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2 years ago

Factor completely, the expression: 2x^3-2x^2-12x

1 answer:

muminat2 years ago

8 0

$2x^3-2x^2-12x=2x(x^2-x-6)=(*)\\\\------------------------------\\x^2-x-6\\\\a=1;\ b=-1;\ c=-6\\\\\Delta=(-1)^2-4\cdot1\cdot(-6)=1+24=25\\\\\sqrt\Delta=\sqrt{25}=5\\\\x_1=\frac{1-5}{2\cdot1}=\frac{-4}{2}=-2;\ x_2=\frac{1+5}{2\cdot1}=\frac{6}{2}=3\\\\x^2-x-6=(x+2)(x-3)\\\\------------------------------\\\\(*)=2x(x+2)(x-3)$

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Which special version of the Pythagorean Theorem can you use to find the length of any squares diagonal, d, using only the lengt

EleoNora [17]

The square's diagonal is the triangle's hypotenuse.

The Pythagorean theorem is = $a^{2}+b^{2}=c^{2}$

Here, 'c' is the hypotenuse and 'a' and 'b' are the two sides of the triangle.

As the side is given 12 inches, so this becomes

$12^{2}+12^{2}=d^{2}$

$144+144=d^{2}$

$d^{2}=288$

$d=\sqrt{288}$

$d=16.97$ inches

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2 years ago

The diameter of a circle is 6.8 m. Find the circumference to the nearest tenth<br>

matrenka [14]

Answer:

21.4m

Step-by-step explanation:

Circumference : x diameter

is approximately 3.142

3.142 x 6.8 = 21.3656

Nearest tenth = 21.4m

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1 year ago

Choose Yes or No to tell whether the Addition Property of Inequality can be used to solve each statement.

balu736 [363]

Answer:

yes,no, no, yes

Step-by-step explanation:

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2 years ago

Regarding the violation of multicollinearity, which of the following description is wrong?

MA_775_DIABLO [31]

Complete question is;

Regarding the violation of multicollinearity, which of the following description is wrong?

a. It changes the intercept of the regression line.

b. It changes the sign of the slope.

c. It changes the slope of the regression line.

d. It changes the value of F-tests.

e. It changes the value of T-tests

Answer:

a. It changes the intercept of the regression line

Step-by-step explanation:

Multicollinearity is a term used in multiple regression analysis to show a high correlation between independent variables of a study.

Since it deals with independent variables correlation, it means it must be found before getting the regression equation.

Now, looking at the options, the one that doesn't relate with multicollinearity is option A because the intercept of the regression line is the value of y that is predicted when x is 0. Meanwhile, multicollinearity from definition above does in no way change the intercept of the regression line because it doesn't predict the y-value when x is zero.

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2 years ago

Ruth knows she has a 25% chance of having a child with blue eyes and a 75% chance of having a child with brown eyes. Ruth consid

blondinia [14]

There is two event that needs to be made: 1. blue eyes, and 2. brown eyes. A spinner is made with a circle. A full circle has 360 degrees and it would be divided based on the probability of the event.
Blue eyes have 25% chance, so the angle of the spinner would be 25%*360°= 90°
Brown eyes have 75% chance, so the angle of the spinner would be 25%*360°= 270°

So, the 90° of the circle would be written as 1(blue eyes) and 270° of the circle will be written as 2(brown eyes).

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2 years ago