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3 years ago

Evaluate: x(y – z) for x = 3, y = 9, and z = 2 O 33 O 45 O-21 O 21

Mathematics

1 answer:

ad-work [718]3 years ago

3 0

Answer:

Step-by-step explanation:

Hi there!

We are given the expression x(y-z), and we want to evaluate it if x=3, y=9, and z=2

As we're given the values of the variables, we can substitute those values into the expression to find out what the value of the expression is.

So substitute 3 as x, 9 as y, and 2 as z in the expression above

x(y-z)

3(9-2)

Now we must follow the order of operations; start by subtracting 2 from 9 (do the stuff inside the parentheses first)

3(7)

Now multiply 3 and 7 together

Hope this helps!

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If it moved downward 15 meters for every 5 seconds and to find the change in the elevation each second then divide the meters by 5.

15/5 = 3

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3 years ago

Is x-10 accurate for an expression

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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

<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

Need help idk how to slove this

Gemiola [76]

Hi!

I'm not sure how to slove this, but I do know how to solve it ;D

<h3>We can't know the exact value of y, but we can isolate y on one side. First, multiply by z on both sides. </h3>

$\frac{x+y}{z*z}=3*z$

x + y = 3 * z

<h3>Now subtract x from both sides.</h3>

x - x + y = 3 * z - x

<h2>The answer is y = 3 * z - x</h2>

Hope this helps! :)

-Peredhel

8 0

3 years ago

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