1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
8_murik_8 [283]
3 years ago
12

4/x-1 + 3/x -3=0 (Solving rational expressions)

Mathematics
1 answer:
8_murik_8 [283]3 years ago
7 0

\frac{4}{x - 1}  +  \frac{3}{x - 3}  = 0 \\  \frac{4}{x - 1}  =  \frac{ - 3}{x - 3}  \\ 4( x - 3) =  - 3( x - 1) \\ 4x - 12=  - 3x + 3 \\ x = 15

You might be interested in
if 1/4 of a gallon of paint is needed to paint 2/3 of a fence, how many gallons are needed to paint the entire fence? site:socra
trasher [3.6K]

\bf \begin{array}{ccll} \stackrel{paint}{gallons}&fence\\ \cline{1-2} \\\frac{1}{4}&\frac{2}{3}\\\\ x&1 \end{array}\implies \cfrac{~~\frac{1}{4}~~}{x}=\cfrac{~~\frac{2}{3}~~}{1}\implies \cfrac{~~\frac{1}{4}~~}{\frac{x}{1}}=\cfrac{2}{3}\implies \cfrac{1}{4}\cdot \cfrac{1}{x}=\cfrac{2}{3} \\\\\\ \cfrac{1}{4x}=\cfrac{2}{3}\implies 3=8x\implies \cfrac{3}{8}=x

7 0
3 years ago
Read 2 more answers
SOMEONE PLEASE JUST ANSWER THIS FOR BRAINLIEST!!!
insens350 [35]

(2y² + 7y + 11) - (8y² - 5y + 7) you can distribute the negative sign to the second expression and then combine the like terms

new expression: (2y² + 7y + 11) (-8y² + 5y - 7)

2y² and -8y² equals -6y²

7y and 5y equals 12y

11 and -7 equals 4

The answer is -6y² + 12y + 4

5 0
3 years ago
As a​ follow-up to a report on gas​ consumption, a consumer group conducted a study of SUV owners to estimate the mean mileage f
kondor19780726 [428]

Answer:

The 95​% confidence interval estimate for the mean highway mileage for SUVs is (18.29mpg, 20.91mpg).

Step-by-step explanation:

Our sample size is 96.

The first step to solve this problem is finding our degrees of freedom, that is, the sample size subtracted by 1. So

df = 96-1 = 95

Then, we need to subtract one by the confidence level \alpha and divide by 2. So:

\frac{1-0.95}{2} = \frac{0.05}{2} = 0.025

Now, we need our answers from both steps above to find a value T in the t-distribution table. So, with 95 and 0.025 in the t-distribution table, we have T = 1.9855.

Now, we find the standard deviation of the sample. This is the division of the standard deviation by the square root of the sample size. So

s = \frac{5.6}{\sqrt{96}} = 0.57

Now, we multiply T and s

M = T*s = 1.9855*0.57 = 1.31

For the lower end of the interval, we subtract the mean by M. So 19.6 - 1.31 = 18.29

For the upper end of the interval, we add the mean to M. So 19.6 + 1.31 = 20.91

The 95​% confidence interval estimate for the mean highway mileage for SUVs is (18.29mpg, 20.91mpg).

8 0
4 years ago
Amir stands on a balcony and throws a ball to his dog, who is at ground level. The ball's height (in meters above the ground), x
Y_Kistochka [10]
When the ball hit the ground, the height of the ball will be zero. So using the value of h(x) as zero in the given equation, we can find the time in which the ball will hit the ground.

0=-(x-2)^{2}+16 \\  \\ 
(x-2)^{2}=16 \\  \\ 
x-2= \sqrt{16} \\  \\ 
x-2=4 \\  \\ 
x=6

This means the ball will hit the ground 6 seconds after Amir threw it
6 0
3 years ago
Read 2 more answers
Identify the slope type of the graph shown above.
Contact [7]
Answer is B. Zero
Reason
Pick any points on that line, they will have the same y value , it means they lie on a horizontal line. The slope of such a line is 0.
5 0
1 year ago
Other questions:
  • Lesson 1: identify pairs of lines and angles draw two lines intersected by a transversal. label corresponding angles ∠1 and ∠2.
    8·2 answers
  • Lance wants to find the total length of three boards. he uses the expression 3 1/2+2+4 1/2 how can Lance rewrite the expression
    15·2 answers
  • What is the range of f(x) = |-x|?
    13·1 answer
  • There is some evidence suggesting that you are likely to improve your test score if you rethink and change answers on a multiple
    14·1 answer
  • I would like to purchase 20 products at a cost 65.00 per product. what will be my total? your state has 3.5% sales tax
    12·2 answers
  • Tan3x + tan4x =tan7x
    14·1 answer
  • Solve 5n=20 math right now please
    10·2 answers
  • a boat travels 45 minutes at a speed of 8 mph. then the boat travels 1.5 times faster for 1/3 hr. how many miles do the boat tra
    15·1 answer
  • Suppose c>d. explain why the following inequalities are true:
    8·1 answer
  • No link no bot fast right please is it inch or inch 2
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!