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Neporo4naja [7]
4 years ago
5

How do I factor 2x^3+250

Mathematics
2 answers:
svp [43]4 years ago
6 0
2x^3+250
2(x^3 +125)
-125 = x^3
cuberoot(-125) = x
x=-5
In-s [12.5K]4 years ago
5 0
<span>2x^3 + 250 =</span>

The first rule of factoring is to always try to factor a common factor from all terms. The terms here are 2x^2 and 250. They have the factor 2 in common.

= 2(x^3 + 125)

Now you have a two-term polynomial.
The known two term polynomials that can be factored are a difference of two squares and a sum and a difference of two cubes. You obviously have a sum. x^2 and 125 are perfect cubes.

= 2(x^2 + 5^3)

You have a sum of cubes.
Now you must follow the pattern of the factorization of a sum of cubes which is:

        a^3 + b^3 = (a + b)(a^2 - ab + b^2)

If you follow that pattern, you will get

= (x + 5)(x^2 - 5x + 25)

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Elis [28]

Answer:

Sum of their present ages  = 20 years

Step-by-step explanation:

Present age :

   Neha's age = x years

Reemas' age = x - 4

After 5 years:

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       Reemas' age = (x - 4 + 5 ) = x + 1

Sum of the ages of Reema and Neha will be 30

Therefore,    

x + 5  + x + 1 = 30

x + x + 5 + 1 = 30

   2x +  6    = 30

            2x = 30 - 6

           2x = 24

             x = 24/2

            x = 12

Neha's age = 12 years

Reema's age = 12 - 4 = 8 years

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4 0
3 years ago
A fence is to be built to enclose a rectangular area of 800 square feet. The fence along three sides is to be made of material t
myrzilka [38]

Answer:

dc/dx = 0 when x = 20. hence fence is 20×40

Step-by-step explanation:

Given data:

Rectangular Area = 800 ft^2

three side material cost = $5 per ft

fourth side material cost is $15 per ft

let expensive side is x and other dimension assume to be y

Then cost is c

c = 5(x+ 2y) + 15 x

xy = 800, so y = 800/x

c =5(x+ 1600/x^2) + 15x

for minimum when dc/dx = 0

\frac{dc}{dx} = 5(1-\frac{1600}{x^2}) + 15 = 0

5(1-\frac{1600}{x^2}) +  15 = 0

(1-\frac{1600}{x^2}) + 3 = 0

(1-\frac{1600}{x^2}) = - 3

x^2 - 1600 = -3x^2

4x^2 - 1600 = 0

(2x-40)(2x+40) = 0

x = 20

dc/dx = 0 when x = 20. hence fence is 20×40

3 0
4 years ago
How to you convert 20 degrees to radians?
suter [353]

Answer:

0.349066

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
You fly in a helicopter for 20 minutes that goes at a speed of 240 km per hour how far did you go
Step2247 [10]
You would go 80km. This is because a third of 280km is 80km and a third of an hour is 20minutes so just divide the speed by 3.
4 0
3 years ago
Read 2 more answers
Twelve shirts and three pairs of jeans cost $85.95 . Fifteen shirts and 2 pair of jeans costs $93.55.
Nesterboy [21]

Answer:

12s +3j= 85.95

15s +2j= 93.55

Step-by-step explanation:

First, define the variables:

Let the cost of a shirt be $s and the cost of a pair of jeans be $j.

From the first sentence:

12s +3j= 85.95 -----(1)

From the second sentence:

15s +2j= 93.55 -----(2)

5 0
3 years ago
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