We have the following equation:
<span> h(t)=-4.92t^2+17.69t+575
</span> For the domain we have:
<span> </span>We match zero:
-4.92t ^ 2 + 17.69t + 575 = 0
We look for the roots:
t1 = -9.16
t2 = 12.76
We are left with the positive root, so the domain is:
[0, 12.76]
For the range we have:
We derive the function:
h '(t) = - 9.84t + 17.69
We equal zero and clear t:
-9.84t + 17.69 = 0
t = 17.69 / 9.84
t = 1.80
We evaluate the time in which it reaches the maximum height in the function:
h (1.80) = - 4.92 * (1.80) ^ 2 + 17.69 * (1.80) +575
h (1.80) = 590.90
Therefore, the range is given by:
[0, 590.9]
Answer:
the domain and range are:
domain: [0, 12.76] range: [0, 590.9]
3x - 17 = 9x + 7
Rearrange on same sides
-17 - 7 = 9x - 3x
-24 = 6x
Divide by 6 on either sides to isolate 6
6 and 6 cancels out
-4 = x
Answer is:
B. x = -4
The number of pieces of 1/3 foot tall to make a 6 feet skyscraper is 18 pieces.
The model of a skyscraper comes in pieces and each piece is 1/3 feet tall.
After all the pieces are put together the skyscraper is 6 feet tall.
We have to calculate how many pieces were put together to make the 6 feet skyscraper.
Let X be the number of pieces put together to make a 6 feet skyscraper.
Now,
Each piece = 1/3 feet tall.
Since all the pieces together make 6 feet tall, we can write the number of pieces needed to make 6 feet tall as:
X x (1/3) = 6
X = 6 x 3 = 18
Thus, we need 18 pieces of 1/3 foot tall to make a 6 feet skyscraper.
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Answer:
I came up with the answer check my questions to see it
Step-by-step explanation:
