We are trying to represent the change in position of a bird flying down 7 ft to the ground.
Often, for the y axis- up is positive and down is negative.
Change in position is displacement- how far it was from the starting point
( different from distance which is how far is traveled
ex. doubling back would have distance they traveled some distance while the displacement is 0 because they are back to where they started).
The bird is going down 7 ft from where it originally was, which can be represented by
Bird's displacement = -7 ft
[x] represents floor function also called as Greatest integer function.
Floor function is the function that takes as input a real number and gives as output the greatest integer less than or equal to.
like [1.5]=1
[0.7]=0
[-0.3]=-1
Now we have to find set of x-values which satisfies equation [x-1]=[x]
Due to -1 in [x-1], it always produces output value one less than value of [x]
for example when x=0.5 then [x]=[0.5]=0, [x-1]=[0.5-1]=[-0.5]=-1
when x=1.5 then [x]=[1.5]=1, [x-1]=[1.5-1]=[0.5]=0
when x=3 then [x]=[3]=3, [x-1]=[3-1]=[2]=2
From above results we can see that there is no value of x which satisfies the given equation [x-1]=[x]
Hence there is NO solution.
There are a total of 75 balls in the bag.
45 of these balls are neither red nor blue.
45/75 = .60
There is a 60% chance that a ball that in not red or blue will be chosen.
Hope this helps!
Answer: D
<u>Step-by-step explanation:</u>
Vertex form is: f(x) = a(x - h)² + k where (h, k) is the vertex.
f(x) = (x - 3)² - 5
- the vertex is (3, 5).
- "a" is positive (+1), so it points upward.
The only graph that matches is the last one, <em>which I called graph D.</em>
