Rolling a number less than 4 means that rolling a 1, 2, or 3 will satisfy the requirement. Since 3 of 6 possible outcomes will satisfy the requirement then the likelihood that it will be rolled is 3/6 times. 3/6 reduces to 1/2 or 50% chance.
Answer:
See below
Step-by-step explanation:
Remember that quadratic functions are parabolas when graphed. The solutions are where the parabola crosses the x-axis.
1. The vertex of the parabola in f(x) is (0, 9) which is above the x-axis and the parabola opens up. So the parabola does not cross the x-axis. Therefore the solutions are imaginary.
2. The vertex of the parabola in g(x) is (9, 0) which is on the x-axis and parabola opens up. Therefore, there is a double solution.
3. The vertex of the parabola in h(x) is (-1, -9) which is below the x-axis and the parabola opens up. Therefore, there are two real solutions.
I know this is a long explanation, but that is a way of looking at the problem.
Answer:
Here is the formula:
Step-by-step explanation:
FV= future value of the annuity · PMT= amount of the periodic payment · r= annual interest rate written in decimal form · m=number of compounding
Answer:
5th term: -10
Step-by-step explanation:
To find the nth term in the sequence, you can substitute n into the equation:
d(n) = 6 - 4(n - 1)
Since we want the 5th term, we substitute 5:
d(5) = 6 - 4(5 - 1)
d(5) = 6 - 4(4)
d(5) = 6 - 16
d(5) = -10
