First, note that
is always positive (except for x=0), so
must be always negative.
Thus, the only plausible graphs are 1 and 3 since they are below the x-axis.
Now,
and
are only defined for x≥0, because only for these x'es we can take the square root.
Note that the third graph has domain (-infinity, 0], so it is not the right one, while 1 is ok.
Answer: first graph
Answer:
P(t)= 9000(0.4)^t
Step-by-step explanation:
Generally, we have an exponential function as follows;
P(t)= I(1 - r)^t
This case represents a decay ( decrease in value)
from what we have;
I represents the initial value, whereas r is the rate of change
From the question, we have that the change rate is the fraction 3/5
Writing this as a decimal, it is 0.6
substituting this back into the equation, we have;
P(t)= I(1-0.6)^t
P(t)= I(0.4)^t
I in this case is 9,000
So we have it that;
P(t) = 9000(0.4)^t
Answer: -3/2
Step-by-step explanation:Graph the line using the slope and y-intercept, or two points.
<span>1. 10 nickels.
2. 1 dime and 8 nickels.
3. 2 dimes and 6 nickels.
4. 3 dimes and 4 nickels.
5. 4 dimes and 2 nickels.
6. 5 dimes.
7. 1 quarter and 5 nickels.
8. 1 quarter, 1 dime, and 3 nickels.
9. 1 quarter, 2 dimes, and 1 nickel.
10. 2 quarters.
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