You and a friend tutor for a total of 12 hours. Use the tape diagram to find how many hours you tutor.
1 answer:
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Answer:
1125 m
Step-by-step explanation:
Given equation:
where:
- h = height (in metres)
- t = time (in seconds)
<u>Method 1</u>
Rewrite the equation in vertex form by completing the square:
The vertex (15, 1125) is the turning point of the parabola (minimum or maximum point). As the leading coefficient of the given equation is negative, the parabola opens downward, and so vertex is the maximum point. Therefore, the maximum height is the y-value of the vertex: 1125 metres.
<u>Method 2</u>
Differentiate the function:
Set it to zero and solve for t:
Input found value of t into the original function and solve for h:
Therefore, the maximum height is 1125 metres.
Option B: 1088 is the next term in the geometric sequence.
Explanation:
The sequence is
We need to determine the next term.
To determine the next term, let us find the common ratio between the terms.
Thus, the common ratio is
And the given sequence is a geometric sequence.
To determine the next term in a geometric sequence, we always multiply the common ratio to the current term.
Hence, the current term is 272 and the common ratio is 4.
Next term = Current term × Common ratio
Thus, the next term of the geometric sequence is 1088
Therefore, Option B is the correct answer.