The answer is the same as the question. 1.75
Answer:
The ball reached its maximum height of (
) in (
).
Step-by-step explanation:
This question is essentially asking one to find the vertex of the parabola formed by the given equation. One could plot the equation, but it would be far more efficient to complete the square. Completing the square of an equation is a process by which a person converts the equation of a parabola from standard form to vertex form.
The first step in completing the square is to group the quadratic and linear term:

Now factor out the coefficient of the quadratic term:

After doing so, add a constant such that the terms inside the parenthesis form a perfect square, don't forget to balance the equation by adding the inverse of the added constant term:

Now take the balancing term out of the parenthesis:

Simplify:

The x-coordinate of the vertex of the parabola is equal to the additive inverse of the numerical part of the quadratic term. The y-coordinate of the vertex is the constant term outside of the parenthesis. Thus, the vertex of the parabola is:

Hello!
10% off means there's a discount on the jacket, so we will be finding how much the discount is worth and then we'll subtract that from the original cost of the jacket.
Sales tax is basically additional money added to the cost of an item, so we will find what the sales tax is on this and then add that to the cost.
59.27 * 10% = 5.927
59.27 - 5.927 = 53.343
Now, find and add the sales tax.
53.343 * 7% = 3.73401
53.343 + 3.73401 = 57.07701
Round this to 57.1
The total cost of the jacket is $57.1.
5 and 3/4 hours past 11:32 is 5:17 AM.