Answer:
x = 7 is repeated twice.
Hence, there is NO MORE unique input. We can not have repeated inputs.
Thus, the relation is NOT a function.
Step-by-step explanation:
Given the relation
- {(6, 8), (7, 10), (7, 12), (8, 16),
(10, 16)}
We know that a relation is a function that has only one output for any unique input.
As the inputs or x-values of the relations are:
at x = 6, y = 8
at x = 7, y = 10
at x = 7, y = 12
at x = 8, y = 16
at x = 10, y = 16
If we closely observe, we can check that there is a repetition of x values.
i.e. x = 7 is repeated twice.
Hence, there is NO MORE unique input. We can not have repeated inputs.
Thus, the relation is NOT a function.
Answer: = (-2,3)
Step-by-step explanation:
- Rotation is a transformation of a figure by rotating it for a specific angle about a fixed point.
Here, fixed point = origin = (0,0)
Transformation rule for rotation of 
counterclockwise about the origin:
Then, the image of the point (3,2) = (-2,3)
Hence, the image of the point (3,2) after a rotation of counterclockwise about the origin = (-2,3)
9514 1404 393
Answer:
- (x +1)² = 4
- (D) x = -1 ±2
Step-by-step explanation:
Start by getting the x-terms on one side of the equal sign. We can do that by subtracting x from both sides.
3 = x² +2x
Now, add the square of half the x-coefficient.
3 +1 = x² +2x +1
(x +1)² = 4 . . . . . . . . write as a square in the desired form
__
To solve, take the square root, and add the opposite of the left-side constant.
x +1 = ±2
x = -1 ±2 . . . . . . matches choice (D)
Answer:
Step-by-step explanation:
You are trying to find the value of K, so to do that you need to get k by itself (example : K= 3-5 instead of K+5= 3)
So in 1a i would simplify 7k-3k= 4k
then 4k=11
now to get rid of the 4 and get the k alone- you DIVIDE 4k by 4 and divide 11 by 4 cause you need to do it on both sides of the equation, it should look like this.
4k= 11
- = -
4 4
(4k over 4 and 11 over four)
so the answer is k = 2.75 cause 11/4 = 2.75
