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nekit [7.7K]
3 years ago
5

HURRY PLEASEEEEE I RLLY NEED THISSS

Mathematics
2 answers:
lilavasa [31]3 years ago
8 0

Answer:

Option 2

Step-by-step explanation:

Given function:

  • x=8 and y=6
  • x=5 and y=20

<em><u>Option 1: ×</u></em>

Table one: y=8-6

if y is 6 then 8-6 can’t be 6 it is 2.

<u><em>Option 2: √</em></u>

Table one:

y=8-2

y would be 6 then this would be correct..

Table two:

y=4x

if y=20 then x would be 5 and if y is 16 then x=4.

<u><em>Option 3:×</em></u>

y=4x

this is wrong since table 2 is y=4x..

<u><em>Option 4:×</em></u>

Table one

y=x-4

if y is 6 and x is 8 then this is wrong..

Therefore, option 2 is correct..

NemiM [27]3 years ago
3 0
The answer is option 2
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Step-by-step explanation:

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A multiple choice test has two parts. There are 4^12 ways to answer the 12 questions in Part A. There are 4^5 ways to answer the
LiRa [457]

Using the Fundamental Counting Theorem and the probability concept, it is found that:

  • There are 4^{17} ways to answer all 17 questions.
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<h3>What is the Fundamental Counting Theorem?</h3>
  • It is a theorem that states that if there are n things, each with n_1, n_2, \cdots, n_n ways to be done, each thing independent of the other, the number of ways they can be done is:

N = n_1 \times n_2 \times \cdots \times n_n

<h3>What is a probability?</h3>
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In this problem:

  • The questions in part A and in part B are independent.
  • For the 12 questions in part A, there are 4^{12} ways to answer, hence n_1 = 4^{12}.
  • For the 5 questions in part B, there are 4^{5} ways to answer, hence n_2 = 4^{5}.

Then:

N = n_1 \times n_2 = 4^{12} \times 4^5 = 4^{17}

There are 4^{17} ways to answer all 17 questions.

Only one outcome in which all the guesses are correct, hence:

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8 0
3 years ago
Find the average rate of change of f(x) = 4x² – 3 from 3 to 9.
Lina20 [59]

Answer:

44

Step-by-step explanation:

Given:

f(x) = 4x^2 - 3

Required:

Average range of change from 3 to 9

SOLUTION:

Step 1:

Find f(3) and f(9):

To find f(3), replace x with 3 in the given function

f(3) = 4(3)^2 - 3

f(3) = 4(9) - 3

f(3) = 36 - 3

f(3) = 33

To find f(9), replace x with 9 in the given function

f(9) = 4(9)^2 - 3

f(9) = 4(81) - 3

f(9) = 324 - 3

f(9) = 321

Average rate of change = \frac{f(b) - f(a)}{b - a}

Where,

a = 3, f(a) = 33

b = 9, f(b) = 321

Plug in the values into the formula for average rate of change.

= \frac{321 - 33}{9 - 3}

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Average rate of change = 44

3 0
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Answer:

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