 \degree}}( \text{Sum \: of \: co - interior \: angles}[/tex][tex] \: \: \: \: \: \large{ \tt{ ↦\angle \: 4 = 180 \degree - 38 \degree = \boxed{ \tt{142 \degree}}}}[/tex]
[tex] \large{ \tt{ \angle \: 1 = \angle \: 4 = \boxed{ \tt{142 \degree}( \text{Being \: vertical \: angles)}}}}[/tex][tex] \large{ \tt{ \angle \: 8 = \angle \: 4 = \boxed{ \tt{142 \degree} \text{(Being \: corresponding \: angles)}}}}[/tex][tex] \large{ \tt{ \angle \: 6 = \angle \: 1 = \boxed{ \tt{142 \degree} \text{(Being \:corresponding \: angles) }}}}[/tex][tex] \large {\tt{ \angle \: 2 = \boxed{\tt{38 \degree}}\text{(Being \: corresponding \: angles)}}}[/tex][tex] \large{ \tt{ \angle \: 3 = \boxed{\tt{38 \degree} }\text{(Being \: alternate \: angles)}}}[/tex]
[tex] \large{ \tt{✺ \: TIPS} }: [/tex]
If you have planned for study at 8:00 and now it's 8:05 then don't wait for 9 : 00 , Start studying that subject right now ! ♪[tex] \large{ \tt{❃ \: LEARN \: ABOUT \: ALTERNATE \: , CORRESPONDING\:AND \: CO - INTERIOR \: ANGLES}} : [/tex]
https://brainly.com/question/17147541ツ Hope I helped! ♡
☼ Have a wonderful day / evening ! ☃
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1. Find the value of y when x = 3.
y = 3(x+7) + 12
Answers
3(10)+12
30+12
42
y=42
y = 3(3+7) + 12
= 42
Long division method of 47089. What’s the square root of 47089 in long division method? Do write it in simple way please.
Answers
Answer:
use math.way
Step-by-step explanation:
1/6 and 3/8=? what is the answer
Answers
Answer:
4/24 + 9/24 = 13/24
Find a common denominator which would be 24 atleast.
The school's basketball team lost 4 times as many games as they won. They also tied 5 fewer games than they won.
If they played 43 games, how many did they lose?
А.
36
B. 32
C. 28
D. 24
E. 20
Answers
Answer:
a.36
Step-by-step explanation:
tie is not sure of winning or lose
so,5 tied may consider as lose too
Please HELP ME ASAP quick
Answers
3 trips-
2 * 2 = 4
3 * 2 = 6
5 * 2 = 10
Therefore, working together, the squirrels would only collect 20 acorns during two trips.
This means they would need to take three trips to collect 24 acorns with a remainder of 6 acorns.
2 * 3 = 6
3 * 3 = 9
3 * 5 = 15
30
30-24 = 6
if there are 300 calories in 100 g of a certain food, how many calories are there in a 30 g portion of food
Answers
Answer:
90 calories
Step-by-step explanation:
Calories : quantity of food
there are 300 calories in 100 g of a certain food
300 calories : 100 g food
how many calories are there in a 30 g portion of food
Let x = number of calories
x calories : 30 g food
Equate both ratios
300 calories : 100 g food = x calories : 30 g food
300/100 = x/30
300 * 30 = 100 * x
9000 = 100x
x = 9000/100
x = 90
x = number of calories = 90 calories