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
ill give brainliest to the correct answer
Answers
Answer:
312 inches
Step-by-step explanation:
Surface Area = 2×(8×12 + 8×3 + 12×3) = 312 inches
Answer:
312
Step-by-step explanation:
(12x3)x2=72
(12x8)x2=192
(8x3)x2=48
72+192+48=312
i’ll give brainliest:) help thanks
Answers
Answer:
A
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
the other 3 arent right cause they arent shown in the dictionary enry
At a carnival, there are 30 children and 18 adults.
What fraction shows the ratio of children to the total number of people at the carnival
PLZ HELP
Answers
Joe deposits $2500 in a savings account that pays 5% compounded interest semiannually . What is his balance after one year.
Answers
Answer:
here is your answer.....
Step-by-step explanation:
given,
principal (p)= 2500
rate (r)= 5%
time(t)= 1 yrs
now,
(from above photo it continue)
Answer:
$2626.56
Step-by-step explanation:
Formula:
[tex]AV=PV(1+\frac{i}{n})^{nt}\\2500(1+\frac{.05}{2})^{2*1}\\2500(1.025^2)=2626.5625[/tex]
which rounds to
2626.56
Mrs. Rios put a wallpaper border around the room shown below. She used 70 feet of wallpaper border. What is the unknown side length?
Answers
Answer: 16 feet
Step-by-step explanation:
Looking at the shape, one can notice that the unknown side can be found by adding the sides that are circled because they will give the same distance.
The length of the unknown side is therefore:
= 8 + 8
= 16 feet
Which function describes the sequence 4, 12, 36, 108, ... for n = 1, 2, 3, 4...?
a) f(n) = 2" + 1
b) f(n) = 3n
c f(n) = (n − 1)2 + 3
d) f(n) = 4.3"-1
Answers
Answer:
d) f(n) = 4 . 3^(n-1)
______________
A teacher uses a stem-and-leaf plot to record the typing speeds of her students, in words per minute.
Drag values to the table to show the median and mode of the data she recorde
Answers
And 79 is the mode
HELP WITH GEOMETRY SURFACE AREA, PAT ATTENTION TO THE DOUBLE SIDED RADIUS!!
Answers
Answer:
Half of 3 is 1.5(new radius)
1.5^2 = 2.25
2.25 x 3.14 = 7.065
7.065 x 2 = 14.13(area of two circles)
2 x 3.14 x 1.5 = 9.42
9.42(circumference) x 4(height) = 37.68(area of lateral)
Add the given areas:
37.68 + 14.13 = 51.81 cm2 is your answer.
Does the graph represent a function??
Answers
Answer:
No
Step-by-step explanation:
If it was a full line, then it would represent a function.
graph it please????????????
Answers
49 × 66 + 49 × 34 = 49 × ( ____+ _____)
Answers
Answer:
49×66+49×34 = 49× (66+34)
Answer:
49×66+49×34 = 49× (66+34)
Step-by-step explanation:
lily has a stamp collection .she has 54 more U.S stamps than foreign stamps . she has 652 stamps in all.
how many of each type of stamp does lily have? enter the answers in the box.
lily has ____ U.S . stamps and ____ foreign stamps.
Answers
Answer:
foreign stamps = 299
US stamps = 353
Step-by-step explanation:
Let number of foreign stamps be x.
Given she has 54 more U.S stamps than foreign , US stamps = x +54
Total stamps = US + Foreign
652 = x + 54 + x
652 - 54 = 2x
598 = 2x
x = 299
please answer this question
Answers
Step-by-step explanation:
[tex]a) \: - \frac{3}{7} a \: \: \times \: - \frac{21}{15} b[/tex]
[tex] = \frac{ 3}{5} ab \: (ans)[/tex]
[tex]b) \: 3xy(5 {x}^{2} {y}^{2} - 4yz)[/tex]
[tex] = 3xy \times 5 {x}^{2} {y}^{2} - 4yz \times 3xy[/tex]
[tex] = 15 {x}^{3} {y}^{3} - 12x {y}^{2} z \: (ans)[/tex]
The sum of 42 fish and x fish is 68 fish. What is the unknown number of fish?
Answers
Answer:
the unknown number of fish is 26
Step-by-step explanation:
I figured this out by subtracting 68 - 47 = x.
x = 26
Answer:
Unknow fishes = 26
Step-by-step explanation:
We are given that 42 and x fishes sum up to 68 fishes, so we can say;
42 + x = 68
x = 68 - 42
x = 26
Therefore the number of unknown fishes = 26
Hope this helps!
32000 )
bill there
13. Express each of the following recurring decimals as a fraction in its simplest
form
a) 0.8333
b) 0.373737
C) 0.321
Answers
GIVEN: The decimal numbers are given.
TO FIND: We need to find the fractions.
SOLUTION:
a) The decimal form is 0.8333
[tex]\frac{8333}{10000}\\[/tex]
b)The decimal form is 0.373737
[tex]\frac{373737}{1000000}[/tex]
c)The decimal form is 0.321
[tex]\frac{321}{1000}[/tex]
The diameter of Jacob's circular tabletop is 6 feet. What is the area, in square feet, of Jacob's tabletop? A 6 B. 9 С. 12 D 36
Answers
Answer:
B. 9
Step-by-step explanation:
the area = π × 3² = 9π ft²
Area of a circle = pi x R^2
R is the radius which is 1/2 the diameter.
