All categories

3 years ago

Please help ASAP!!! Thank you!!

Mathematics

2 answers:

slamgirl [31]3 years ago

8 0

Answer:

$-\frac{3}{x-1}$

Step-by-step explanation:

Factor the denominator and then combine fractions:

$\frac{3}{(x-1)(x-2)} -\frac{3}{x-2}$

Find LCM (Least Common Multiple) of denominators:

LCM of (x-1)(x-2) and x-2 is (x-1)(x-2)

Adjust fractions based on LCM:

$\frac{3}{(x-1)(x-2)} -\frac{3(x-1)}{(x-2)(x-1)}$

Denominators are now equal so you can subtract the fractions:

$\frac{3-3(x-1)}{(x-1)(x-2)}$

Factor the numerator:

$\frac{3(-x+2)}{(x-1)(x-2)}$

Cancel:

$-\frac{3}{x-1}$

Eddi Din [679]3 years ago

4 0

Answer:

- 3/x-1

Step-by-step explanation:

You might be interested in

Factor the following expression: 16z+20

Evgen [1.6K]

Answer:

4z + 5

Step-by-step explanation:

16 and 20 are both dividable by 4, so you divide them both by four and then you have your answer

3 0

2 years ago

Read 2 more answers

The school board administered a reading test to all eighth-grade students at High Achievers Charter School and determined that 1

marusya05 [52]

Answer:

right on khan acadamy

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

In trapezoid ABCE, AB||CD. If the mZA<br> 62° determine the m2D

motikmotik

The answer is 53 to the power of 6

8 0

3 years ago

Read 2 more answers

How can you tell from a table of values if a relationship is proportional?

dusya [7]

C- in the table every ratio y/x is equal so the relationship is proportional

4 0

3 years ago

The speeds of vehicles traveling on a highway are normally distributed with an unkown population mean and standard deviation. A

Maksim231197 [3]

Answer:

The 90% confidence interval would be given by (60.09;69.91)

We are 90% confident that the true mean for the speeds of vehicles traveling on a highway is between 60.09 and 69.91 miles per hour.

Step-by-step explanation:

1) Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X =65$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s=9 represent the sample standard deviation

n=11 represent the sample size

2) Confidence interval

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=11-1=10$

Since the Confidence is 0.90 or 90%, the value of $\alpha=0.1$ and $\alpha/2 =0.05$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.05,10)".And we see that $t_{\alpha/2}=1.81$

Now we have everything in order to replace into formula (1):

$65-1.81\frac{9}{\sqrt{11}}=60.09$

$65+1.81\frac{9}{\sqrt{11}}=69.91$

So on this case the 90% confidence interval would be given by (60.09;69.91)

We are 90% confident that the true mean for the speeds of vehicles traveling on a highway is between 60.09 and 69.91 miles per hour.

3 0

3 years ago