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Luda [366]
3 years ago
7

Which of the following options is an equivalent function to f(x) = 4(3)2x?

Mathematics
2 answers:
Furkat [3]3 years ago
8 0
The answer is d because when u multiply the main equation, you have 24x, therefore, of ll the answers in the options only option d, gives u 24x, making d the answer.
Nataliya [291]3 years ago
5 0

Answer: Option D is correct .

Step-by-step explanation:

Since we have given that

f(x)=4(3)2x

f(x)=24x

In option D,

f(x)=4(6x)\\\\f(x)=24x

Otherwise ,

In all other options , there is no other function whose value comes out to be 24x.

Like , in option b,

f(x)=4(9)=36x

which is not equivalent to

f(x)=4(3)2x

Hence, option D is correct.

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QUESTION:

The code for a lock consists of 5 digits (0-9). The last number cannot be 0 or 1. How many different codes are possible.

ANSWER:

Since in this particular scenario, the order of the numbers matter, we can use the Permutation Formula:–

  • P(n,r) = n!/(n−r)! where n is the number of numbers in the set and r is the subset.

Since there are 10 digits to choose from, we can assume that n = 10.

Similarly, since there are 5 numbers that need to be chosen out of the ten, we can assume that r = 5.

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= 10!5!

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2 years ago
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Evaluate the expression.<br> 7.4+6 - 12:4<br><br><br> Plz help me
juin [17]

Answer:

7 . 4 + 6 - 12 : 4 = 31

Step-by-step explanation:

* To solve this problem lets revise the order of operations in

  mathematics

- The operations are:

# Addition

# Subtraction

# Multiplication

# Division

# Exponentiation

# Grouping ⇒ Parenthesis or brackets

- The order of these operations is:

# Parenthesis

# Exponents

# Multiplication and Division which comes first from left to right

# Addition and Subtraction which comes first from left to right

- There is a word made from the first letter of each operation

  PEMDAS to remember the order of operations

* Lets solve the problem

∵ 7 . 4 + 6 - 12 : 4

∵ The (.) means multiply the numbers

∵ The symbol (:) means divided the numbers

∴ At first multiply 7 by 4 and divide 12 by 4

∴ (7 × 4) + 6 - (12 ÷ 4)

∴ 28 + 6 - 3

∵ Addition comes before subtraction from the left

∴ (28 + 6) - 3

∴ 34 - 3 = 31

∴ 7 . 4 + 6 - 12 : 4 = 31

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