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Ivahew [28]
3 years ago
14

A talent competition on television had five elimination rounds. After each elimination, only one-third of the contestants were s

ent to the next round. The table below shows the number of contestants in each round of the competition.
x12345
f(x)243812793


Compute the average rate of change of f(x) from x = 1 to x = 4 and describe what it represents.
Mathematics
2 answers:
denis-greek [22]3 years ago
8 0

Answer:

<em>Average rate of change is </em><em>-78.</em>

Step-by-step explanation:

A talent competition on television had five elimination rounds. After each elimination, only one-third of the contestants were sent to the next round.

The table that shows the number of contestants in each round of the competition is,

x     f(x)

1      243

2     81

3     27

4     9

5     3

Average rate of change is the change in the y-value divided by the change in the x-value for two points on the graph.

i.e \dfrac{f(x_2)-f(x_1)}{x_2-x_1}

So, the average rate of change of f(x) from x = 1 to x = 4 is,

=\dfrac{f(4)-f(1)}{4-1}

=\dfrac{9-243}{4-1}

=\dfrac{-234}{3}

=-78

Since f(x) is decreasing, so rate of change is negative.

Ugo [173]3 years ago
3 0
For the answer to the question above, 

Given the number of the contestants in each round:

X      1     2     3    4    5

F(x) 243  81  27   9     3

The rate of change can be calculated using y2-y1/x2-x1 formula. From rounds 1 to 4 the rate of change are

-162, -54, -18. And the average of it is -78 and it represents the average rate at which the number of contestants changed from the first round to the fourth round.

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Step-by-step explanation:

To do this, we just need to divide 256 by each of the numbers.

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Then divide 32 by 4

32/4 = 8.

Therefore your answer is 8 cm.

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3 0
3 years ago
WILL MARK BRAINLIEST!!!
MAXImum [283]

Distance between Brad and bombs falling location we need

  • Hypotenuse=H=41m
  • Perpendicular=P=40m

Base be B

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3 0
2 years ago
After 10 months the simple interest of a 6,000 investment was $769. What is the interest rate
slega [8]

Answer:

Interest rate ( <em>r </em>) = 15.38% or 0.1538

Step-by-step explanation:

Given the principal (P) = $6,000, and the simple interest of $769 earned after 10 months:

We can determine the interest rate (<em>r</em> ) by creating its formula algebraically, then use the equation to solve for its value.  

Using the simple interest formula,  

<em>I </em>=<em> P </em>× <em>r </em>×<em> t </em>

where:

I = interest amount = $769

P = present value of the principal = $6,000

r = interest rate

t = time  = 10/12 (10 months out of 12 months) = 0.83333

I = P × r × t

Divide both sides by P × t:

I / ( P × t ) = P × t × r / ( P × t )

I / ( P × t ) = r

Therefore, the formula for the interest rate is:<em> </em><em>r</em> = <em>I</em> / ( <em>P</em> × <em>t</em> )

Substitute the given values into the formula to solve for r:

r = I / ( P × t )

r = $769 / ($6,000 × 0.83333)

r = $769/ 4,999.99999

r = 0.1538 or 15.38%

I'd greatly appreciate it if you could please mark my answers as the Brainliest, if you find this solution helpful :)

8 0
2 years ago
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