Answer:
see attached
Step-by-step explanation:
The x-coordinate of the vertex is given by ...
x = -b/(2a)
for f(x) = ax^2 +bx +c.
We see that the vertex is at x = 1, and we are given a = -16. Then we can find "b" from ...
1 = -b/(2(-16))
32 = b
We know the y-intercept of the equation is 5 (the starting height), so the equation must be ...
h(t) = -16t^2 +32t +5 . . . . . matches the last choice
Answer:
The answer is 8/5 or 8 out of 5.
Step-by-step explanation:
In order to solve this you need to first add the number of envelopes together to get the sum of how many envelopes there are, 1 + 3 + 2 + 2 = 8. Next you add the amount of blue and green envelopes together 3 + 2 = 5. The total number of envelopes is 8, and 5 out of the 8 are green or blue, therefore you will have a 8 out of 5 chance of picking one of those colors.
Answer:
x=12
Step-by-step explanation:
First you make sure x is on both sides of the equation. So you do 0.7x-5-0.2x=0.2x+1-0.2x. Which just simplifies to 0.5x-5=1. You make sure x is the only thing on that side of the equation so you do 0.5x-5+5=1+5 which simplifies to 0.5x=6. Multiply the equation times 2 to just have x. x=12. The value that makes true of x is 12.
Answer:
Option three
Step-by-step explanation:
Answer: x=2/3
Step-by-step explanation:
