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Phantasy [73]
3 years ago
12

The function D(t) defines a traveler's distance from home, in miles, as a function of time, in hours. Which times and distances

are represented by the function? Select three options.
Mathematics
1 answer:
Zigmanuir [339]3 years ago
5 0

Answer:

Following are the responses to this question:

Step-by-step explanation:

This question required the choices, so the correct option can be described as following:

In option a: In 2 hours, the passenger is 725 miles away.

In option b: The length is stable at 3 hours, 880 miles.

In option c: The overall distance to home is 1,062.5 miles after 6 hours.

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Find a positive number for which the sum of it and its reciprocal is the smallest​ (least) possible. Let x be the number and let
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Answer:

S(x) = x + \frac{1}{x} --- Objective function

Interval = \{x:x=1\}

Step-by-step explanation:

Given

Represent the number with x

The required sum can be represented as:

x + \frac{1}{x}

Hence, the objective function is:

S(x) = x + \frac{1}{x}

To get the the interval, we start by differentiating w.r.t x

<em>Using first principle, this gives:</em>

S'(x) = 1 - \frac{1}{x^2}

Equate S'(x) to 0 in order to solve for x

0 = 1 - \frac{1}{x^2}

Subtract 1 from both sides

0 -1 = 1 -1 - \frac{1}{x^2}

-1 = - \frac{1}{x^2}

Multiply both sides by -1

1 = \frac{1}{x^2}

Cross Multiply

x^2 * 1 = 1

x^2  = 1

Take positive square root of both sides because x is positive

\sqrt{x^2} = \sqrt{1

x = 1

Representing x using interval notation, we have

Interval = \{x:x=1\}

To get the smallest sum, we substitute 1 for x in S(x) = x + \frac{1}{x}

S(1) = 1 + \frac{1}{1}

S(1) = 1 + 1

S(1) = 2

<em>Hence, the smallest sum is 2</em>

3 0
3 years ago
Find the values of x and y.<br><br><br><br> x= <br><br> y=
mezya [45]

Answer:

7x+90+20=180

7x+110=180

7x=180-110

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7x/7 = 70/7

X=10

Y=40

7 0
3 years ago
As one of her chores staci must vacuum 1/2 of the house if she already has vacuumed 1/3 of her share tonight what part of the ho
bonufazy [111]
Given that S<span>taci must vacuum 1/2 of the house.

If she already has vacuumed 1/3 of her share tonight the part of the house she has vacumed is given by

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Therefore, she has vacuumed 1/6 of the house.
</span>
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3 years ago
Students are selling candy bars to raise money for a class trip. The number of candy bars sold image, and the amount of money ra
storchak [24]

Answer:

B

Step-by-step explanation:

Because you divide b to e

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3 years ago
Can someone help I’ll give points
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