Answer:
The fourth graph.
Step-by-step explanation:
We have f(x + 1) so the x values will be increased by 1.
first value = 108 (when x = 1)
next value = 108 * 2/3 = 72 (when x = 2)
next = 72 * 2/ 3= 48 (when x = 3)
next = 48 * 2/3 = 32 (when x = 4)
(x²+4x+3)/2(x²-10x+25)
the horizontal asymptote when the numerator and the denominator have the same degree (in this case, both of a degree of 2) is ration of the coefficients of the numerator and denominator. In this case, the coefficient for numerator x² is 1, and the coefficient for the denominator 2x² is 2, so the horizontal asymptote is y=1/2=0.5
the vertical asymptote is the x value. the denominator cannot be zero, if x²-10x+25=0, x would be 5, so the vertical asymptote is x=5
this is just one example. There can be others:
(2x²+5x+2)/[(4x-7)(x-5)] for another example, but this example has a second vertical asymptote 4x-7=0 =>x=7/4
Answer:
4 feet, 5.1 inches
Step-by-step explanation:
Answer:
the second one is correct
Step-by-step explanation:
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An exponential or geometric function can be expressed as a power of t, where t is time.
This means that if you can fit all three values into the formula
S = S0 * (1+r)^t
for a constant r, and t=1, 2, 3 (or 0, 1, 2 for simplicity), then it's exponential.
You can see right away that the first and second sets of numbers are not exponential. These are linear, because each month is a fixed value greater than the previous one.
If you look at the formula above, you can see that each successive time interval's growth can be calculated by multiplying a fixed value to the previous intervals. For example, the second month is given by:
S(1) = S0 * (1+r)
S(2) = S0 * (1+r)^2 = S0 * (1+r) * (1+r) = S(1) * (1+r)
Since each month's sales is 102% the previous month's in the fourth set, this is the one you want.
