Answer:
a.) 1.38 seconds
b.) 17.59ft
Step-by-step explanation:
h(t) = -16t^2 + 22.08t + 6
if we were to graph this, the vertex of the function would be the point, which if we substituted into the function would give us the maximum height.
to find the vertex, since we are dealing with something called "quadratic form" ax^2+bx+c, we can use a formula to find the vertex
-b/2a
b=22.08
a=-16
-22.08/-16, we get 1.38 when the minuses cancel out. since our x is time, it will be 1.38 seconds
now since the vertex is 1.38, we can substitute 1.38 into the function to find the maximum height.
h(1.38)= -16(1.38)^2 + 22.08t + 6 -----> is maximum height.
approximately = 17.59ft -------> calculator used, and rounded to 2 significant figures.
for c the time can be equal to (69+sqrt(8511))/100, as the negative version would be incompatible since we are talking about time. or if you wanted a rounded decimal, approx 1.62 seconds.
Answer:
a) 179 people shopped at the grocery store or the drug store.
b) 21 people shopped at neither the grocery store nor the drug store
Step-by-step explanation:
I am going to treat these events as Venn sets.
I am going to say that:
Set A: Shopped at the grocery store
Set B: Shoped at the drug store.
121 shopped at the grocery store:
This means that 
91 shopped at the drug store:
This means that 
33 shopped at both businesses.
This means that 
a) How many people shopped at the grocery store or the drug store?
This is
With the values given in the exercise.
179 people shopped at the grocery store or the drug store.
b) How many people shopped at neither the grocery store nor the drug store?
179 of 200 shopped in at least one. So 200 - 179 = 21 shopped at neither.
21 people shopped at neither the grocery store nor the drug store
C. 3x + 7 because you can factor out the other 3.
a. 16+4x=4(4+X)
b. 25x+30y=5(5x+6y)
d. 40x-30y = 5(8x-6y)
hope this helps!
7 hours 00 minutes minus 46 minutes=6 hours 14 minutes or 7:00-00:46=6:14 am
