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
postnew [5]
2 years ago
6

Pleease help

Mathematics
1 answer:
umka21 [38]2 years ago
4 0
The answer is <span>quantity x minus 2 over 6 open parentheses x plus 12 close parentheses.
</span>

quantity x squared minus 100 (x² - 100) over quantity x squared plus 2 x minus 120 (x² + 2x - 120)<span> divided quantity 6 x plus 60 (6x + 60) over quantity x minus 2 (x - 2) can be expressed as
</span>\frac{ x^{2} -100}{ x^{2} +2x-120} / \frac{6x+60}{x-2}
<span>
Since </span>\frac{a}{b} / \frac{c}{d}= \frac{a}{b} * \frac{d}{c}= \frac{a*d}{b*c}, then:
\frac{ x^{2} -100}{ x^{2} +2x-120} / \frac{6x+60}{x-2}= \frac{(x^{2} -100)*(x-2)}{(x^{2} +2x-120)*(6x+60)} =

Let's simplify some of the factors:
* x² - 100 = x² - 10² = (x - 10)(x + 10)              (since a² - b² = (a - b)(a + b))
* 6x + 60 = 6 * x + 6 * 10 = 6 * (x+10)
* x² + 2x - 120 =  x² + 12x - 10x - 12 * 10 = (x * x - 10 * x) + (12 * x - 12 * 10) = 
                        = x(x - 10) + 12(x - 10) = (x - 10)(x + 12)

Now substitute this into the expression:
\frac{(x^{2} -100)*(x-2)}{(x^{2} +2x-120)*(6x+60)} = \frac{(x-10)(x+10)(x-2)}{(x-10)(x+12)*6(x10)}

We can cancel (x-10)(x+10):
\frac{(x-10)(x+10)(x-2)}{(x-10)(x+12)*6(x10)} =\frac{(x-2)}{(x+12)*6} =\frac{(x-2)}{6(x+12)}

 \frac{x-2}{6(x+12)} is quantity x minus 2 over 6 open parentheses x plus 12 close parentheses.
You might be interested in
A sample of 100 workers located in Atlanta has an average daily work time of 6.5 hours with a standard deviation of 0.5 hours. A
Readme [11.4K]

Answer:

t=\frac{6.5-6.7}{\sqrt{\frac{0.5^2}{100}+\frac{0.7^2}{110}}}}=-2.398  

df = n_1 +n_2 -2= 100+110-2= 208

Since is a bilateral test the p value would be:

p_v =2*P(t_{208}

Comparing the p value with the significance level given \alpha=0.05 we see that p_v so we can conclude that we can reject the null hypothesis, and we have significant differences between the two groups at 5% of significance.

Step-by-step explanation:

Data given and notation

\bar X_{1}=6.5 represent the sample mean for Atlanta

\bar X_{2}=6.7 represent the sample mean for Chicago

s_{1}=0.5 represent the sample deviation for Atlanta

s_{2}=0.7 represent the sample standard deviation for Chicago

n_{1}=100 sample size for the group Atlanta

n_{2}=110 sample size for the group Chicago

t would represent the statistic (variable of interest)

\alpha=0.01 significance level provided

Develop the null and alternative hypotheses for this study?

We need to conduct a hypothesis in order to check if the meanfor atlanta is different from the mean of Chicago, the system of hypothesis would be:

Null hypothesis:\mu_{1}=\mu_{2}

Alternative hypothesis:\mu_{1} \neq \mu_{2}

Since we don't know the population deviations for each group, for this case is better apply a t test to compare means, and the statistic is given by:

t=\frac{\bar X_{1}-\bar X_{2}}{\sqrt{\frac{s^2_{1}}{n_{1}}+\frac{s^2_{2}}{n_{2}}}} (1)

t-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

Calculate the value of the test statistic for this hypothesis testing.

Since we have all the values we can replace in formula (1) like this:

t=\frac{6.5-6.7}{\sqrt{\frac{0.5^2}{100}+\frac{0.7^2}{110}}}}=-2.398  

What is the p-value for this hypothesis test?

The degrees of freedom are given by:

df = n_1 +n_2 -2= 100+110-2= 208

Since is a bilateral test the p value would be:

p_v =2*P(t_{208}

Based on the p-value, what is your conclusion?

Comparing the p value with the significance level given \alpha=0.05 we see that p_v so we can conclude that we can reject the null hypothesis, and we have significant differences between the two groups at 5% of significance.

3 0
3 years ago
Read 2 more answers
Hi can someone help me with the top question I will mark u brainliest
Zanzabum

Answer:

1/16

Step-by-step explanation:

Find the common denominator between 3/4, 1/8, and 1/16. 3/4 and 1/8 denominator can be 16. Then we have to make their denominator the same so multiply 3/4 with 4/4 and multiply 1/8 with 2/2:

3/4 + 1/8 + 1/16 = 12/16 + 2/16 + 1/16 = 15/16

now canola oil is the only thing left to find so that means:

16/16 - 15/16 = 1/16

5 0
2 years ago
in a 5 day work week, matt puts 175 miles on his car. His wife, Sarah, puts 100 more miles on her car than he does in the amount
Stels [109]

Answer: the is  1560

Step-by-step explanation:

5-day work week, Matt puts 175 miles on his car. His wife, Sarah, puts 100 more and  28 work days

6 0
3 years ago
Look at bth plz help tysm
tangare [24]

Answer:

d

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
In a sale there is 25% off all prices. A chair costs £45 in the sale. How much was it before the sale?
garri49 [273]

Answer:

60 pounds

Step-by-step explanation:

Let the normal price be p.  The "25%-off" sale price is then 0.75p, and this 0.75p equals 45 pounds.  Dividing both sides by 0.75 results in p = 60 pounds.

3 0
2 years ago
Other questions:
  • W is located at -2 and three on a coordinate plane. W is reflected over the X axis to create. W1 point W1 is been reflected over
    10·1 answer
  • PLEASE HELP ILL GIVE MEDALS AND MARK BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!! NEEDS TO BE ALEGABRA 2 MEATHOD!!!!!!!!
    6·1 answer
  • Help me with 1,2,3 pls thx
    7·1 answer
  • 169, plus 169, plus 30plus 125 plus 126 plus 68 plus 125plus 96
    15·2 answers
  • How can I show her numbers are related to each other
    8·1 answer
  • Mrs. Via needs to buy
    9·1 answer
  • The interest on an investment varies directly as the rate of interest. If the interest is $43 when the interest rate is 4%, find
    5·2 answers
  • A new car has a sticker price $20,880, while the invoice price paid on it was
    8·1 answer
  • Solve for x 5x/−6=−40/3 Enter your answer in the box. x =
    15·1 answer
  • Help Thank youu ^^
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!