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1 year ago

Solve for unknown in 2x^3+6x^2-20x=0

Mathematics

1 answer:

Licemer1 [7]1 year ago

3 0

The solution of x is x = 0, x =2 and x = -5

<h3>How to solve for the unknown?</h3>

The equation is given as:

2x^3+6x^2-20x=0

Factor out x

x(2x^2+6x-20)=0

Split the equation

x = 0 or 2x^2+6x - 20=0

Solve for x in 2x^2+6x - 20=0

Expand the equation

2x^2 + 10x - 4x - 20 = 0

Factorize the equation

(2x - 4)(x +5) = 0

Split the equation

2x - 4 = 0 and x + 5 = 0

Solve for x

x =2 and x = -5

Hence, the solution of x is x = 0, x =2 and x = -5

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The elevations, in feet, of three cities are marked on the number line shown below.

Dmitriy789 [7]

I think the answer it C

7 0

2 years ago

Read 2 more answers

226.19 divided by 2/3

Tanzania [10]

226.19 / 2/3 =
226.19 x 3/2 =
226.19 x 1.5 =
339.285

339.285 is your answer.

5 0

3 years ago

Social media is popular around the world. Statista provides estimate of the number of social media users in various countries in

amm1812

Answer:

Kindly check explanation

Step-by-step explanation:

The data table :

Use of SM _UK _China _ Russia _US _ col total

Yes ______480 __215 ___343 __640 _ 1678

No _______320 _ 285 ___357__ 360 _ 1322

Row Total__ 800 _500 __ 700_ 1000_ 3000

H0 : p1 = p2 = p3 = p4

H1 : p1 ≠ p2 ≠ p3 ≠ p4

Test statistic :

χ² = Σ(observed - Expected)² / Expected

Expected value of each cell = (Row total * column total) / N

N = grand total

Expected Values:

447.467 _279.667 _ 391.533 _ 559.333

352.533 _ 220.333 _ 308.467 _ 440.667

χ²=(2.36536+14.9527+6.01605+11.6337+3.00232 18.9793+7.63611+14.7665) = 79.352

Degree of freedom, df = (row-1)*(column-1) = (2 - 1) * (4 - 1) = 1 * 3 = 3

Using the Pvalue from Chisquare calculator :

Pvalue(79.352, 3) = 0.00000000001

Decision region :

Reject H0 ; If Pvalue < α

α = 0.05

Since 0.000000001 < 0.05 ; Reject H0 and conclude that not all population proportion are equal.

Sample proportion :

Phat = number of yes, x / total

For UK, Phat = 480/800 = 0.6

For China , Phat = 215/500 = 0.43

For Russia , Phat = 343/700 = 0.49

For US, Phat = 640/1000 = 0.64

7 0

3 years ago

Find measurement of arc JL.

Tresset [83]

4x-2 + 7x-18 + 6x+6 = 360 degrees

combine like terms

17x-14 = 360

add 14 to both sides

17x =374

divide both sides by 17
x = 374 / 17 = 22

JL = 7x-18
replace x with 22 and calculate
7(22) - 18 = 154 -18 = 136 degrees

4 0

3 years ago

Suppose the weights of the Boxers at this club are Normally distributed with a mean of 166 pounds and a standard deviation of 5.

lesya [120]

Answer:

0.1994 is the required probability.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 166 pounds

Standard Deviation, σ = 5.3 pounds

Sample size, n = 20

We are given that the distribution of weights is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

Standard error due to sampling =

$=\dfrac{\sigma}{\sqrt{n}} = \dfrac{5.3}{\sqrt{20}} = 1.1851$

P(sample of 20 boxers is more than 167 pounds)

$P( x > 167) = P( z > \displaystyle\frac{167 - 166}{1.1851}) = P(z > 0.8438)$

$= 1 - P(z \leq 0.8438)$

Calculation the value from standard normal z table, we have,

$P(x > 167) = 1 - 0.8006= 0.1994 = 19.94\%$

0.1994 is the probability that the mean weight of a random sample of 20 boxers is more than 167 pounds

3 0

2 years ago

Solve for unknown in 2x^3+6x^2-20x=0​

Solve for unknown in 2x^3+6x^2-20x=0