Step-by-step explanation:
A)
The length of the box is 30 − 2x inches.
The width of the box is 30 − 2x inches.
The height of the box is x inches.
So the volume is:
V = x (30 − 2x)²
B)
V(3) = 3 (30 − 6)² = 1728
V(4) = 4 (30 − 8)² = 1936
V(5) = 5 (30 − 10)² = 2000
V(6) = 6 (30 − 12)² = 1944
V(7) = 7 (30 − 14)² = 1792
As x increases, the volume of the box increases to a maximum and then decreases.
C)
The ends of the domain occur when V = 0.
0 = x (30 − 2x)²
x = 0 or 15
So the domain is (0, 15).
Answer:
Step-by-step explanation:
This is exponential, of the form
where a is the initial amount and b is the growth/decay rate. If Ginny begins the study with 1200 frogs in the population, our a value is 1200.
If the population is decreasing 3% per year, it is decreasing 100% - 3% = 97% which, as a decimal, is .97. Our exponential function, then, is
I think it’s 4 if the lines are going up by 2
The answer is, (1, -5)...
Answer:
10 and 7x + 1
Step-by-step explanation:
The area of a rectangle is 70x + 10.
Let's factor 70x + 10.
Factor out a common factor of 10.
70x + 10 = 10(7x + 1)
Since the area of a rectangle is length * width, we can let one factor be the length and the other factor be the width.
Possible dimensions are 10 and 7x + 1