R = 6/2 = 3 feet
Area = pi x3^2
Area = 9pi
The answer is B
solve: (x-3)(x+2)=0
answers:
3 and 2
3 and -2
-3 and -2
none of the choices are correct
Answers
Answer:
x=3 x=-2
Step-by-step explanation:
(x-3)(x+2)=0
Using the zero product property
x-3 =0 x+2 =0
x=3 x=-2
Answer:
3 and -2
Step-by-step explanation:
x -3 =0
x= 3
x+2 =0
x= -2
what is 2/3 of 1/2
WILL MARK AS BRAINLIEST
Answers
Answer:
1/3
Step-by-step explanation:
2/3*1/2 =1/3
WHATS THE VOLUME PLS HELP
Answers
Answer:
Step-by-step explanation:
Volume is the quantity of three dimensional enclosed by a closed surface , for example , the space that a substance or 3D shape excipients or contains .Volume is often quantified numerically using the SI derived unit , the cubic metre.
One package of cookies contains 3,460 calories. Each serving of cookies contains 72 calories. About how many servings are in the package?
Answers
Answer:
Number of servings= 48.05
Step-by-step explanation:
Giving the following information:
One package of cookies contains 3,460 calories. Each serving of cookies contains 72 calories.
To calculate the number of servings, we need to use the following formula:
Number of servings= total calories / calories per serving
Number of servings= 3,460 / 72
Number of servings= 48.05
PLEASE HELP pls I know it’s the easiest thing I just could never understand this
Answers
Answer:
I think its 10 pls dont get mad at me if its wrong.
Step-by-step explanation:
if you see x and then 10 you can see they line up
Help Please I will mark brainlist dont answer if you don’t know and no links.
Answers
Answer:
63
Step-by-step explanation:
Answer:
its A
Step-by-step explanation:
[42
2
X Х
3
5 1 3 6
+1916 51
2,3
6
Answers
jxjxjxnxnxnnxnnxncncncxxnx
Skzkkxkxkfnzxnxnncnvnvnnv XMMMXMidjjcnfnndnmcmcmcmcmcmxmdnndjd
Find the probability of being below 514 if the mean of a normal distribution is 474 and the standard deviation is 32.
Question 13 options:
.8461
.8944
.1056
.1539
Answers
Second option is correct. That is the probability of being below 514 with the mean 474 and standard deviation 32 is 0.8944.
What is normal distribution?A function that represents the distribution of many random variables as a symmetrical bell shaped graph.
The normal distribution is a probability distribution, so the total area under the curve is always 1 or 100%.
What is z-score?A z-score is a numerical measurement that describes a value's relationship to mean of a group of values.
Formula for calculating z-scorez = (x -μ)/σ
where,
z is standard score
x is observed value
μ is mean of sample
σ is standard deviation of sample
According to the given question
we have
x = 514
μ = 474
and
σ =32
therefore,
Z- score will be
Z = (514 -474)/32 = 1.25
So, the area under the normal distribution curve z<1.25
⇒ P(x<1.25) = P(Z<1.25) = 0.894
Hence, second option is correct one. That is, the probability of being below 514 if the mean of a normal distribution is 474and the standard deviation is 32 is 0.894.
Learn more about the probability under normal distribution here:https://brainly.com/question/15103234
#SPJ2
Oliver paid $21 for 6 t-shirts. Each shirt was the same price. What was the cost of 1 t-shirt?
Answers
Hope this helps
Answer: one t shirt cost $3.5
$21 divided by 6 = 3.5
Answer:
The cost of one t-shirt is $3.50
explanation :
21 ÷ 6
= 3.5
help please will give brainliest
Answers
Answer:
x=2.86 which rounds up to 3 if u need to round
Step-by-step explanation:
What is the average rate of change for this quadratic function for the interval from x = 0 to x = 2?
Answers
Answer:
8
Step-by-step explanation:
The average rate of change for this quadratic function for the interval from x = 0 to x = 2 is -2
What is a function?A relation is a function if it has only One y-value for each x-value.
The average rate of a function f(x) from x=a to x=b is given as:
= f(b)-f(a)/b-a
Clearly we are asked to find the average rate of change from x=0 to x=2.
i.e. a=0 and b=2
Also, from the graph it could be observed that:
f(0)=1
and f(2)=-3
=f(2)-f(0)/2-0
=-3-1/2
=-4/2
=-2
Hence, the average rate of change for this quadratic function for the interval from x = 0 to x = 2 is -2
To learn more on Functions click:
https://brainly.com/question/30721594
#SPJ7
Find the total surface area and volume of the figures below?
Answers
please help i keep getting the wrong answer and it’s due soon
Answers
Answer:
I think its 967.22 (2dp) I'm sorry if it's wrong
Step-by-step explanation:
use formula 2*pi *r
A. 7/24
B. 24/7
C. 24/25
D. 7/25
Answers
Answer:
d
Step-by-step explanation: