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
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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:
First term a₁ = 3/2 and common ratio r = 2
Step-by-step explanation:
We need to find the first term and common ratio while we are given third term = 6 and seventh term = 96
Since common ratio is required so, the sequence is geometric sequence
The formula used is: 
We are given: third term = 6 i,e

Seventh term = 96

Dividing eq(2) and eq(3)

So, Common Ratio r = 2
Finding First term using eq(1)

So, First term a₁ = 3/2 and common ratio r = 2
Answer:
X=15
Step-by-step explanation:
Yes, you are right.
The given equation is
X+U=25
If U=10, then we substitute to obtain:
X+10=25
Subtract 10 from both sides to get:
X=25-10
Simplify to get:
X=15
The least number of possible bags of beads packed would be 2 because the greatest common factor is 2. To find how many of each bead is packed into each bag you would have to divide 14 and 2 which is 7, 16 and 2 which is 8, and 18 and 2 which is 9, so there will be 8 read beads, 9 orange beads, and 7 green beads.
Hope this helps!!!!
Find the area of one rectangle and then the other and add the two together.