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Anna11 [10]
4 years ago
14

which ordered pair is a solution of the equation y=4x-7 A. only (2,1) B. only (4,9) C. Both (2,1) and ( 4,9) D Neither

Mathematics
1 answer:
Sphinxa [80]4 years ago
7 0

Hey there! :)

Answer:

C. Both (2,1) and (4,9)

Step-by-step explanation:

To solve this question, simply plug in the coordinates of answer choices given into y = 4x - 7:

A.

1 = 4(2) - 7

1 = 8 - 7

1 = 1. A is correct.

B.

9 = 4(4) - 7

9 = 16 - 7

9 = 9. B is correct.

Therefore, the correct answer is C. Both (2,1) and (4,9) are solutions to this equation.

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The <em>algebraic</em> expression x^{10/3} is equivalent to the <em>algebraic</em> expression x^{3}\cdot \sqrt[3]{x}. Thus, the right choice is option D.

<h3>How to apply power and root properties to rewrite a given expression</h3>

In this question we must apply the following set of <em>algebraic</em> properties to simplify a given expression:

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And also by apply the definition of power.

If we know that the given expression is x^{10/3}, then the equivalent expression is:

x^{10/3} = \sqrt[3]{x^{10}} = \sqrt[3]{x^{9}\cdot x} = \sqrt[3]{x^{9}}\cdot \sqrt[3]{x} = x^{3}\cdot \sqrt[3]{x}

The <em>algebraic</em> expression x^{10/3} is equivalent to the <em>algebraic</em> expression x^{3}\cdot \sqrt[3]{x}. Thus, the right choice is option D.

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Brainliest?

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