<h3>
Answer:</h3>
f(x) = -(x -2)² +3
<h3>
Step-by-step explanation:</h3>
We can fill in the vertex (h, k) values immediately in the vertex form ...
... f(x) = a(x -h)² +k
To find the value of a, we solve the equation for a at some point other than the vertex. The given point is (0, -1), so we can use that:
... -1 = a(0 -2)² +3
... -4 = 4a . . . . . . . . . subtract 3, simplify
... -1 = a . . . . . . . . . . . divide by 4
Now, we know the function is ...
... f(x) = -(x -2)² +3
Given:
The given sequence is:

To find:
The recursive formula for
, the nth term of the sequence.
Solution:
We have,

Here, the first term is 5.



The common difference is -7.
The recursive formula for the nth term of the sequence is

Where,
is the common difference.
Putting
in the above formula, we get


Therefore, the recursive formula for the nth term of the sequence is
.
Slope=
m=(y1-y2)/(x1-x2)
m=(-16--15)/(19--7)
m=(-16+15)/(19+7)
m=(-1)/(26)
Slope is -1/26
Answer: Third option.
Step-by-step explanation:
To solve this exercise it is important to remember the following:
1) By definition, equivalent expression have the same value, but they look different.
2) The multiplication of signs:

Then, given the following expression provided in the exercise:

You need to distribute the postive sign:

And finally, you must add the like terms:

As you can notice, the expression obtained matches with the expression shown in the third option.
Answer:
11 hours
Step-by-step explanation:
205
-30
-------
175
75/7
11 hours = 77$