Answer:
8/25
Step-by-step explanation:
Steps:
1. First you count how many number are divisible by three. The numbers are 3, 6, 9, 12, 15, 18, 21, and 24, which is a total count of 8 numbers.
2. Then you count the numbers of slips of paper, which you know is 25.
3. Finally, put the number of numbers that are divisible by three or the total slips of paper to find your answer.
Answer:
i think -2.5 -0.3 0.261 2.1
the image and the pre-image are the same thing, which means that T and S are inverse operations.
<h3>How does the pre-image relate to the final image?</h3>
Here we have two transformations:
T(x, y) = (x + 3, y - 1)
S(x,y) = (x - 3, y + 1).
Now, let's start with a point (x, y), we will apply T first:
T(x, y) = (x + 3, y - 1)
Now our point is (x + 3, y - 1), and at that point, we apply the transformation S.
S(x + 3, y - 1) = (x + 3 - 3, y -1 + 1) = (x, y)
So the image and the preimage are the same thing, which means that T and S are inverse operations.
If you want to learn more about transformations:
brainly.com/question/4289712
#SPJ1
Answer:
Step-by-step explanation:
That's an awful lot of points. You don't have to give that many. 10 or 15 points would be more than enough.
The graph touches the x axis at 1 point. That means its basic formula is y = (x - a)^2
Since it upside down, the formula is y = -(x - a)^2. A couple of other things are true.
a = 1 because that's where the graph touches the x axis. y = - x^2 has shifted 1 unit to the right.
Finally the y intercept is -4 which means that the final equation is y = -4(x-1)^2
That's all preliminary. The actual question is, what does the discriminate look like?
y = -4(x^2 - 2x + 1)
y = -4x^2 + 8x - 4
a = - 4
b = 8
c = - 4
sqrt(b^2 - 4ac)
sqrt(8^2 - 4(-4)(-4) )
sqrt(64 - 64) = 0
The answer is the third one. The answer will always be 0 when the graph touches the x axis and does not go through it.