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ValentinkaMS [17]
3 years ago
11

What is the factored form of x^3 + 125?

Mathematics
2 answers:
Lerok [7]3 years ago
7 0

x^3+125=x^3+5^3

Sums of cubes can be factored as

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

So

x^3+125=(x+5)(x^2+5x+25)

lukranit [14]3 years ago
4 0

Answer:C

Step-by-step explanation:

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Alfredo got 1/6th of the Cookie
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Jan wants to protect the wooden box in question 4a by painting varnish on all of the outside surfaces, including the bottom. Wil
Dafna1 [17]

Answer:

As this question is incomplete, but we will try to solve this question by adding our own data to understand the concept of the problem.

Explanation is given below

Step-by-step explanation:

As this question is incomplete, but we will try to solve this question by adding our own data to understand the concept of the problem.

In order to answer this question we need to have the dimensions of the box.

Let's suppose there are 6 outside surfaces of the box and are equal in dimension including the bottom side which Jan wants to varnish.

So,

Let's suppose,

Surface area of the cube = 6a^{2}

Here, Surface area = 275 square inch

Surface area of the cube = 6a^{2} = 275 square inch

a^{2} = 275/6 = 45.833

a = \sqrt{45.833}

a = 6.77 inches

Now, for the amount of the varnish, we need the spreading rate of the varnish to be used on the box,

Let's suppose it is = 11 square incher per litre.

So,

Required Varnish = Surface area / Spreading rate

Required varnish = 275 / 11

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6 0
3 years ago
What is the value of x in theequation 2.5 (6x - 4) = 10 + 4 (1.5 +0.5 x)?
Zarrin [17]

Answer:

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Step-by-step explanation:

Let's solve your equation step-by-step.

2.5(6x−4)=10+4(1.5+0.5x)

Step 1: Simplify both sides of the equation.

2.5(6x−4)=10+4(1.5+0.5x)

(2.5)(6x)+(2.5)(−4)=10+(4)(1.5)+(4)(0.5x)(Distribute)

15x+−10=10+6+2x

15x−10=(2x)+(10+6)(Combine Like Terms)

15x−10=2x+16

15x−10=2x+16

Step 2: Subtract 2x from both sides.

15x−10−2x=2x+16−2x

13x−10=16

Step 3: Add 10 to both sides.

13x−10+10=16+10

13x=26

Step 4: Divide both sides by 13.  

x=2

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3 years ago
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Answer:

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