Answer:
The rocket will take 9.25 seconds to return to ground
.
Solution:
Given:
Initial velocity = 148 ft per seconds
Height "h" after "t" seconds is given by equation:
To find:
Time taken by rocket to return to ground =?
Solution:
The time taken by rocket to return to ground can found by substituting h(t) = 0 in the given equation.
Taking t outside
t(-16t + 148) = 0
Zero product property. The zero product property states that if a⋅b = 0 then either a or b equal zero. This basic property helps us solve equations like (x+2)(x-5) = 0
So for above equation we get,
t =
t = 9.25
When t = 0 , the rocket would not left the ground. So ignore t = 0
So t = 9.25
A) (3, -5)
B) Reflection over x-axis and y-axis
C) (1, -1)
D) Translate 2 units left, 4 units up
You get the same answer to both which is 20
For quadratic
.. ax^2 +bx +c = 0
the discriminant is
.. d = b^2 -4ac
You have
.. a = 2
.. b = -5
.. c = 7
so the value of the discriminant for your equation is
.. (-5)^2 -4(2)(7)
.. = 25 -56
.. = -31
Because the discriminant is negative, the roots of the quadratic are complex.
Reasoning: this is the usual interpretation of the sign of the discriminant. It derives from the fact that the square root of the discriminant is part of the roots of the quadratic. That part will be imaginary when the discriminant is negative.
_____
The graph shows there are no real roots.
The measure that would be appropriate to find the length of a book would be inches. Hope this helps!