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Levart [38]
3 years ago
5

Factorise x^2-x-6 please help

Mathematics
2 answers:
Murljashka [212]3 years ago
5 0

Answer:

x^2-3x+2x-6=0

x(x-3)+ 2(x-3)=0

(x+2)(x-3)=0

x=3,-2

max2010maxim [7]3 years ago
3 0

Answer:

Ask: Which two numbers add up to -1 and multiply to -6

-3 and  

2. Rewrite the expression using the above.

(x-3)(x+2)

Step-by-step explanation:

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3 years ago
Toll Brothers is a luxury home builder that would like to test the hypothesis that the average size of new homes exceeds 2,400 s
boyakko [2]

Answer:

Since the pvalue of the test is 0.09 > 0.01, we do not reject the null hypothesis that the average size of new homes is of 2400 square feet.

Step-by-step explanation:

Toll Brothers is a luxury home builder that would like to test the hypothesis that the average size of new homes exceeds 2,400 square feet. Test to see if the average size of new homes exceeds 2,400 square feet.

At the null hypothesis, we test if the average is of 2400 square feet, that is:

H_o: \mu = 2400

At the alternate hypothesis, we test if the average is greater than 2400 square feet, that is:

H_a: \mu > 2400

The test statistic is:

Since we have the standard deviation for the sample, we use the t-distribution.

t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.

2400 is tested at the null hypothesis:

This means that \mu = 2400

A random sample of 36 newly constructed homes had an average of 2,510 square feet with a sample standard deviation of 480 square feet.

This means that n = 36, X = 2510, s = 480

Test statistic:

t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}

t = \frac{2510 - 2400}{\frac{480}{\sqrt{36}}}

t = 1.375

Pvalue of the test and decision:

The pvalue of the test is the probability of finding a sample mean of at least 2510, which is the pvalue of t = 1.375 with 36 - 1 = 35 degrees of freedom, using a one-tailed test.

With the help of a calculator, this pvalue is of 0.09

Since the pvalue of the test is 0.09 > 0.01, we do not reject the null hypothesis that the average size of new homes is of 2400 square feet.

6 0
2 years ago
How does the mean and median change from plot 1 to plot 2?
Elena-2011 [213]

Answer:

It’s B maybe not 100%

sure

Step-by-step explanation:

lol tell me if I’m correct

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3 years ago
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Nastasia [14]

Answer:

x=2 and  y=3

Step-by-step explanation:

3x+2y=12

3(2) + 2(3)

6 + 6 = 12

12x+8y=48

12(2) + 8(3)

24+24=48

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O,60 is the same rotation as O,<br><br> A. -300<br> B. 120<br> C. 300
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The correct answer to the question that is being asked and presented above would be letter a. The problem '<span>O,60 is the same rotation as O,' should have the answer -300. Since both of them lie on the first quadrant when computed for the rotation.</span>
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