As a 7 1/4 inch candle burns down, its height we decreases three-quarter inch inch each hour. How many hours does it take for th
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Answer:
Rui will reach his lowest altitude after diving for 10 seconds
Step-by-step explanation:
In the quadratic equation y = ax² + bx + c, the coordinates of the lowest or the highest point is (h, k), where
- h =
and k = y at x = h
In the given question
∵ d(x) = x² - 10 x
∵ d represents his altitude in meters after x seconds
→ Compare it with the form above to find a and b
∴ a = and b = -10
∵ h =
→ Substitute the values of a and b in the rule to find h
∴ h = = 10
∴ h = 10
∵ h is the x-coordinate of the lowest point
∴ The time of the lowest altitude is 10 seconds
∴ Rui will reach his lowest altitude after diving for 10 seconds
The number of cows is given by
So, after years, the number of cows will be
We want this number to be twice as much as the original:
First of all, we can cancel 14 from both sides:
Finally, on the right hand side, we can use the exponent rule
to get
To solve this equation, we must impose that the two exponents are the same:
And clearly this is true if and only if . So, it will take 5 years for the cow heard to double in number.
You can do the exact same steps to find the doubling time for the sheeps.
For this case we have that by definition, the standard way to write the equation of a line, is given by:
Where a, b and c are integers.
Given
We can write it in the standard way:
and by the previous definition, the numbers a, b and c must be integers.
Thus, we multiply the equation by 2, on both sides so as not to alter the equality.
Thus, the equation of , in its standard form is given by:
Answer:
Option B