Answer:
First one :
Function? Yes
Domain : { -1 , -2 , -3 }
Range { 10 , 13 , 16 }
Second one:
Function? No
Domain : { 2 , 3 }
Range : { 10 , 13 , 16 }
Third one :
Function ? No
Domain : { 33 , 35 , 36 }
Range : { 8 , 10 }
Step-by-step explanation:
A function is a relation where each input has its own output. In other words a function is a relation where each x value has its own y value. If an x value repeats the relation is not a function.
The domain is the set of x values in a relation whereas the range is the set of y values in a relation
For the first one. No x value repeats, each input has its own output therefore this is a function.
Domain : { -1 , -2 , -3 }
Range { 10 , 13 , 16 }
The second one : The x value 2 repeats therefore the relation is not a function.
Domain : { 2 , 3 }
Range : { 10 , 13 , 16 }
The third one : Each x value has its own y value therefore this relation is a function. ( Note that y values are allowed to repeat )
Domain : { 33 , 35 , 36 }
Range : { 8 , 10 }
Answer:
Step-by-step explanation:
Choose some values of x to plot. I usually start with zero:
5×0 + 5 = 5
Plot the point (0,5).
Then use x=-1, because it is the x- intercept:
5×(-1) + 5 = 0
Plot the point (-1,0).
Draw the line through both points.
Answer:
He had 38
You simply multiply the number by 2 because it's half.
Answer:
It can be proved that the circle R is similar to the circle Q by translating the circle R a displacement of (-6, 12).
Step-by-step explanation:
We can demonstrate that Circle R is similar to Circle Q by translating the center of the former one to the center of latter one. Meaning that every point of circle R experiments the same translation. Vectorially speaking, a translation is defined by:
(1)
Where:
- Original point.
- Translated point.
- Translation vector.
If we know that
and
, then the translation vector is:
![T(x,y) = O'(x,y)-O(x,y)](https://tex.z-dn.net/?f=T%28x%2Cy%29%20%3D%20O%27%28x%2Cy%29-O%28x%2Cy%29)
![T(x,y) = (-4,3) - (2,-9)](https://tex.z-dn.net/?f=T%28x%2Cy%29%20%3D%20%28-4%2C3%29%20-%20%282%2C-9%29)
![T(x,y) = (-6,12)](https://tex.z-dn.net/?f=T%28x%2Cy%29%20%3D%20%28-6%2C12%29)
It can be proved that the circle R is similar to the circle Q by translating the circle R a displacement of (-6, 12).
Answer:
Abebe will be exact twice as old as Aster in 8 years.
Step-by-step explanation:
Since Abebe is 12 years old, and his sister Aster is 2 years old, there is a difference of 10 years between them (12 - 2). Therefore, the difference between the two implies that Abebe is exactly twice as old as her sister when she is 10 years old, and she is 20 years old (10 x 2 = 20).
Therefore, since 20-12 equals 8, Abebe will be twice as old as her sister Aster hers in 8 years.