Answer:
see explanation
Step-by-step explanation:
A recursive formula allows us to calculate any term in the sequence from the previous term.
These are the terms of a geometric sequence with r being the common ratio between consecutive terms.
r = 4 ÷ - 2 = - 8 ÷ 4 = 16 ÷ - 8 = - 2
Multiplying a particular term by - 2 gives the next term in the sequence.
Hence recursive formula is
= - 2 
with a₁ = - 2
Answer:
D
Step-by-step explanation:
Try to follow the graph for the amount of time specified and see what speed it gets you.
Start by setting the function equal to 0 and then moving the -5.4 over to the other side of the equals sign.
. The first rule for completing the square is that the leading coefficient be a +1. Ours is a -.2. So we need to factor it out.
. Now we will take half the linear term, square it, and add it to both sides. Our linear term is 14. Half of 14 is 7, and 7 squared is 49. So we add 49 in to the left side just fine, but we cannot forget about that -.2 hanging around out front as a multiplier. What we have actually "added" in is -.2*49 which is -9.8. Now here's what we have after all that:
. In that process, we have created a perfect square binomial on the left. Along with expressing that binomial we will do the math on the right:
. Now we will move the -4.4 back over by addition, and it will then be apparent as to what our vertex is. The y coordinate of the vertex will give us the max height of the water.
. As you can see, our work matches choice C from above.
Y = x^2 - 64
x^2 - 64 = 0
x^2 = 64
x^2 = 8^2
x = 8 and x = -8
answer is B. x = 8 and x = -8
Begin by subtracting 1/8 from both sides to get
and get a common denominator of 8 on the right:
. Now simplify and cross-multiply: 39x = -16 andx = -16/39
