Answer:
6.5 seconds
Step-by-step explanation:
Keep in mind that when 
, this is the same height for both when the model rocket takes off and lands, so when the rocket lands, time is positive. Thus:
So, the amount of seconds that the model rocket stayed above the ground since it left the platform is 6.5 seconds
Answer:
observational study
Step-by-step explanation:
This situation calls for an observational study. Unfortunately, cardiovascular health is difficult to measure unless one defines some "health scale" so that health could be roughly quantitized.
(f o g)(-3) = (f(g(-3))
Because g is on the inside, we carry out g first.
g(x) = x^2 - 3
Substitute -3 in for x.
g(-3) = (-3)^2 - 3 = 9 - 3 = 6
g(-3) = 6
Next, carry out f on the result of g(-3)
f(6) = 2(6) - 1
= 12 - 1
= 11
So the answer is 11.
Answer:
5. x = -1
6. x = 2
Step-by-step explanation:
5. AB = 5
BC = 2x + 6
AC = x + 10
AB + BC = AC (segment addition postulate)
5 + 2x + 6 = x + 10 (substitution)
Collect like terms
5 + 6 + 2x = x + 10
11 + 2x = x + 10
2x - x = - 11 + 10
x = -1
6. AB = 9x + 7
BC = -3x + 20
AC = 39
AB + BC = AC (segment addition postulate)
(9x + 7) + (-3x + 20) = 39 (substitution)
Solve for x
9x + 7 - 3x + 20 = 39
Collect like terms
9x - 3x + 7 + 20 = 39
6x + 27 = 39
Subtract 27 from both sides
6x + 27 - 27 = 39 - 27
6x = 12
Divided both sides by 6
6x/6 = 12/6
x = 2
