Answer:
- t = 1.5; it takes 1.5 seconds to reach the maximum height and 3 seconds to fall back to the ground.
Explanation:
<u>1) Explanation of the model:</u>
- Given: h(t) = -16t² + 48t
- This is a quadratic function, so the height is modeled by a patabola.
- This means that it has a vertex which is the minimum or maximu, height. Since the coefficient of the leading (quadratic) term is negative, the parabola opens downward and the vertex is the maximum height of the soccer ball.
<u>2) Axis of symmetry:</u>
- The axis of symmetry of a parabola is the vertical line that passes through the vertex.
- In the general form of the parabola, ax² + bx + c, the axis of symmetry is given by x = -b/(2a)
- In our model a = - 16, and b = 48, so you get: t = - ( 48) / ( 2 × (-16) ) = 1.5
<u>Conclusion</u>: since t = 1.5 is the axys of symmetry, it means that at t = 1.5 the ball reachs its maximum height and that it will take the same additional time to fall back to the ground, whic is a tolal of 1. 5 s + 1.5 s = 3.0 s.
Answer: t = 1.5; it takes 1.5 seconds to reach the maximum height and 3 seconds to fall back to the ground.
Answer:
<em><u>5/18</u></em>
Step-by-step explanation
when you divide 5/6 by 3 you multiply 5/6 by 1/3 and you get 5/18!
I hope this helps!
(X1=1, y1=7) and (x2= -4, y2 =-8)
Slope = ( y2-y1)/(x2-x1)= (-8-7)/(-4-1)= -15/-5=3
Slope is 3
Step-by-step explanation:
To find an equation of a line in point slope form when given the slope and a point we use the formula
where
m is the slope
( x1 , y1) is the point
From the question the point is (-3, -1) and slope 2
The equation is
<h2>
</h2>
Hope this helps you
Answer: Each bottle contains 500 milliliters of iced tea
Step-by-step explanation:
Hi, to answer this question we have to divide the total liters of iced tea (6) by the number of bottles (6).
Mathematically speaking
6 /12 = 0.5 liters
So, each bottle contains 0.5 liters of iced tea.
Since 1 liter = 1000 milliliters, weave to multiply the result by 1000 to convert to milliliters.
0.5 liters x 1000 milliliters = 500mililiters
Each bottle contains 500 milliliters of iced tea
