Answer:
The dependent variable is the distance, the equation is y = 22x, and the dragonfly will travel 528 miles.
Step-by-step explanation:
See the graph attached.
It is clear from the graph that the dependent variable is distance and the equation of the straight line is y = 22x, where x is the independent variable times in hours and y is the dependent variable distance in miles.
Now, for x = 24 hours, from the equation we get, y = 22 × 24 = 528 miles.
So, the dragonfly will travel 528 miles. (Answer)
The area will be:
A=x(25-x)
A=25x-x^2
For the area to be maximize the rate of change of area will be zero, or dA/dx=0
dA/dx=25-2x
25-2x=0
2x=25
x=12.5
So the dimensions will be 12.5 and (25-12.5)=12.5. Thus the greatest area possible with 50 foot of fencing is a square with sides of 12.5 feet.
(A square always results in the greatest possible area for a rectangular plane for a given amount of material...so in general, all such problems will result with dimensions of a square with sides equal to the material divided by four.)
Answer: sqrt2
Explanation:
I attach a photo please check it:
X is amount of books.
x ≤ 9 if the books are 2 inches thick.
x ≤ 18 if the books are 1 inches thick.
Equation for 1 inches.
x ≤ 18
Equation for 2 inches.
2x ≤ 18
Equation for both.
x + 2y = 18
y is amount of 2 inch books
This one equation above is standard form.