It's not 3 so what's the volume?
2 answers:
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Answer:
a) about 0.7 seconds to 5.1 seconds.
b) Listed below.
Step-by-step explanation:
h - 1 = -5x^2 + 29x
h = -5x^2 + 29x + 1
a) We will find the amount of time it takes to get to 18 meters.
18 = -5x^2 + 29x + 1
-5x^2 + 29x + 1 = 18
-5x^2 + 29x - 17 = 0
We will then use the quadratic formula to find the answer.
[please ignore the A-hat; that is a bug]
=
=
=
= and
= 0.6616970714 and 5.138302929
So, the time period for which the baseball is higher than 18 metres ranges from about 0.7 seconds to 5.1 seconds.
b) Restrictions on the domain and range of the function are that the domain and range can never be negative, since time cannot be negative, and height cannot be negative. The height cannot exceed the vertex of the parabola, since that is the highest the ball will ever go. It cannot exceed that height since gravity will cause the ball to fall down.
Hope this helps!
Here is your function:
You're looking for f(-1). To get your answer, you have to replace all the x's with -1.
Here is your new equation:
Multiply 2 by -1
<em>Remember:</em>
MULTIPLYING
- Positive(+) times negative(-) is equal to negative
- Positive(+) times positive(+) is equal to positive
- Negative(-) times negative(-) is equal to positive
- Negative(-) times positive(+) is equal to negative
DIVIDING
- Positive(+) divided by positive(+) is equal to positive
- Positive(+) divided by negative(-) is equal to negative
- Negative(-) divided by positive(+) is equal to negative
- Negative(-) divided by negative(-0 is equal to positive
Since you're multiplying a negative number by a positive number, the answer will be negative.
Here is your new equation:
Add -2 and 2:
That means your answer is 0
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<em>If you have any questions, feel free to ask in the comments! :)</em>