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2 years ago

Factor x 2 + xy - 2x - 2y. (x + 2)(x - y) (x + y)(x - 2) (x - y)(x + 2)

2 answers:

4 0

X² + xy - 2x - 2y
The first thing would be to break the polynomial up into pairs.
(x² + xy) + (-2x -2y)
Then you can factor them individually.
(x² + xy)
Both numbers have x in common, so you can factor it out and get
x(x + y)
Then you factor the other pair,
(-2x -2y)
Both numbers have -2 in them, so you can factor it out and get
-2(x + y)
Now your two pairs are
[x (x + y)] and [-2 (x + y)]
Notice that the two terms in parentheses are the same, so you can get rid of one and combine the two outside terms to get a final answer of
(x - 2)(x + y)

Art [367]2 years ago

4 0

Answer:

Your answer is (x+y)(x-2)

Step-by-step explanation:

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dusya [7]

Answer:

Step-by-step explanation:

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2 years ago

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The table below represents an exponential function what is the common ratio

Greeley [361]

Solution:

Given:

A table representing an exponential function.

The x-values represent the terms, while the y-values represent the numbers.

The common ratio is gotten from the numbers (y-values).

The formula for common ratio is given by;

$\begin{gathered} r=\frac{present\text{ term}}{preceed\text{ ing term}} \\ \\ \text{Hence,} \\ r=\frac{108}{36}=\frac{36}{12}=\frac{12}{4}=\frac{4}{1.33\ldots}=\frac{1.33\ldots.}{0.44\ldots} \\ r=3 \end{gathered}$

Therefore, the common ratio is 3.

3 0

1 year ago

∠1 and ∠2 are vertical angles. ∠2 has a measure of 93°. What is the measure of ∠1 ? Enter your answer in the box. °

kirza4 [7]

The measure of ∠1 is also <span>93° because vertically opposite angles are equal.</span>

6 0

3 years ago

Read 2 more answers

We're testing the hypothesis that the average boy walks at 18 months of age (H0: p = 18). We assume that the ages at which boys

marusya05 [52]

Answer:

II. This finding is significant for a two-tailed test at .01.

III. This finding is significant for a one-tailed test at .01.

d. II and III only

Step-by-step explanation:

1) Data given and notation

$\bar X=19.2$ represent the battery life sample mean

$\sigma=2.5$ represent the population standard deviation

$n=25$ sample size

$\mu_o =18$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

2) State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean battery life is equal to 18 or not for parta I and II:

Null hypothesis: $\mu = 18$

Alternative hypothesis: $\mu \neq 18$

And for part III we have a one tailed test with the following hypothesis:

Null hypothesis: $\mu \leq 18$

Alternative hypothesis: $\mu > 18$

Since we know the population deviation, is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

3) Calculate the statistic

We can replace in formula (1) the info given like this:

$z=\frac{19.2-18}{\frac{2.5}{\sqrt{25}}}=2.4$

4) P-value

First we need to calculate the degrees of freedom given by:

$df=n-1=25-1=24$

Since is a two tailed test for parts I and II, the p value would be:

$p_v =2*P(t_{(24)}>2.4)=0.0245$

And for part III since we have a one right tailed test the p value is:

$p_v =P(t_{(24)}>2.4)=0.0122$

5) Conclusion

I. This finding is significant for a two-tailed test at .05.

Since the $p_v$ . We reject the null hypothesis so we don't have a significant result. FALSE

II. This finding is significant for a two-tailed test at .01.

Since the $p_v >\alpha$ . We FAIL to reject the null hypothesis so we have a significant result. TRUE.

III. This finding is significant for a one-tailed test at .01.

Since the $p_v >\alpha$ . We FAIL to reject the null hypothesis so we have a significant result. TRUE.

So then the correct options is:

d. II and III only

6 0

3 years ago

Use the triangle below and the given trigonometric ratio to determine which angle in the triangle below is

4vir4ik [10]

Cosine is the ratio of the adjacent side to the hypotenuse.

In short, we have this equation
cos(angle) = adjacent/hypotenuse

In the case of cos(A) = 18/19.5 we can see that
adjacent = 18
hypotenuse = 19.5

The side of 18 cm is next to angle 2, so the 18 cm side is adjacent to angle 2 (in contrast, the 7.5 cm side is the opposite leg in relation to angle 2)

So that's why the answer is angle 2
In other words, replace the '2' angle marker with 'A' to be able to write cos(A) = 18/19.5

7 0

3 years ago