<span>Highest point = 1406.25
Number of seconds = 9.375
We've been given the quadratic equation y = -16t^2 + 300t which describes a parabola. Since a parabola is a symmetric curve, the highest value will have a t value midway between its roots. So using the quadratic formula with A = -16, B = 300, C = 0. We get the roots of t = 0, and t = 18.75. The midpoint will be (0 + 18.75)/2 = 9.375
So let's calculate the height at t = 9.375.
y = -16t^2 + 300t
y = -16(9.375)^2 + 300(9.375)
y = -16(87.890625) + 300(9.375)
y = -1406.25 + 2812.5
y = 1406.25
So the highest point will be 1406.25 after 9.375 seconds.
Let's verify that. I'll use the value of (9.375 + e) for the time and substitute that into the height equation and see what I get.'
y = -16t^2 + 300t
y = -16(9.375 + e)^2 + 300(9.375 + e)
y = -16(87.890625 + 18.75e + e^2) + 300(9.375 + e)
y = -1406.25 - 300e - 16e^2 + 2812.5 + 300e
y = 1406.25 - 16e^2
Notice that the only term with e is -16e^2. Any non-zero value for e will cause that term to be negative and reduce the total value of the equation. Therefore any time value other than 9.375 will result in a lower height of the cannon ball. So 9.375 is the correct time and 1406.25 is the correct height.</span>
Answer: what is the value of x? The answer is 3.
Step-by-step explanation:
2x + 2 = y^3 where y is a positive integer. One possible answer for this is 3, because 2*3 + 2 is 8, that is 2^3, so 2 * 2 * 2 = 8. Also the second restrictions says that x consecutive numbers added and then divided by x will give an integer. So 2 + 3 + 4 = 9 and 9/3 = 3, that is an integer, and we have 3 consecutive numbers, therefore the answer is 3, as 3 is prime as well.
Answer:
(Don’t take my word because I don’t want you to get the question wrong) I would go with a or b in my opinion. But choose the one you think is right.
Step-by-step explanation:
Answer:
x = 5/2, -3
or
x = 2.5, -3
or
2 1/2, -3
Step-by-step explanation:
Brainliest Please!!
- Hermionia
Answer:
Step-by-step explanation:
4 - 2x - 8x > -6x - 16
4 - 10x > -6x - 16
4 - 4x > -16
-4x > -20
x < 5
