<em>This means that at some specific number of days the cost for Oceanview and Beachside will be the same.</em>
<h2 /><h2>
Explanation:</h2>
See the complete question in the attached file. In this exercise, we know that Oceanview charges $100 per day plus a one-time fee of $40. This can be represented by the following equation:
Total cost for Oceanview:
Total cost for Beachside:
Where:
So we have to explain what the equation:
represents in the context of the problem. We have used substitution in order to get that equation, so <em>this means that at some specific number of days the cost for Oceanview and Beachside will be the same.</em>
This value was calculated and we get that<em> the cost at the hotels will be the same after 4 days and it will be $440.</em>
<h2>
Learn more:</h2>
Linear equations: brainly.com/question/12412678
#LearnWithBrainly
Answer:
first one: x<9 second: x<3.5 or 7/2
Step-by-step explanation:
first: substract 3 from both sides
second: substract 5 and then divide by 2
I don't think you use a fraction. You multiply .6666 by 72 which equals 47.9952 or rounded 48. :)
Answer:
y + 2 = -4/5 (x - 3)
Step-by-step explanation:
y - y1 = m (x - x1). Put in your points for y1 and x1, and always remember to flip your signs.
unfortunately, I don't know why that isn't one of your answers, so sticking with the positive 2 I would choose y+2=- (- 3) if I were you. Looks like the -4/5 disappeared somehow?
Hope this helps
Assume:
Size of sides = x m
Depth of the pool = y m
Therefore, surface area = x^2+4xy =10 m^2
Then, y = (10-x^2)/(4x)
Now,
Volume (V) = x^2*y = x^2*y =x^2(10-x^2)/4x = (10x-x^3)/4 = 1/4(10x-x^3)
For maximum volume, first derivative of volume function is equal to zero.
That is,
dV/dx =0 = 1/4(10-3x^2)
Then,
1/4(10-3x^2) = 0
10-3x^2 = 0
3x^2=10
x= sqrt (10/3) = 1.826 m
And
y= (10-1.826^2)/(4*1.826) = 0.913 m
Therefore,
V= 1.826^2*0.913 = 3.044 m^3
