Answer:
x ∈ {−0.766664695962, 2, 4}
Step-by-step explanation:
The equation is a combination of polynomial and exponential functions. There are no algebraic methods for solving such an equation. Graphical and iterative methods work nicely, though.
The attached graph shows integer solutions at x=2 and x=4. There is also an irrational negative solution near x = −0.766664695962. The latter was found by using Newton's method iteration on the graphical value of -0.767.
For the answer to the question above asking w<span>hich of the following is true for the rational function f(x) = x-4/x^2-16?
The answer is
</span><span>g(x)=2 / x^2-16 </span>
<span>g(x) = 2 /(x+4)(x-4) </span>
<span>setting the denominator to 0, the vertical asymptotes are x = 4 and x = -4
I hope my answer helped you. Feel free to ask more questions. Have a nice day!</span>
Answer:
0.4%
Step-by-step explanation:
In this case, because the coins have been replaced, the final probability would be multiplying the same probability six times (or raising it to exponent 6.). In other words, the probability of a dime coming out.
This probability would be the amount of dimes divided by the total number of coins, as follows:
Total coins = 10 + 8 + 2 = 20 coins.
So the probability would be: 8/20 = 2/5
The final probability would then be:
(2/5) ^ 6 = 0.004
In other words, the probability of this event occurring 6 times in a row is 0.4%
-9,-3,3,9,-9,-3,3,9 so forth until -3