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3 years ago

How to simplify expressions

Mathematics

1 answer:

Vadim26 [7]3 years ago

7 0

Answer:

on https://www.storyofmathematics.com it says

To simplify any algebraic expression, the following are the basic rules and steps:

Remove any grouping symbol such as brackets and parentheses by multiplying factors.

Use the exponent rule to remove grouping if the terms are containing exponents.

Combine the like terms by addition or subtraction.

Combine the constants.

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Read 2 more answers

The table represents an exponential function.

MArishka [77]

Question Correction

The table represents an exponential function. What is the multiplicative rate of change of the function?

(A)1/3 (B)2/3 (C)2 (D)9

$\left|\begin{array}{c|c}x&y\\--&--\\1&9\\2&6\\3&4\\4&\dfrac83\\\\5&\dfrac{16}{9}\end{array}\right|$

Answer:

(B) $\dfrac{2}{3}$

Step-by-step explanation:

An exponential function is a function of the form

$y= a (b)^{x}$

where a is the initial value and b is the multiplicative rate of change

When x=2, y=6, we have:

$6= a (b)^{2}$

When x=3, y=4, we have:

$4= a (b)^{3}$

Dividing the two equations:

$\dfrac{a (b)^{3}}{a (b)^{2}} =\dfrac{6}{9} \\b=\dfrac{6}{9}\\b=\dfrac{2}{3}$

The multiplicative rate of change, b is $\dfrac{2}{3}$ .

The correct option is B.

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