Answer: x = -22
Step-by-step explanation:
Look at picture!
Answer:
sorry for late but there is a connection problem.
Answer:
f(0)=11
Step-by-step explanation:
f(x) is a linear function, hence it is of the form f(x)=ax+b for some constants a,b.
When we divide f(x) by x-3 the remainder is 5. Moreover, using the division algorith we have that

hence 5=b+3a.
On the other hand, when we divide f(x) by x-4 the reminder is 3. Also, using the division algorithm, we have that

hence 3=b+4a.
Therefore, to find f(x), we have to solve the linear sistem

If we substract the first and the second equation, we get

and using the last result we get that

Hence, f(x)=-2x+11, and so f(0)=11.
The probability of rolling 1 number, a four, on a 6-sided number cube, is 1/6.
On the second roll, the probability of rolling 1 number, a four, is again 1/6 (remember theoretical probability for one event does not consider previous rolls).
But the probability of rolling a four on 2 on consecutive rolls will be the probability of the first event times the probability of the second event. Think of it as rolling a four on the first time <em>and</em> the second time, and whenever there is "and" you need to multiply the probabilities. The probability of rolling a four on two consecutive rolls is
(1/6)*(1/6) = 1/36.