Answer:
For t=3 sec the velocity change from positive to negative
Step-by-step explanation:
we have
This is the equation of a vertical parabola open downward (the leading coefficient is negative)
where
s(t) is the distance in feet
t is the time in seconds
We know that
To find out when the velocity change from positive to negative, we need to determine the turning point of the quadratic equation
The turning point of the quadratic equation is the vertex
so
Convert the quadratic equation into vertex form
Factor -16
Complete the square
Rewrite as perfect squares
The vertex is the point (3,244)
therefore
For t=3 sec the velocity change from positive to negative
40 - 3k + 10k = -10 - 8k - 10
40 + 7k = -10 - 8k - 10
40 + 7k = -8k - 20
40 + 7k - 40 = -8k - 20 - 40
7k = -8k - 60
7k + 8k = -8k - 60 + 8k
15k = -60
15k/15 = -60/15
k = -4
O=2a+2,
o/2-a/2=4 this is your system of equations,
It you wish to solve for apples, then simply substitute o from the first equation into the second equation...
(2a+2)/2-a/2=4 multiply both sides of the equation by 2
2a+2-a=8 combine like terms on the left side
a+2=8 subtract 2 from both sides
a=6
So Javier has 6 apples in the basket.
Answer:
The State Department has four main foreign policy goals: Protect the United States and Americans; Advance democracy, human rights, and other global interests; Promote international understanding of American values and policies
Step-by-step explanation:
