The area is:
A = x * y
The perimeter is:
P = 2x + 2y = 100
We clear y:
2y = 100-2x
y = 50-x
We write the area in terms of x:
A (x) = x * (50-x)
Rewriting:
A (x) = 50x-x ^ 2
Deriving:
A '(x) = 50-2x
We equal zero and clear x:
50-2x = 0
x = 50/2
x = 25
Then, the other dimension is given by:
y = 50-x
y = 50-25
y = 25
Therefore, the largest area is:
A = (25) * (25)
A = 625 feet ^ 2
Answer:
the largest area you can enclose using the materials you have is:
A = 625 feet ^ 2
Answer:
Step-by-step explanation:
The vertical displacement function is 
, where 
is measured in meters and 
in seconds. Ball hits the ground when 
. That is:
Whose roots can be found by using the General Formula for Second-Order Polynomials:
Solutions of this polynomial are:
Only the first root is physically consistent.
Answer:
The hourly charge is $4 per hour for the first 3 hours.
The rate then drops to $2 per hour until the end of the 6th hour.
The hourly rate drops further to $1 per hour between the 6th and 10th hours.
The maximum price of the bike rental is $30.
Step-by-step explanation:
The slope of the graph corresponds to the hourly rate for the bike rental.
During the first three hours of the bike rental, the price increases by $4 each hour.
Between the 3rd and 6
th hours, the slope of the graph is 2, which means the hourly rate of the bike rental is $2 per hour.
Between the 6th and 10th hours, the rate is $1 per hour.
After the 10th hour, the price, P, stops increasing. The maximum price of the bike rental is $30.
Answer:
You would expect the outcome to be void 240 times
Step-by-step explanation:
1000 x 0.24
Thanks for posting your question here. The answer to the above problem is x = <span>48.125. Below is the solution:
</span>
x+x/7+1/11(x+x/7)=60
x = x/1 = x • 7/7
x <span>• 7 + x/ 7 = 8x/7 - 60 = 0
</span>x + x/7 + 1/11 <span>• 8x/7 - 60 = 0
</span>8x <span>• 11 + 8x/ 77 = 96x/ 77
</span>96x - 4620 = 12 <span>• (8x-385)
</span>8x - 385 = 0
x = 48.125
