Step 1: Read and understand the problem statement.
You are given (time, depth) pairs of (20 s, 8 cm) and (40 s, 0 cm) and asked to write an equation that describes the relationship of depth (y) to time (x).
The rate of change is (0 cm -8 cm)/(40 s -20 s) = -8 cm/(20 s) = -2/5 cm/s. Then in point-slope form using the second point, the linear function rule is
y = (-2/5)(x -40) +0
You can expand this to
y = (-2/5)x +16
y = -0.4x +16 . . . . . . using a decimal number for the slope
_____
If the bathtubs in your "draining race" start with the same level, the one with the steepest slope (-0.5 cm/s) will win.
<u>Answer-</u>
The % error of this approximation is 1.64%
<u>Solution-</u>
Here,


And,


Taking (2, f(2)) as a point and slope as, f'(2), the function would be,



The value of f(2.1) will be



According to given function, f(2.1) will be,



Answer:
8a - 6b
You have to substitute in you other numbers:
a = 4 and b = 3
Your new equation would be:
8(4) - 6(3)
Now solve:
8 x 4 = 32
6 x 3 = 18
New problem:
32 - 18
= 14
So your answer is 14.
Step-by-step explanation:
Hope this helps!
From your neighborhood softie :)
Answer:
the value is 52
Step-by-step explanation:
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