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8090 [49]
3 years ago
15

Which equation justifies why 93-3√9?

Mathematics
1 answer:
Simora [160]3 years ago
5 0

Considering the conversion from exponent to radical, the equation that justifies why the expression 9^{\frac{1}{3}} = \sqrt[3]{9} is correct is.

(9^{\frac{1}{3}})^{3} = 9^{\frac{3}{3}} = 9

<h3>How is the conversion from exponent to radical realized?</h3>

The conversion of rational exponents to radical notation is modeled by:

a^{\frac{n}{m}} = \sqrt[m]{a^n}

In this problem, the expression is:

9^{\frac{1}{3}} = \sqrt[3]{9}

And the equation that shows that this is correct is:

(9^{\frac{1}{3}})^{3} = 9^{\frac{3}{3}} = 9

More can be learned about the conversion from exponent to radical at brainly.com/question/19627260

#SPJ1

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What are the coordinates of the vertex of the function f(x)=x^2+10x−3? (–5, –28) (–5, 28) (5, –28) (5, 28)
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Answer:

(-5,-28)

Step-by-step explanation:

Given

f(x)=x^2+10x - 3

Required

Find the coordinates of the vertex

Given that the function is a quadratic function;

The general form of a quadratic function is

f(x)= ax^2+bx +c

By comparison;

a = 1\ b = 10\ and\ c = -10

To calculate the coordinates of the vertex;

we start by calculating the x-coordinate;

x = \frac{-b}{2a}

Substitute 10 for b and 1 for a

x = \frac{-10}{2*1}

x = \frac{-10}{2}

x = -5

Substitute x = -5 in the given function;

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