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2 years ago

The distance that Scott walks is a function of the time he spends walking. Scott can walk 1 half

Mathematics

1 answer:

MaRussiya [10]2 years ago

8 0

Step-by-step explanation:

It is given that,

The distance that Scott walks is a function of the time he spends walking. Scott can walk 1 half mile every 8 minutes.

Let y is the distance (in miles) and x is time (in minutes).

$\dfrac{0.5}{8}=\dfrac{y}{x}\\\\\dfrac{x}{y}=16\\\\y=\dfrac{x}{16}$

The attached graph predicts the shape of the function. Hence, this is the required solution.

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2 years ago

A student uses the method of successive approximations to estimate a positive solution of f(x) = g(x), where f(x) = x2 + 10 and

serious [3.7K]

Answer:

The next number selected should be between 2 and 3 .

Step-by-step explanation:

x. x f(x) g(x)

0 10 17

1 11 19

2 14 21

3 19 23

4 26 25

3.5 22.25 24

<u>2.5 16.25 22</u>

1.5 12.25 20

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We see the pattern that it is increasing with only a unit. The last given data is mid of the last two values that is 3 and 4.

So the next value would be the mid of the next last two values that is 2 and 3 and will be 2.5

Now it is moving in the reverse direction in the same pattern with a difference of a unit.

7 0

2 years ago

How would I do the steps to solve this?

allsm [11]

Answer:

The maximum revenue is 16000 dollars (at p = 40)

Step-by-step explanation:

One way to find the maximum value is derivatives. The first derivative is used to find where the slope of function will be zero.

Given function is:

$R(p) = -10p^2+800p$

Taking derivative wrt p

$\frac{d}{dp} (R(p) = \frac{d}{dp} (-10p^2+800p)\\R'(p) = -10 \frac{d}{dp} (p^2) +800 \ frac{d}{dp}(p)\\R'(p) = -10 (2p) +800(1)\\R'(p) = -20p+800\\$

Now putting R'(p) = 0

$-20p+800 = 0\\-20p = -800\\\frac{-20p}{-20} = \frac{-800}{-20}\\p = 40$

As p is is positive and the second derivative is -20, the function will have maximum value at p = 40

Putting p=40 in function

$R(40) = -10(40)^2 +800(40)\\= -10(1600) + 32000\\=-16000+32000\\=16000$

The maximum revenue is 16000 dollars (at p = 40)

3 0

2 years ago

Plz somebody help me <br>

Dennis_Churaev [7]

Answer:

Option 3

Step-by-step explanation:

It is the only one that increases by 8 just like the pattern

7 0

2 years ago

Read 2 more answers