Answer:
1. last choice
2. first choice
Step-by-step explanation:
<h3><u>First</u><u> </u><u>Image</u></h3>
The reason why it is the last choice because when times keep going as distance also keeps increasing as well. But the last choice says that run at the end of track then turn around and run back. That means there must be a decreasing distance and a maximum value as well.
Therefore the only with max point/vertex is the absolute value which matches the last choice.
<h3><u>Second</u><u> </u><u>Image</u></h3>
First choice because the car straight forwards without any change. The car runs with a steady speed but the distance will keep changing without any change of distance.
So the answer is first choice.
Answer:
y = -1/10x^2 +2.5
Step-by-step explanation:
The distance from focus to directrix is twice the distance from focus to vertex. The focus-directrix distance is the difference in y-values:
-1 -4 = -5
So, the distance from focus to vertex is p = -5/2 = -2.5. This places the focus 2.5 units below the vertex. Then the vertex is at (h, k) = (0, -1) +(0, 2.5) = (0, 1.5).
The scale factor of the parabola is 1/(4p) = 1/(4(-2.5)) = -1/10. Then the equation of the parabola is ...
y = (1/(4p))(x -h) +k
y = -1/10x^2 +2.5
_____
You can check the graph by making sure the focus and directrix are the same distance from the parabola everywhere. Of course, if the vertex is halfway between focus and directrix, the distances are the same there. Another point that is usually easy to check is the point on the parabola that is even with the focus. It should be as far from the focus as it is from the directrix. In this parabola, the focus is 5 units from the directrix, and we see the points on the parabola at y=-1 are 5 units from the focus.
No, the given sequence is not an arithmetic sequence.
What is Arithmetic Sequence ?
An arithmetic sequence is a list of numbers with a definite pattern. If you take any number in the sequence then subtract it by the previous one, and the result is always the same or constant then it is an arithmetic sequence.
In the above question,
The sequence is 3,5/2,3/2,-3/2,...
Take the 2nd term and minus the 1st term.
Now take the 3rd term and minus the 2nd term.
We can clearly notice that the differences are not same. Hence there is no common difference and therefore it's not an arithmetic sequence
To read about arithmetic sequence click here :
brainly.com/question/27079755
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The awnser is 145
(50 divided 2) = 25
5 to the power of 3= 125
-5
=145
To solve this, you need to do 1,266-451. that equals 815. then, divide 815 by 19. you should get 43. hope that helps.