Answer:
C = n + 2
Step-by-step explanation:
Well looking at the line on the graph we can see that the y intercept is 2 because the y intercept is the point in the line that touches the y axis.
And the slope is how fat away each points are from each other on a line so we can find the slope by using two points on the line, we can use (1,3) and (2,4).
So we set up the formula like this 
.
And now we gotta plug in the numbers and solve so the answer is 4-3 = 1 and 2-1 = 1 so the slope is 1.
And we can’t write that as just n.
So the answer is C = n + 2.
For proof look at the image below.
Answer:
The number is 92
Step-by-step explanation:
Let x equal the number
It is tripled
3x
Then it is tripled again
3(3x)
That equals 828
3(3x) = 828
9x =828
Divide each side by 9
9x/9 =828/9
x =92
Answer:
Step-by-step explanation:
We expect the equation for y to be quadratic. Since the table is obviously symmetrical about x=3, we can start with the vertex form ...
y = a(x -3)² +b
Filling in the values from the first two table points, we get
For (x, y) = (0, 6):
6 = a(0 -3)² + b ⇒ 9a +b = 6
For (x, y) = (2, 22):
22 = a(2-3)² +b ⇒ a +b = 22
Subtracting the second equation from the first gives ...
(9a +b) -(a +b) = (6) -(22)
8a = -16 . . . . . . collect terms
a = -2 . . . . . . . . divide by 8
The second equation above tells us ...
b = 22 -a = 22 -(-2) = 24
So, our equation for y is ...
y = -2(x -3)² +24
__
The value of y for x=5 is ...
y = -2(5 -3)² +24 = 16
The height of the ball after 5 seconds is 16 feet.
Answer:
Step-by-step explanation:
Answer:
r = 8
Step-by-step explanation:
The common ratio r of a geometric sequence is
r = 
= 
= ..... = 
Then
r = 
= 
= 8
