Find an explicit formula for the arithmetic sequence 12, 5, -2, -9,...12,5,−2,−9,...12, comma, 5, comma, minus, 2, comma, minus,
Andrew [12]
Answer:
A(n) = 19 - 7n
Step-by-step explanation:
12, 5, -2, -9,...
First term, a = 12
Common difference, d = a2 - a1
a2 = 5
a1 = 12
Common difference, d = a2 - a1
= 5 - 12
= -7
d = -7
A(n) = a + (n - 1)d
A(n) = 12 + (n - 1) -7
= 12 + (-7n + 7)
= 12 - 7n + 7
= 12 + 7 - 7n
= 19 - 7n
A(n) = 19 - 7n
Answer:
2/9 = 0.22
Step-by-step explanation:
There are two ways to pick the first number odd and less than 5: 1 and 3.
With each of these, the second number drawn can be 1, 2, 3, 4, 5, 6, 7, 8 or 9.
This makes 18 total possibilities.
Out of these, the only ways to have a sum less than 5 are 1 and 1, 1 and 2, 1 and 3, and 3 and 1. This is 4 ways out of 18:
4/18 = 2/9 = 0.22
2 because if you divided 8/12 by 2/6=2
For this case we have the following function:

We can rewrite the function to identify the zeros of it.
When rewriting the function factoring we have:

Therefore, the zeros of the function are:

Thus, the graph that contains intersections on the x axis in the points mentioned, will be the graph of the function.
Answer:
See attached image.
Answer:
The value of k is 3.
Step-by-step explanation:
The function f(x) passes through the points (0,4) and (-6,-2)
So the equation of the function is
⇒ y = x + 4 ....... (1)
Again the function g(x) passes through the points (0,4) and (-2,-2).
Therefore, the equation of g(x) will be
⇒ y = 3x + 4
Therefore, g(x) = 3x + 4 = f(3x) {from equation (1).
So, the value of k is 3. (Answer)