9514 1404 393
Answer:
- 0 ≤ m ≤ 7
- 0.4541 cm/month; average rate of growth over last 4 months of study
Step-by-step explanation:
<u>Part A</u>:
The study was concluded after 7 months. The fish cannot be expected to maintain exponential growth for any significant period beyond the observation period. A reasonable domain is ...
0 ≤ m ≤ 7
__
<u>Part B</u>:
The y-intercept is the value when m=0. It is the length of the fish at the start of the study.
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<u>Part C</u>:
The average rate of change on the interval [3, 7] is given by ...
(f(7) -f(3))/(7 -3) = (4(1.08^7) -4(1.08^3))/4 = 1.08^3·(1.08^4 -1)
≈ 0.4541 cm/month
This is the average growth rate of the fish in cm per month over the period from 3 months to 7 months.
a) (f+g)(x) = f(x) + g(x) = -4x + 5x = x
b) -9(x) = -9x? I have no idea what this means.
c) (f o g)(x) = (f(g(x)) = f(5x) = -4 (5x) = -20x
Answer:
length: 14.2 ft; width 4.2 ft.
Step-by-step explanation:
Let x represent the length of the rectangle in feet. Then x-10 represents the width, and the area is ...
area = length×width
60 = x(x -10) . . . . . substitute the expressions for area, length, width
60 = x² -10x
85 = x² -10x +25 . . . . add (10/2)² to complete the square
85 = (x -5)² . . . . . . . . . rewrite as a square
√85 = x -5 . . . . . . . . . take the square root. Only the positive root is useful for this problem
x = 5 + √85 ≈ 14.2
x-10 = 4.2
The length and width of the rectangle are 14.2 ft and 4.2 ft.
Answer:
<u>343</u> people
Step-by-step explanation:
7 x7=49
49 x 7=343
Hope this helps,if so like it,pplz
Answer:
Ashton is correct. The quadratic expression has the factors (2x−5) and (3x+5), so the zeros are at x=5/2 and x=−5/3.
Step-by-step explanation:
The answer itself has the step-by-step explanation.
Step-by-step explanation: