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RideAnS [48]
3 years ago
9

Factor the following polynomial. 2x^3– 10x^2 – 12x Enter the GCF of the polynomial.

Mathematics
2 answers:
sweet [91]3 years ago
7 0

Answer:

2x(x - 6)(x + 1)

Step-by-step explanation:

Given

2x³ - 10x² - 12x ← factor out 2x from each term

= 2x(x² - 5x - 6)

To factor the quadratic

Consider the factors of the constant term (- 6) which sum to give the coefficient of the x- term (- 5)

The factors are - 6 and + 1, since

- 6 × 1 = - 6 and - 6 + 1 = - 5, thus

x² - 5x - 6 = (x - 6)(x + 1) and

2x³ - 10x² - 12x = 2x(x - 6)(x + 1) ← in factored form

olga_2 [115]3 years ago
6 0

The equation 2x^{3} -10x^{2} -12x has 2 and x in common. This means you can factor both the 2 and x out of the equation like so...

2x(x^{2} -5x-6)

Hope this helped!

~Just a girl in love with Shawn Mendes

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ASHA 777 [7]

Answer:

60

Step-by-step explanation:

<C+<D = 180 since they form a straight line

5x+20 +3x = 180

8x+20 = 180

Subtract 20 from each side

8x+20-20 = 180-20

8x = 160

Divide by 8

8x/8 = 160/8

x = 20

We want to find angle D

<D = 3x= 3*20 = 60

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3 years ago
You have 19 digs for your current volleyball season. There are 5 games left in the season. You want to break your previous recor
Eduardwww [97]

Answer:

x > 7

Step-by-step explanation:

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2 years ago
What is the volume of the cone? cone v = one-third b h startfraction 70 over 3 endfraction pi centimeters cubed startfraction 14
Bas_tet [7]

Using the assumed values, the volume of the cone is V = \frac {250}3\pi

<h3>How to determine the volume of the cone?</h3>

The volume of a cone is calculated using:

V = \frac 13\pi r^2h

The parameters are not given.

So, we use the following assumed values

Radius, r = 5

Height, h =10

Using the assumed values, we have:

V = \frac 13\pi * 5^2 * 10

Evaluate the product

V = \frac {250}3\pi

Hence, using the assumed values, the volume of the cone is V = \frac {250}3\pi

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7 0
2 years ago
The annual rainfall (in inches) in a certain region is normally distributed with = 40 and = 4. What is the probability that star
sdas [7]

Answer:

0.93970

Step-by-step explanation:

Solution:-

- Denote a random variable "X" The annual rainfall (in inches) in a certain region . The random variable follows a normal distribution with parameters mean ( μ ) and standard deviation ( σ ) as follows:

                          X ~ Norm ( μ , σ^2 )

                          X ~ Norm ( 40 , 4^2 ).

- The probability that it rains more than 50 inches in that certain region is defined by:

                          P ( X > 50 )

- We will standardize our test value and compute the Z-score:

                          P ( Z > ( x - μ )  / σ )

Where, x : The test value

                          P (  Z > ( 50 - 40 )  / 4 )

                          P (  Z > 2.5 )

- Then use the Z-standardize tables for the following probability:

                          P ( Z < 2.5 ) = 0.0062

Therefore,          P ( X > 50 ) = 0.0062

- The probability that it rains in a certain region above 50 inches annually. is defined by:

                           q = 0.0062 ,

- The probability that it rains in a certain region rains below 50 inches annually. is defined by:

                           1 - q = 0.9938

                           n = 10 years   ..... Sample of n years taken

- The random variable "Y" follows binomial distribution for the number of years t it takes to rain over 50 inches.

                          Y ~ Bin ( 0.9938 , 0.0062 )

- The probability that it takes t = 10 years for it to rain:

                         =  10C10* ( 0.9938 )^10 * ( 0.0062 )^0

                         = ( 0.9938 )^10

                         = 0.93970

3 0
3 years ago
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H=2 and h>1, hope that helps
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