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3 years ago

This table shows values that represent an exponential function.

Mathematics

1 answer:

Sati [7]3 years ago

3 0

Answer:

y=21

Step-by-step explanation:

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Practice simplifying rational expressions with negative exponents.

Gelneren [198K]

Answer:

Part 1:- option first is correct

$-\frac{1}{2}ab^{12}$

Part 1:- option third is correct

$\frac{w^{10}}{3y^{4}}$

Step-by-step explanation:

Given:

The given ration expressions are.

1. $\frac{-2a^{2}b^{4}}{4ab^{-8}}$

2. $\frac{-5w^{4}y^{-2}}{-15w^{-6}y^{2}}$

We need to simplify the given expressions.

Solution:

Part 1:-

Given expression is

$=\frac{-2a^{2}b^{4}}{4ab^{-8}}$

Using law of exponents $\frac{x^{m} }{x^{n} } = x^{(m-n)}$

$=-\frac{a^{2-1}b^{4-(-8)}}{2}$

$=-\frac{a^{1}b^{4+8}}{2}$

$=-\frac{ab^{12}}{2}$

$=-\frac{1}{2}ab^{12}$

Therefore, option first $-\frac{1}{2}ab^{12}$ is correct.

Part 2:-

Given expression is.

$=\frac{-5w^{4}y^{-2}}{-15w^{-6}y^{2}}$

Using law of exponents $\frac{x^{m} }{x^{n} } = x^{(m-n)}$

$=\frac{w^{4-(-6)}y^{-2-2}}{3}$

$=\frac{w^{4+6}y^{-4}}{3}$

$=\frac{w^{10}y^{-4}}{3}$

$=\frac{w^{10}}{3y^{4}}$

Therefore, third option $\frac{w^{10}}{3y^{4}}$ is correct.

4 0

3 years ago

Which figure has a perimeter closer to the circumference of a circle, a regular polygon with 24 sides or a regular polygon with

Mandarinka [93]

Answer:

A regular polygon with 48 sides

see the explanation

Step-by-step explanation:

we know that

As the number of sides of a regular polygon increase, the internal angle can come very close to 180°, and the shape of the polygon approaches that of a circle

As the number of sides of a regular polygon increase, the polygon gets closer and closer to a true circle

therefore

A regular polygon with 48 sides, because as the number of sides of a polygon 48, the perimeters of the polygons get closer to the circumference of the circle

6 0

3 years ago

What is 1/6 + 1/4 + 1/3

IgorC [24]

The answer is 9/12

Brainliest pls

6 0

4 years ago

Read 2 more answers

Solve for x in the equation x2 - 4x-9= 29

max2010maxim [7]

Shhjujtitytjtutyrktjrjtjjtejhw rye

7 0