Answer:
D. 18.18
Step-by-step explanation:
Based on the information given we would set up the ratio
We then cross multiply to get 20x25=27.5x
multiply
500=27.5x
divide to solve for x
x=18.18
width = 18.18
Answer:
25 ft^2
Step-by-step explanation:
In direct variation, if y varies directly with x, then the equation has the form
y = kx,
where k is the constant of proportionality. y is proportional to x.
Let's call the area y and the distance x.
Here, the area varies with the square of the distance, so the equation has the form
y = kx^2
Here, y is proportional to the square of x.
We can find the value of k by using the given information.
y = kx^2
When x = 20 ft, y = 16 ft^2.
16 = k(20^2)
k = 16/400
k = 1/25
The equation of the relation is:
y = (1/25)x^2
Now we use the equation we found to answer the question.
What is y (the area) when x (the distance) is 25 ft?
y = (1/25)x^2
y = (1/25)(25^2)
y = 25
Answer: 25 ft^2
Answer: The volume of largest rectangular box is 4.5 units.
Step-by-step explanation:
Since we have given that
Volume = 
with subject to 
So, let 
So, Volume becomes,
Partially derivative wrt x and y we get that
By solving these two equations, we get that
So, 
So, Volume of largest rectangular box would be
Hence, the volume of largest rectangular box is 4.5 units.
Answer:
It is not a function!
Step-by-step explanation:
It is not a function!
A function can't have two y-values assigned to the same x-value. In this case, you can se that for x=1 we have two y-values, which are y= -2 and y= -3.
We can have have two x-values assigned to the same y-value, that's why it's okay that for x=1 and x=3 we have the same y-value y=-2
8x-5 would be the largest angle because as you approach a larger and larger x value, 8x-5 will skyrocket past the other two. Also when you plug in a low value like 1, 8x-5=3, which is still higher than the other two. The only exception is if you plug in a negative x value which is impossible.
8x-5
