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3 years ago

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Mathematics

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sergij07 [2.7K]3 years ago

8 0

Answer:

Step-by-step explanation:

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Could someone explain why the value of x is (-2).

irina [24]

Answer:

$x=-2$

Step-by-step explanation:

Given equation:

$2x^3+16=0$

To solve for the unknown variable x, apply arithmetic operations to isolate the variable.

Subtract 16 from both sides:

$\implies 2x^3+16-16=0-16$

$\implies 2x^3=-16$

Divide both sides by 2:

$\implies \dfrac{2x^3}{2}=\dfrac{-16}{2}$

$\implies x^3=-8$

Take the cube root of both sides:

$\implies \sqrt[3]{x^3}=\sqrt[3]{-8}$

$\implies x=-2$

When taking the cube root of a negative number, the result will be negative. To understand why, examine what happens when we cube a negative number.

When a number is cubed, it is multiplied by itself, then by itself again.

When multiplying a negative number by another negative number, the result is always positive.

When multiplying a positive number by a negative number, the result is always negative.

Therefore:

$\begin{aligned}\implies (-2)^3 &= -2 \cdot -2 \cdot -2\\ & = 4 \cdot -2\\& = -8\end{aligned}$

So if -8 is cube rooted, the result is -2.

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2 years ago

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What is nearest whole number of 14.603

motikmotik

15 is the nearest whole number to that number

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3 years ago

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Which statement describes the relationship between kilograms and grams?

dangina [55]

C a kilogram is 1,000 grams

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3 years ago

A large farm tractor costs $98,424. If a farmer makes 36 equal payments, how much is each payment

mrs_skeptik [129]

Answer:

$2734

Step-by-step explanation:

$98,424 / 36 = $2734

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3 years ago

Quickly Need help ASAP

AleksandrR [38]

Answer:

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Step-by-step explanation:

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