Answer:
30 = 2 x 3 x 5
Step-by-step explanation:
The secret number is the least whole number that has three different prime factors. Since, this is the least whole number it should have the 3 smallest prime numbers as its factors.
The 3 smallest prime numbers are: 2, 3 and 5
The number that will have 2, 3 and 5 as its only factors will be the least whole number with 3 different prime factors.
So, the secret number must be = 2 x 3 x 5 = 30
The ordered pair of the given equation will be ( 3, 6 ) and ( -3, 18).
<h3>What is a function?</h3>
A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
The given functions are:-
F(x) =x²-2x+3
F(x) = -2x + 12
When we plot the graph of the function we will see that the line -2x +12 cut the parabola at points ( -3, 18 ) and ( 3, 6 ) so these are the ordered pairs of the two functions. The graph of the functions is also attached with the answer.
To know more about function follow
brainly.com/question/25638609
#SPJ1
The first thing you have to do is know the equation. The equation is a(1+p)^t.
a= the amount of money p= the percent represented as a decimal and t=time ( the t is raised as an exponent)
so, in this case, it is represented as 200(1+0.05)^2\
200(1.05)^2
200(1.1025)
220.5 That is how much extra he would owe in interest fee's
Remember that the equation of a circle is:

Where (h, k) is the center and r is the radius.
We need to get the equation into that form, and find k.

Complete the square. We must do this for x² - 6x and y² - 10y separately.
x² - 6x
Divide -6 by 2 to get -3.
Square -3 to get 9. Add 9,
x² - 6x + 9
Because we've added 9 on one side of the equation, we have to remember to do the same on the other side.

Now factor x² - 6x + 9 to get (x - 3)² and do the same thing with y² - 10y.
y² - 10y
Divide -10 by 2 to get -5.
Square -5 to get 25.
Add 25 on both sides.

Factor y² - 10y + 25 to get (y - 5)²

Now our equation is in the correct form. We can easily see that h is 3 and k is 5. (not negative because the original equation has -h and -k so you must multiply -1 to it)
Since (h, k) represents the center, (3, 5) is the center and 5 is the y-coordinate of the center.
- ∆ABD is right angled hence area:-




There is only one option containing 6x^2 i.e Option D.
Hence without calculating further
Option D is correct