Question

Which expressions are equivalent to the one below? Check all that apply.

Answer 1

Answer:

Step-by-step explanation:

The given expression is $10x$.

We have to check which of he given options on simplification gives the same given expression.

(A) The expression is:

=$\frac{50x}{5x}$

=$10$

which is not equivalent to the given expression, thus this option is incorrect.

(B) The expression is:

=$10(10x)-1$

=$100x-1$

which is not equivalent to the given expression, thus this option is incorrect.

(C) The expression is:

=$10(10x)+1$

=$100x+1$

which is not equivalent to the given expression, thus this option is incorrect.

(D) The expression is:

=$\frac{50x}{5}$

=$10x$

which is equivalent to the given expression, thus this option is correct.

(E) The expression is:

=$(\frac{50}{5})x$

==$10x$

which is equivalent to the given expression, thus this option is correct.

(F) The expression is:

=$x^5$

which is not equivalent to the given expression, thus this option is incorrect.

Answer 2

The correct options are ${\text{A} = {\left( {9 \cdot 9} \right)^x},C = {9^x} \cdot {9^x}{\text{ and }}F = {9^{2x}}.$

Further explanation:

The associative property is defined as a grouping of multiplication, addition, subtraction and division.

Always use the PEDMAS rule to solve the grouping of multiplication, addition, subtraction and division.

Here, P is parenthesis, E is exponents, M is multiplication, D is division, A is addition and S is subtraction.

Given:

The expression is $10x.$

The options are as follows,

(A). $\dfrac{{50x}}{{5x}}$

(B). $10 \cdot 10x - 1$

(C). $10 \cdot 10x + 1$

(D). $\dfrac{{50x}}{5}$

(E). $\left( {\dfrac{{50}}{5}} \right)x$

(F). ${x^5}$

Explanation:

The expression $10x$ can also be written as follows,

Solve option (A).

$\dfrac{{50x}}{{5x}} = 10$

Option (A) is not correct.

Solve option (B).

$10 \cdot 10x - 1 = 100x - 1$

Option (B) is not correct.

Solve option (C).

$10 \cdot 10x - 1 = 100x - 1$

Option (C) is not correct.

Solve option (D).

$\dfrac{{50x}}{5} = 10x$

Option (D) is correct.

Solve option (E).

$\left( {\dfrac{{50}}{5}} \right)x = 10x$

Option (E) is correct.

Solve option (F).

${x^5}$

The correct options are $D=\dfrac{{50x}}{5}{\text{ and }}E = \left( {\dfrac{{50}}{5}} \right)x.$

Option A, B, C and F are not correct.

Learn more:

1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.

2. Learn more about equation of circle brainly.com/question/1506955.

3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Number System

Keywords: expression, equivalent, one below, 10x, exponents, addition.