What’s the vertex g(t) = -5(x – 3)
1 answer:
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Answer:
About 5043.58
Step-by-step explanation:
The standard form for an exponential decay after t time is:
Where a is the initial value, r is the rate decay, t is the time that has passed, and d is the amount of time it takes for 1 cycle.
The initial value is 9800. So a = 9800.
The quantity cuts in half. So, r = 1/2.
And it cuts in half every 6 days. For this question, we will convert this to hours. 6 days = 144 hours. So, we can let d = 144, where t will be in hours.
Therefore, our function is:
Where t is the amount of time that has passed, in hours.
Then the quantity left after 138 hours will be:
Answer:
The initial length of the pine tree=5 feet.
Groth rate of pine tree =3 feet/year.
The initial length of the pine tree =10 feet.
Groth rate of the maple tree =2 feet/year.
After x years, the height of the pine tree= 5+3x feet and
after x years, the height of the maple tree= 10+2x feet.
The inequality for which, after x year, the pine tree is taller than the maple tree is
.
The inequality for which, the pine tree is at least as tall as the maple tree is .
.
Again, after 3x years, the height of the pine tree= 5+3(3x)=5+9x feet and
after 2x years, the height of the maple tree= 10+2(2x)=10+4x feet.
The inequality for which, after 3x years, the pine tree is taller than the maple tree was after 2x years is
The inequality for which, the pine tree is at least as tall as the maple tree is .