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3 years ago

Identify the identity function: f(x) = 5 and f(x) = x

Mathematics

1 answer:

pantera1 [17]3 years ago

8 0

Answer:

what is Hindu Arabic number xxv

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For which inequality is x = 5 a solution? A x<2 B. x>9 C x<18 D. x> 42

marishachu [46]

Answer:

Step-by-step explanation:

because 5 is smaller then 18

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3 years ago

What is the missing constant term in the perfect square that starts with x2+18xx^2+18xx2+18xx, squared, plus, 18, x ?

katrin2010 [14]

Answer:

Step-by-step explanation:

Given the expression: $x^2+18x$

To make it a perfect square, we follow the following steps.

Divide the coefficient of x by 2

Coefficient of x=18, 18/2=9

Square It

9 X 9=81

Add it to the expression

$x^2+18x+81$

This is written as a perfect square as: $(x+9)^2$

The constant term required therefore is 81.

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3 years ago

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What is the measure for the following ∠? m∠BOA 20 40 60

kaheart [24]

Hello!

First, find angle BOA on the protractor. To do this, look for point B, point O, and point A.

Now, we see some markings that mark what degree point B and point A are at. Point B is marked at 60 degrees, and Point A 40 degrees.

Now, all that's left to do, is subtract the two measurements.

60 degrees - 40 degrees = 20 degrees

Therefore, your answer is 20.

Hope this helps!

8 0

3 years ago

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

What is the volume of this container 1ft 1ft 2ft

Mekhanik [1.2K]

Answer:

Remember length times width times height when finding volume.

In non-terms of pi, the answer would be $2$ $ft^2$

8 0

2 years ago

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Identify the identity function: f(x) = 5 and f(x) = x​

Identify the identity function: f(x) = 5 and f(x) = x