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3 years ago

Find the value of f(3) for the function. f(a)=5(a+4)- 9

Mathematics

1 answer:

Crazy boy [7]3 years ago

4 0

Answer:

f(3) = 26

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

f(a) = 5(a + 4) - 9

f(3) is x = 3

Step 2: Evaluate

Substitute: f(3) = 5(3 + 4) - 9
Add: f(3) = 5(7) - 9
Multiply: f(3) = 35 - 9
Subtract: f(3) = 26

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Answer:

$f(n)=64(\frac{1}{4})^{n-1}$

Step-by-step explanation:

The given sequence is

64, 16, 4, 1

$r_1=\dfrac{a_2}{a_1}=\dfrac{16}{64}=\dfrac{1}{4}$

$r_2=\dfrac{a_3}{a_2}=\dfrac{4}{16}=\dfrac{1}{4}$

$r_3=\dfrac{a_4}{a_3}=\dfrac{1}{4}$

It is a geometric series because it has a common ratio $r_1=r_2=r_3=\dfrac{1}{4}$ .

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Substitute a=64 and r=1/4 in the above function.

$f(n)=64(\frac{1}{4})^{n-1}$

Therefore, the required explicit formula is $f(n)=64(\frac{1}{4})^{n-1}$ .

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Use the calculator to find the product. (1. 466 × 10–8)(5. 02 × 105) What is the coefficient of the product? What is the exponen

mestny [16]

The product of the factors in the given expression comes to be $7.35932 *10^{-3}$ .

The given expression is:

$(1.466*10^{-8} )(5.02*10^5)$

We can rewrite the given expression as

$(1.466*5.02)(10^{-8} *10^5)$

<h3>What is the exponent addition rule? </h3>

If we have two numbers with the same base we can write the product of the numbers as a single base followed by the addition of exponents.

$a^m*a^n = a^{m+n}$

$1.466*5.02=7.35932$

$10^{-8} *10^5 = 10^{-3}$ ....from exponent addition rule

So, $(1.466*10^{-8} )(5.02*10^5)=7.35932 *10^{-3}$

Therefore, the product of the factors in the given expression comes to be $7.35932 *10^{-3}$ .

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