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3 years ago

What role does substitution play when determining whether or not a given value is a solution to an equation or an inequality?

Mathematics

1 answer:

Mrac [35]3 years ago

3 0

Answer:

Help verify values

Step-by-step explanation:

I basically help prove that the value fits and verifies that equation or inequality. By substituting a value for the variable within the equation or inequality and then solving it as a regular expression it should correctly output the same value on the other side of the equation or make the inequality true. For example, using the following inequality...

3x + 2 > 4

We can substitute the variable x for 2 and solve the inequality, if the inequality is true then we know that the value 2 is a correct and verified value.

(3*2) + 2 > 4

6 + 2 > 4

8 > 4 ... True

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What are the slope and y. intercept of the linear function

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3 years ago

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Kisachek [45]

Your function is:

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3 years ago

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sphere and a cylinder have the same radius and height. The volume of the cylinder is 54 meters cubed. Amie found the volume of t

Fiesta28 [93]

Answer:

Amie should have multiplied 54 by 2/3

Step-by-step explanation:

The formula of the volume of a sphere is given by

$\frac{4}{3}\pi r^3$ , where r is the radius of the sphere.

to find the volume of the sphere, we must find $r^3$

We know that the formula of a cylinder of height h and radius r is given by

$\pi r^2h$

So $54 = \pi r^2 h$

We know that the sphere and the cylinder have the same height. Recall that the height of the sphere of radius r, is the diameter of a circle that passes through the heighest and lowest points of the sphere. Then, h=2r. This means that

$54 = 2\pi r^3$

From here, we know that $\pi r^3 = \frac{54}{2}$ .

So the volume of the sphere is $\frac{4}{3}\frac{54}{2} = \frac{2}{3}\cdot54$ .

So Amie should have multiplied 54 by 2/3.

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4 years ago

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