Answer:
x = 1.5
, y = 3 + 2at.
Step-by-step explanation:
For the parabola
= 4aX ,
General form will be
(X = a
, Y = 2at) ,
Thus , for the parabola
= 6(x +8)
Here , a = 1.5 and Y from the above equation should be substituted by y - 3 and X must be substituted by x + 8. After substitution of the same we can use the general equation formula for this parabola also.
Thus , general equation comes out to be :-
x + 8 = 1.5
, y - 3 = 2at
x = 1.5
, y = 3 + 2at.
Answer:
th part of the field is covered in the second sprint.
Step-by-step explanation:
A football player is running the length of a 100 yard long football field.
Let player sprints x yards with the speed = 2 yards per second.
So time taken to cover x yards player will take time =
seconds
Now rest distance (100 - x) yards when covered with the speed of 4 yards per second, so time taken to cover this distance = 
=
seconds
Now total time taken by the player can be represented by the equation

Now we can solve this equation for the value of x.

x + 100 = 40×4
x + 100 = 160
x = 160 - 100 = 60 yards
And length of the second part will be = 100 - 60 = 40 yards
Now the fraction of the field covered by the player in second sprint will be
= 
=
or 40%
Therefore,
th part of the field was covered in second sprint.
The vertex is (-1,1)
Explanation
The vertex formula to find the x coordinate of the formula is -b/2a
So we plug in the values into the formula which is
-4/2(2)
Simplify it
-4/4
=-1
-1 is now the x cord of the vertex.
So now we will plug in the x into the quadratic equation which is 2x^2+4x+3
2(-1)^2 + 4(-1) + 3 = 2 -4 +3
Simplify it
5 - 4= 1
Y=1
So the Coordinates of the vertex is (-1,1)