We observe that
the vertex of f(x) is located at the point (0,0)
and
the vertex of g(x) is situated at (0,5)
thus,
(x,y) in f(x) becomes -------> (x,y+5) in g(x)
g(x)---------> f(x)+5
g(x)=x²+5
the answer is
g(x)=x²+5
The values of the two supplementary angles are 89 and 1.
To arrive at this, we set the angles as A and B.
We understand that A=B+88 and A+B=90 degrees. Solving this gives A as 89 and B as 1.
Answer:
a) Ann has a 1/3 chance of winning in the first round
b) The chance of Ann winning for the first time in the fourth round is 8/81
c) The probability that Ann's first win occurs after the fourth round is 16/81
Step-by-step explanation:
a) Each strategy is played with a probability of 1/3. Given any strategy, there’s a 1/3 chance that Bill will choose the strategy that allows Ann to win. Consequently, the probability of Ann securing a victory in the first round (or any round) is
1/3 * 1/3 + 1/3 * 1/3 + 1/3 * 1/3 = 1/9 + 1/9 + 1/9 = 1/3.
Thus, the likelihood of Ann winning the initial round is 1/3.
b) The chances of Ann winning a round stand at 1/3; therefore, her chances of not winning are 2/3. This must happen three times before her first victory. Thus, the probability that Ann's first win occurs in the fourth round is
(2/3)³ * 1/3 = 8/81.
c) The first victory happens after the fourth round if she remains unsuccessful in the first four rounds, translating to a possibility of (2/3)⁴ = 16/81.
To respond to this inquiry, we must assume that Eva works for 8 hours each day. If that's the case, then on the first day, Eva will complete jobs w, x, and v, amounting to six hours of work. Since job y takes 4 hours, she will only have 2 hours of work that day, leaving her with 2 hours remaining to continue on job y. The following day, she will use those 2 hours to finish job y, completing it, and also work on job z (which takes hours). Consequently, she will have tackled 4 jobs on the first day and 2 jobs on the second, resulting in an average of 3 jobs each day.
This assumption is based on an 8-hour workday and indicates that Eva can initiate jobs she can't finish within the same day.
The provided equation illustrates the total distance Michael covered during an afternoon of sledding. In this equation, u represents the hours spent climbing the hill, while (u – 2) reflects the hours spent sledding down. To find the solution: The correct choice is D.
