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3 years ago

Help pleaseeeeeeeee?!?!

Mathematics

2 answers:

nalin [4]3 years ago

5 0

Strong, they are all close together and close to the line.

Over [174]3 years ago

5 0

Answer:It looks like it would be strong Step-by-step explanation: They are close together.

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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

Allisa [31]

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

Using first principle, this gives:

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

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

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

$S(1) = 1 + 1$

$S(1) = 2$

Hence, the smallest sum is 2

3 0

3 years ago

Are these triangles SSS congruent??

Nadya [2.5K]

Answer:

Step-by-step explanation:

the sides do not have the same measurments which is required of the SSS postulate

7 0

3 years ago

Jane babysits for $8 per hour. She earned $240 last week. This equation represents the number of hours, h, Jane babysat last wee

Tatiana [17]

Answer:

30 Hours

Step-by-step explanation:

8h=240

240÷8=30

8 0

4 years ago

Steve works as a football referee for 10 hours a week, and as a bus driver for 30 hours per week.if both jobs pay $21 per hour,h

arsen [322]

Answer:

$840

Step-by-step explanation:

First, add 30 to 10.

Then, multiply your answer (40) by 21.

Finally, you get your final answer of $840.

6 0

3 years ago

Tell whether the given value is a solution of the inequality

topjm [15]

Answer:

the given value is a solution of the inequality

Step-by-step explanation:

12 + m ≥ -4 if m = -3

12 + (-3) ≥ -4

9 ≥ -4

9 is greater than or equal to -4

5 0

2 years ago