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dangina [55]
3 years ago
14

How do you solve polynomial equation by factoring 2x^3 - 12x^2 = 32x - 192

Mathematics
1 answer:
Cerrena [4.2K]3 years ago
7 0
2x^3 - 12x^2 = 32x - 192\\
2x^3-12x^2-32x+192=0\\
2(x^3-6x^2-16x+96)=0\\
2(x^2(x-6)-16(x-6))=0\\
2(x^2-16)(x-6)=0\\
2(x-4)(x+4)(x-6)=0\\
x=4 \vee x=-4 \vee x=6
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1-1/6*3/2

multiply the two fractions

1/6*3/2

Cross out 3 and 6, divide by 3.

1/2 * 1/2

multiply the numerators together

1*1=1

multiply the denominators together

2*2=4

1-1/4

pretend that 1 has a denominator which is 1

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find the common denominator for 1/1 which is 4

multiply by 4 for 1/1

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3/4

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3 years ago
A recent study focused on the number of times men and women who live alone buy take-out dinner in a month. Assume that the distr
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3 years ago
An open box with a square base is to have a volume of 18 ft^3.
kotegsom [21]

Answer:

2.29 ft of side length and 1.14 height

Step-by-step explanation:

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Then surface area S = x2 + 4xh because box is open.

b) From V = x2h = 6 we have h = 6/x2.

Substitude in formula for surface area: S = x2 + 4x·6/x2, S = x2 + 24/x.

We get S as function of one variable x. To get minimum we have to find derivative S' = 2x - 24/x2 = 0, from here 2x3 - 24 = 0, x3 = 12, x = (12)1/3 ≅ 2.29 ft.

Then h = 6/(12)2/3 = (12)1/3/2 ≅ 1.14 ft.

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A restaurant records the number of tables served each night, and the results have the values: minimum = 3, lower
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Read 2 more answers
Your friend is trying to grow her hair as long as her cousin's hair. The table (attached) shows their hair lengths (in inches) i
astra-53 [7]

Answer:

a)  y = 1/2x + 5/2

    y = 2/5x + 29/5

b)  hair will be 19 inches for both at 33 months

Step-by-step explanation:

a) rate of growth of friend's hair:  (3, 4) (8, 6.5)  

(6.5 - 4) ÷ (8 - 3) = 2.5/5 or 1/2

find the y-intercept of equation for growth of friend's hair:

y = mx + b

4 = 1/2(3) + b

4 = 3/2 + b

8/2 - 3/2 = b

5/2 = b

equation for growth of friend's hair:

y = 1/2x + 5/2

rate of growth of cousin's hair:  (3, 7) (8, 9)  

(9 - 7) ÷ (8 - 3) = 2/5

find the y-intercept of equation for growth of cousin's hair:

y = mx + b

9 = 2/5(8) + b

9 = 16/5 + b

45/5 - 16/5 = b

29/5 = b

equation for growth of cousin's hair:

y = 2/5x + 29/5

b) y = 1/2x + 5/2

   y = 2/5x + 29/5

1/2x + 5/2 = 2/5x + 29/5

5/10x + 25/10 = 4/10x + 58/10

1/10x = 33/10

10x = 3300

x = 33

8 0
2 years ago
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