Answer:
Step-by-step explanation:
<u>Step 1: Convert to Scientific Notation</u>
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is in standard notation
is in scientific notation
Answer:
Answer:
Step-by-step explanation:
(b+8)≤18
(a) Using the table, give the values fo rthe inverse
1) original table of values:
x 1 2 3 4 5
f(x) 0 1 1 5 3
2) The inverse of the function is obtained by exchanging x and f(x), this is:
( x, f(x) ) → ( f(x), x)
3) So, the table of values of the inverse of the given function is:
x 0 1 1 5 3
f⁻¹ (x) 0 1 2 3 4
(b) Is the inverse a function?
No, the inverse is not a function, since the table of the inverse shows that the x -value 1 has two different images.
This ambigüity is opposite to the definition of a function, which requires that any input value has only one output. For that reason, the inverse is not a function. You cannot tell whether the image of 1 is 1 or 2, because both are images of the same value.
Answer:
18 days
Step-by-step explanation:
Here's a short table of heights:
day 0: height = 1
day 1: height = 1 + (1/2)(1) = 3/2
day 2: height = (3/2) + (1/3)(3/2) = 3/2 + 1/2 = 2
The pattern of heights is ...
(day, height) = (0, 1), (1, 1.5), (2, 2)
The plant is growing 1/2 its original height each day, so we can write the equation ...
h = 1 + d/2
We want to find the number of days (d) that result in a height of 10 (ten times the original height).
10 = 1 + d/2
9 = d/2 . . . . subtract 1
18 = d . . . . . multiply by 2
It took 18 days for the plant to grow to 10 times its original height.
