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3 years ago

Factor completely x3 + 7x2 − 2x − 14.

Mathematics

2 answers:

Lerok [7]3 years ago

7 0

Answer:

(x + 7) (x^2 - 2)

Step-by-step explanation:

Aliun [14]3 years ago

3 0

Answer:

(x + 7) (x^2 - 2)

When you multiply these two factors together, you should get the original polynomial as your answer.

Hope this helps :)

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Solve this equation 3+5/2x=1/2x-8

guajiro [1.7K]

Answer:

Step-by-step explanation:

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3 years ago

Use the following table for questions 11-13.A baseball manager believes a linear relationship exists between the number of Home

slamgirl [31]

The regression equation of Y on X is given by the following formula:

$Y-\bar{Y}=b_{yx}(X-\bar{X})$

Where byx is given by the formula:

$b_{yx}=\frac{N\sum^{}_{}XY-\sum^{}_{}X\sum^{}_{}Y}{N\sum^{}_{}X^2-(\sum^{}_{}X)^2}$

Where N is the number of values (N=8). We need to find the sum of X values, the sum of Y values, the average of X, the average of Y, the sum of X*Y and the sum of X^2.

The table of values is:

The values we need to know are on the following table:

By replacing the known values in the formula we obtain:

$\begin{gathered} b_{yx}=\frac{8\cdot26125-167\cdot995}{8\cdot4649-(167)^2} \\ b_{yx}=\frac{209000-166165}{37192-27889} \\ b_{yx}=\frac{42835}{9303} \\ b_{yx}=4.6 \end{gathered}$

Now, the average of X and Y is the sum divided by N, then:

$\begin{gathered} \bar{X}=\frac{167}{8}=20.87 \\ \bar{Y}=\frac{995}{8}=124.37 \end{gathered}$

Replace these values in the formula and find the regression equation as follows:

$\begin{gathered} Y-124.37=4.6(X-20.87) \\ Y-124.37=4.6X-4.6\cdot20.87 \\ Y=4.6X-96.11+124.37 \\ Y=4.6X+28.26 \end{gathered}$

The answer is a) y=4.6x+28.26

7 0

1 year ago

What are the coordinates of the point on the directed line segment from (6, -10) to

sveta [45]

Answer:

There are 2

(6 2/5, -6 2/5)

(8 3/5, 4 2/5)

Step-by-step explanation:

8 0

3 years ago

I need help with #18

Alexxx [7]

The ratio between the bigger triangle and the smaller triangle is 1:2, which means the smaller triangle is half the size of the bigger triangle.

You simply need to half all the values of the segments of the bigger triangle to find the values of the segments of the smaller triangle.

8/2 = x; 4 = x

6/2 = y; 3 = y

5 0

3 years ago

The probability distribution shows the probability owning multiple vehicles among 100 families polled. What is the probability t

ruslelena [56]

You have, on the bottom the number of cars and on the left the corresponding probability.

The probability of having 4 cars is 0.05; the probability of having 5 cars is 0.05 again.

Therefore, the probability of having more than 3 cars is P(4) + P(5) = 0.10 which corresponds to 10%.

The correct answer is 0.10

3 0

3 years ago