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What happens to the value of the expression <img src="https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7Bx%7D%20%2B5" id="TexFormula1" tit

Paraphin [41]

Answer:

A) increases

Step-by-step explanation:

5/x + 5

suppose x = 5; then 5/5 + 5 = 1 + 5 = 6

x = 2; then 5/2 + 5 = 2.5 + 5 = 7.5

x = 1 ;then 5/1 + 5 = 5 + 5 = 10

So when x value decreases from a large positive number to a small positive number, 5/x + 5 increases

3 0

2 years ago

A rectangular plot of farmland will be bounded on one side by a river and on the other three sides by a single-strand electric f

likoan [24]

Step-by-step explanation:

Let x be the length and y be the width of the rectangular plot.

The plot is bounded on one side by a river and on the other three sides by a single-strand electric fence. It means,

x+2y = 1500

x = 1500 - 2y ....(1)

We know that the area of a rectangular plot is given by :

A = xy ....(2)

Put the value of x from equation (1) in (2)

$A=(1500-2y)y\\\\A=1500y-2y^2$ .....(3)

For largest area, differentiate above area equation wrt y.

$\dfrac{dA}{dy}=\dfrac{d}{dy}(1500y-2y^2)\\\\=1500-4y\\\\\text{Put}\ \dfrac{dA}{dy}=0\\\\1500-4y=0\\\\y=\dfrac{1500}{4}\\\\=375$

Put the value of y in equation (1).

x = 1500-2(375)

= 750 m

Put the value of y in equation (3).

$A =1500(375)-2(375)^2\\A=281250\ m^2$

Hence, the largest area is 281250 m² and its dimensions are 750 m and 375 m.

3 0

3 years ago

What is X in negative 4X +26 equals -2

jeyben [28]

Answer:

x = 7

Step-by-step explanation:

I hope this helps.

5 0

3 years ago

When we’re writing, we can use a thesaurus to find a different word with the same meaning to present an idea. How can we find di

Pavlova-9 [17]

Answer:

Math has the particularity that it is a logical construction.

This means that we can start with an expression X (where X is an equation, not a variable)

Now we can apply a lot of "math" to this equation in such a way that we can rewrite it, but the actual "meaning" of the equation will not change.

An example of this is factoring.

For example, we can write a quadratic equation as:

a*x^2 + b*x + c.

And we also can write this as:

n*(x - k)*(x - j)

where k and j are the solutions of the equation:

a*x^2 + b*x + c = 0.

What is the advantage of writing the equation in each form?

Well, both expressions actually represent the same thing, but the explicit information in each expression is different, so depending on what we want to do, we will choose one option or the other.

And we have lot's of different ways to express something, where we can find some ones really complex and useful, like the series of Taylor, where we can write a function as a summation of infinite terms.

8 0

2 years ago

Determine the value of x for which rls if<br> .<br> m2i = 80 - X; and<br> mz2 = 90 - 2x<br> .

Slav-nsk [51]

Answer:

x = 10

Step-by-step explanation:

For the lines to be parallel, the two angles must have the same measure:

80 - x = 90 - 2x

x = 10 . . . . . . . . . add 2x-80

The value of x must be 10 to make the lines parallel.

6 0

3 years ago