We are given the two functions:
H(t) = −16 t^2 + 64 t + 12
g(t) = 10 + 10.4 t
Now let us calculate for values of H(t) and g(t) by
plugging in the values of t = 1 to 4 in each function as shown in the table
below:
t H(t) g(t)
1 60 20.4
2 76 30.8
3 60 41.2
4 12 51.6
Looking at the table, we can say that the time when H(t)=g(t)
must be between t=3 and t= 4 seconds.
At t=3 seconds H(t) is above g(t), and at t = 4 seconds H(t)
is below g(t). Therefore the two functions must be at the same height in
between.
Part B. The solution in Part A gives us the exact time
where the two objects have the same height. Further, we can see from the table
that H(t) is decreasing meaning the projectile is going down while g(t) is
increasing so the other projectile is going up.
Answer:
96°
Step-by-step explanation:
ΔKLM is isosceles, so base angle KML will be half the supplement of ∠MLK, or ...
.... ∠KML = (180° -48°)/2 = 66°
ΔKJM is also isosceles, so base angle JMK will be the same measure as ∠JKM, 30°.
∠JML = ∠JMK + ∠KML = 30° +66°
∠JML = 96°
Answer:
It would be between -3 and 2
Step-by-step explanation:
cause -2.5 is greater than -3 and its less than 2
9514 1404 393
Answer:
EAGI
Step-by-step explanation:
Your choices are correct except for "B". Graph 3 has a dashed line, so the inequality symbol is <, not ≤.
Answer:
Given 40 years of time to plan in advance for retirement, Lynn would only need to save $25000 per year to end up with $1 million, which is attainable.
Step-by-step explanation:
Lets say that she starts planning for retire with 40 years in advance instead of just 15, if that is the case, then she would need to save $1.000.000/40 = $25.000 per year, which is a pretty big ammount but it is much more attainable than $67000, since it is only a third of her annual income.