What division problem gets you the answer of PI?

Number which is not a composite number is given by the equation A = 2

What are Factors of a Number?

Numbers that divide an original number evenly or precisely are known as its factors. A factor is a whole number that can divide a larger number in two equal parts. A factor is a number that divides another number, leaving no remainder

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the set of number be in set C = { 2 , 9 , 15 , 21 }

And , composite number is a positive integer that can be formed by multiplying two smaller positive integers

So , the factors of 9 = 1 , 3 , 9

The factors of 15 = 1 , 3 , 5 , 15

The factors of 21 = 1 , 3 , 7 , 21

And , the factors of 2 are 1 and the number 2 itself

Therefore , the value of A = 2

Hence , the number 2 is a composite number

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Answer:

see the explanation

The graph in the attached figure

Step-by-step explanation:

we have

Function f(x)

----> equation A

This is a vertical parabola open upward (because the leading coefficient is positive)

The vertex is a minimum

The vertex is the point (0,-3)

The y-intercept is the point (0,-3) [value of y when the value of x is equal to zero]

The x-intercepts are the points

and  

Function g(x)

----> equation B

This is a vertical parabola open upward (because the leading coefficient is positive)

The vertex is a minimum

The vertex is the point (0,3)

The y-intercept is the point (0,3) [value of y when the value of x is equal to zero]

The function don't have x-intercepts (the roots are complex numbers)

We can say that the function g(x)  is the translation of the function f(x) 6 units up

using a graphing tool

The graph in the attached figure

The graphs of these quadratic functions are similar in shape, with the main differences being vertical shifts and y-intercepts. The graph of g(x)=5x^2 +3 is obtained by shifting the graph of f(x)=5x^2 −3 upward by 6 units.

The graphs of the quadratic functions f(x)=5x^2 −3 and g(x)=5x^2 +3

Both functions are quadratic, which means they have a graph in the shape of a parabola. The coefficient of the x^2  term in both functions is 5, indicating that the parabolas open upwards.

Now, let's analyze the differences:

Vertical Shift:

For f(x)=5x^2 −3, there is a vertical shift downward by 3 units due to the constant term -3.

For g(x)=5x^2 +3, there is a vertical shift upward by 3 units due to the constant term +3.

Y-Intercept:

The y-intercept of f(x) occurs when x=0, and f(0)=−3, so the y-intercept is (0, -3).

The y-intercept of g(x) occurs when x=0, and g(0)=3, so the y-intercept is (0, 3).

Overall Shape:

Both graphs have the same overall shape since the coefficient of the

x^2  term is the same in both functions.

Symmetry:

The parabolas are symmetric with respect to the y-axis, as changing

x to −x in the quadratic term does not affect the overall value of the function.

O : P => 2 : 5

(a)    1 liter of pop to serve 7 people

=>           5 units = 1

               1 unit = 1 / 5

Orange juice => 2 units

Hence, Orange juice needed is 2 * 1 / 5 = 0.4 liters

(b)    If 1 liter of pop is needed to serve 7 people, then we will need (1 / 7) * 15 for 15 people

i.e. 2.14 liters

As the ratio of O : P = 2 : 5,

               5 units = 2.14

               1 units = 2.14 / 5

For Orange juice, we will need 2 * 2.14 / 5 = 0.856 liters for 15 people