(ALGEBRA 1)
Answer:
43.06 ft
3.20 seconds
Step-by-step explanation:
h = -16t^2 +50t +4
The maximum is at the vertex
The x coordinate for the vertex is a the axis of symmetry
The axis of symmetry is
h=-b/2a when the equation is at^2 +bt+c
h = -50/2(-16)
=-50/-32
= 1.5625
The maximum is when x is at 1.5625
to find y we put this into the equation
h = -16(1.5623)^2 + 50(1.5625) +4
= -16(2.44140625) + 78.125+4
= -39.0625+78.125+4
=43.0625
To the nearest hundredth
43.06 ft
The second part is to find when it hits the ground, or when h=0
0 = -16t^2 +50t +4
Using the quadratic formula
-b±sqrt(b^2 -4ac)
------------------------
2a
-50±sqrt(50^2 -4*-16*4)
------------------------
2*-16
-50±sqrt(2500 +256)
------------------------
-32
-50±sqrt(2756)
------------------------
-32
-50 + sqrt(2756) or -50 + sqrt(2756)
----------------------- -----------------------
-32 -32
-.078 3.20
Since time cannot be negative
3.20 seconds
=
7:02
True or false
Answer:
Step-by-step explanation:
In order to answer this question first we have to convert g(x) into vertex form.
Now from this form we can visualize the transformations made to f(x) to get the graph of g(x).
Addition of 2 in x means that graph of f(x) = x2 is shifted 1 unit to left to get (x + 1)² .
Addition of 5 in the function value indicates that the graph is shifted 5 units up.
So the changes which have been made to f(x) in order to get g(x) are:
1 out of 4 all three times because there are only 4 chips in the bag. out of the 4 she will get 1 every time. so it is going to be 1 out of every 4 times