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Maksim231197 [3]
3 years ago
6

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

Mathematics
2 answers:
V125BC [204]3 years ago
8 0

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.

Whitepunk [10]3 years ago
4 0

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.

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The equation that represents the relationship between the number of liters, x, and the number of liquid pints, y is y = 2.11x

<h3>How to determine the equation?</h3>

The attached table of values represents the missing piece in the question.

Start by calculating the rate of change using:

m = (y2 - y1)/(x2 - x1)

This gives

m = (14.77 - 10.55)/(7- 5)

Evaluate

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