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3 years ago

Can any one help me with this one

Mathematics

2 answers:

Svetlanka [38]3 years ago

7 0

Answer:

5x+10=10+11+121

5x+10=142

5x=132

x=26.4

Step-by-step explanation:

1. Set the problem out like shown above.

2. Add the numbers EXCEPT the variable

3. Subtract so that the variable can be by itself then divide

4. X is whatever answer you get

Hope this helped ya!

VMariaS [17]3 years ago

3 0

Use Thales' theorem..

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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

<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>

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3 years ago

Select a composite number to break into factors. Continue factoring until all factors are prime

Sladkaya [172]

Answer:

2*2 * 2*2 * 2*3

Step-by-step explanation:

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Break these down, since neither 16 nor 6 are prime

= 4*4 * 2*3

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3 years ago

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Answer:

Using the point (-2,-4) it would be:

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Using the point (4,-2) it would be:

y + 2 = 1/2 (x - 4)

Step-by-step explanation:

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3 years ago

What is equivalent to 9

frosja888 [35]

What is equivalent to 9?

9/1 = 9

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3 years ago

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3. A wall is 12 feet high. If its area is 132 sq ft, what is its

dalvyx [7]

B. 46 feet because 132/12=11 and 12+12+11+11=46

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