What is 0.37 x 0.42 equal to

Galina-37 [17]

$\bf \textit{difference of squares}
\\ \quad \\
(a-b)(a+b) = a^2-b^2\qquad \qquad 
a^2-b^2 = (a-b)(a+b)\\\\
-----------------------------\\\\
\cfrac{x+3}{x^2-2x}\cdot \cfrac{(x-2)^2}{x^2-9}\implies \cfrac{x+3}{x^2-2x}\cdot \cfrac{(x-2)(x-2)}{x^2-3^2}
\\\\\\
\cfrac{x+3}{x(x-2)}\cdot \cfrac{(x-2)(x-2)}{x^2-3^2}\implies \cfrac{\underline{x+3}}{x\underline{(x-2)}}\cdot \cfrac{\underline{(x-2)}(x-2)}{(x-3)\underline{(x+3)}}
\\\\\\
\cfrac{x-2}{x(x-3)}\iff\cfrac{x-2}{x^2-3x}$

5 0

3 years ago

Use calculus to find the largest possible area for a rectangular field that can be enclosed with a fence that is 500 meters long

rewona [7]

Let $x$ and $y$ be the sides of the rectangle. The perimeter is given to be 500m, so we are maximizing the area function $A(x,y)=xy$ subject to the constraint $2x+2y=500$ .

From the constraint, we find

$2x+2y=500\implies x+y=250\implies y=250-x$

so we can write the area function independently of $y$ :

$A(x,y)=\hat A(x)=x(250-x)=250x-x^2$

Differentiating and setting equal to zero, we find one critical point:

$\dfrac{\mathrm d\hat A(x)}{\mathrm dx}=250-2x=0\implies x=125$

which means $y=250-125=125$ , so in fact the largest area is achieved with a square fence that surrounds an area of $A(125,125)=125^2=15625\text{ m}^2$ .

7 0

3 years ago

Question 1 of 10<br> Which describes the graph of y= -(x - 3)² + 2?

vfiekz [6]

which means the graph is on quadrate 2 or 3.

Straight Line :

A straight line is an infinite-length line that does not have any curves on it. A straight line can be formed between two points also but both ends extend to infinity. A straight line is a figure formed when two points A (x1, y1) and B (x2, y2) are connected with the shortest distance between them, and the line ends are extended to infinity.

In the image shown below, a straight line between two points A and B is shown. A straight line AB is represented by: Vector AB

The lines are drawn in a slanting position or form some angle other than 0o, 90o, 180o, 270o, 360o with horizontal or vertical lines are called oblique or slanting lines.

y= -(x - 3)² + 2.

y= - (x2+9-6x)+2

y= -x2-9+6x+2

y= -x2-7+6x

y= -x2+6x-7

-y = x2+7x-x-7

-y= x(x+7)-1(x+7)

-y= (x+7)(x-1)

which means the graph is on quadrate 2 or 3.

straight line graph of y = -(x - 3)² + 2.4

More details : brainly.com/question/20492082

#SPJ9

6 0

2 years ago

Which scenario is best represented by a linear function?

nadezda [96]

Answer:

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>

linear function

<h3>tips and formulas:</h3>

a linear function is function with two variables one dependent another one is independent

<h3>let's solve:</h3>

since we can see what linear function is

the second condition is the best fit

<h3>The perimeter of a square, P, where the length of each side of the square is B represented by s</h3><h3>(P = 4s)</h3>

therefore

our answer is b

5 0

3 years ago

A company sells bikes that are light and fast. The revenue earned over a period of x years can be represented by the function, S

AnnyKZ [126]

Answer:

The first choice

Step-by-step explanation:

The selling Price is S(x) = 100x^3 + 6x^2 + 97x + 215

The Profit = S(x) - C(x) = 100x^3 + 6x^2 + 9x

The answer is The First Choice

5 0

3 years ago