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:
What is 20 percent of 500.? = 100.
Step-by-step explanation:
Answer:
14 is A
15 is B
Step-by-step explanation:
14 . the answer is a because first off the slope is negative so we can immediately eliminate B and D second of all the slope is 1/2 so we can eliminate D and get that the answer has to be a
15. answer is B for this one because first of all the slope is negative so we can immediately eliminate A and c and second of all the y-intercept would be 120 because 90 is what x=1 so we would have to add 30 to get what y would equal when x=0 if that makes sense
Answer:
A
Step-by-step explanation:
Steps to take to determine the answer
- Because the length is in yards, it has to be converted to foot
- Find the area of the patio using the length and width measured in foot
- Determine the area of the square brick
- Multiply the cost of the brick by the area
1 yards = 3 foot
5 x 3 = 15 foot
Area of a rectangle = length x breadth
15 x 10 = 150 ft^2
Cost = 150 x 4 = $600
Answer: 42.39
Step-by-step explanation:
3.14×13.5
