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3 years ago

14

What is the difference between the number of solutions for a two-step equation and for a two-step inequality

1 answer:

Sophie [7]3 years ago

7 0

Answer:

A two-step equation is something like:

A*X + B = C

In this case, like in a linear equation, we have only one solution that can be found as:

A*X = C - B

X = (C - B)/A

In the case of a two-step inequality, we have something like:

A*X + B > C

Solving this we get;

A*X > C - B

X > (C - B)/A

In this case, any value of X that is larger than (C - B)/A is a solution, so in this case, we have infinite solutions.

That is the difference between the number of solutions for each case, in a two-step equation we have only one, while in the case of the inequality we have infinite.

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Makovka662 [10]

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4 years ago

Evaluate 3/2 y - 3 + 5/3 z when y=<br> 4 and z = 3

pychu [463]

<h2>Answer: 8</h2>

Step-by-step explanation:

1. (3/2*4) - 3 +( 5/3*3)

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4 years ago

Jose asks his friends to guess the higher of two grades he received on his math tests. He gives them two hints. The difference o

denis23 [38]

Option D. 96 is the correct answer.

Explanation:

Let the higher grade be = x

Let the lower grade be = y

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The sum of one-eighth of the higher grade and one-half of the lower grade is 52.

$\frac{1x}{8}+\frac{1y}{2}=52$ ... (2)

Putting the value of x=16+y in equation (2)

$\frac{16+y}{8}+\frac{y}{2}=52$

$\frac{16+y+4y}{8}=52$

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4 years ago

Simplify -12x^4/x^4+8x^5

alexgriva [62]

Answer:

OPTION A: $\frac{12}{1 + 8x}$ , where $x \ne - \frac{1}{8}$ .

Step-by-step explanation:

Given: $\frac{- 12x^4}{x^4 + 8x^5}$

Taking $x^4$ common outside in the denominator, we get:

$= \frac{-12x^4}{(x^4)(1 + 8x)}$

$x^4$ will get cancelled on the numerator and denominator, we get:

$= \frac{-12}{1 + 8x}$

we know that the denominator can not be zero.

That means, 1 + 8x $\ne$ 0.

$\implies 8x \ne -1$

$\implies x \ne \frac{-1}{8}$

So, the answer is: $\frac{-12}{1 + 8x}$ , where $x \ne \frac{-1}{8}$ .

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4 years ago

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spayn [35]

Answer:

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4 years ago