Answer:
Step-by-step explanation:
We first have to write the equation for the sequence, then finding the first five terms will be easy. Follow the formatting:
and we are given enough info to fill in:
and
and
or in linear format:
where n is the position of the number in the sequence. We already know the first term is -35.
The second term:
so
and
The third term:
and
so
and we could go on like this forever, but the nice thing about this is when we know the difference all we have to do is add it to each number to get to the next number.
That means that the fourth term will be -27 + 4 which is -23.
The fifth term then will be -23 + 4 which is -19. You can check yourself by filling in a 5 for n in the equation and solving:
and
so
B. To see if it’s a function, it has to pass the vertical line test. That means draw a vertical line (going up and down) through any point on the graph and it can only go through one point. If it goes through more than 1, it’s not a function. Like in graph A, if you draw a vertical line at x=-2, it will go through two points, same at x=2. For graph b, no matter where you move a vertical line, it only passes through one point at a time, so it passes the vertical line test.
Since there are 8 students, each student gets 1/8 of the available cake. Since there is 3/4 of a cake available, they will get 1/8 of 3/4.
Source: https://www.wyzant.com/resources/answers/142015/there_are_8_students_in_a_group_and_3_4_cake_how_much_cake_will_each_student_get_if_divided_evenly
Answer: 101
Step-by-step explanation:
45 women total
17 women will not watch the game
So 33 people did not want to watch the game and 17 are women
33-17 = 16 men who won’t watch the game
So 40 men who will and 16 men who won’t equals 56 men and 45 women
56+45= 101
Answer:
x = 4/9 + sqrt(2)/3 or x = 4/9 - sqrt(2)/3
Step-by-step explanation:
Solve for x over the real numbers:
(9 x - 4)^2 = 18
Take the square root of both sides:
9 x - 4 = 3 sqrt(2) or 9 x - 4 = -3 sqrt(2)
Add 4 to both sides:
9 x = 4 + 3 sqrt(2) or 9 x - 4 = -3 sqrt(2)
Divide both sides by 9:
x = 4/9 + sqrt(2)/3 or 9 x - 4 = -3 sqrt(2)
Add 4 to both sides:
x = 4/9 + sqrt(2)/3 or 9 x = 4 - 3 sqrt(2)
Divide both sides by 9:
Answer: x = 4/9 + sqrt(2)/3 or x = 4/9 - sqrt(2)/3
