Answer:
120
Step-by-step explanation:
Using factorial, we can calculate the total possible number of combinations to line up.
5! = 120.
5! is another way of saying 5 × 4 × 3 × 2 × 1
Answer:
<em>The zero of the line is (2,0)</em>
Step-by-step explanation:
The equation of a line passing through points (x1,y1) and (x2,y2) can be found as:

We are given the points (1,-3) and (4,6). Substituting:

Operating:


The zero of this line can be found by making y=0 and solving for x:
0+3=3(x-1)
3=3x-3
Adding 3:
6=3x
Solving:
x = 2
The zero of the line is (2,0)
Answer:
True
Step-by-step explanation:

A common denominatortor 9 and 12 is 3 and 6
The correct answer is y= 0.513(1.833)^x
Explain
We will use the equation on this form
Y=ab^x
Let’s us plug in the coordinates of first point
(X, y) , ( 9, 120)
We will have
Y=ab^x
120= ab^9
Our equation for a will be
Ab^9 = 120
ab ^9 / b^9 = 120/ b^9
a = 120/ b^9
So will have
Y= 120/ b^9 • b^x
Then we will plug in coordinates for the second point
( x,y) = ( 10, 220)
We will have
Y= 120/b^9 • b^x
220 = 120/b^9 • b^10-9
220= 120b
Divide both side by 120
B= 11/6
B= 1.833333 = 1.833
Let’s plug in the value b=11/6 to our equation for a
A= 120/b^9
A= 120/ 11/6^9
A= 120/11^9/6^9
A=120 • 6^9 / 11^9
= 0.51285 which equal to 0.513
So therefore the answer is
Y= 0.513(1.833)^x
I hope this help you
:D