Remark
The best way to answer something like this is to actually graph both equations. I have done that for you below.
Red Line: f(x) = 1/4x - 1
Blue Line: g(x) = 1/2x - 2
Now look at the answers.
A: The first one is incorrect. You don't need the graph to tell you that. The larger the number in front of the x, the steeper the line. Put another way, the larger the slope, the steeper the line. The y intercept is lower however.
B is wrong. g(x) is steeper, but the y intercept is lower not higher than f(x) [Negatives do strange things].
C:The g(x) is steeper (we've said that a couple of times), and it has a lower y intercept.
D is correct.
E is just wrong. Both parts are incorrect.
The answer is 90 (B)
pls make me brainliest
9514 1404 393
Answer:
A. 0 ≤ n ≤ 7
B. the height after 0 days (the initial height in cm)
Step-by-step explanation:
<h3>A.</h3>
The plant cannot be expected to continue its exponential growth curve, so a reasonable domain is the domain of the observations already made. The plant reached its height of about 11.26 cm after about 7 days. The reasonable domain for the growth function is ...
0 ≤ n ≤ 7
__
<h3>B.</h3>
The y-intercept corresponds to the n=0 value, the height of the plant at the start of the study.
_____
<em>Additional comment</em>
The value of n that gives f(n) = 11.26 can be found using logarithms.
11.26 = 8(1.05^n)
log(11.26/8) = n·log(1.05) . . . . . . divide by 8, take logs
n = log(11.26/8)/log(1.05) ≈ 7.00582
Answer:
So, the probability is P=0.0097.
Step-by-step explanation:
We know that the number of flaws in a certain type of lumber follows a Poisson distribution with a rate of 0.45 per linear meter.
We conclude that λ=0.45.
We use the Poisson formula:
We calculate the probability that a board 3 meters in length has no flaws. We get that k=3.
We calculate:
So, the probability is P=0.0097.
