Answer:
Only C is a function
Step-by-step explanation:
To test whether a graph is a function you use the vertical line test.
If you can place a vertical line anywhere on the plane (in the domain of the "function" to be tested) and it intersects the curve at more than one point, the curve is not a function.
We see with A, wherever we put the vertical line it intersects twice.
With B, it intersects infinitely many times.
C is a function because wherever we put the vertical line, it only intersects once.
D is a function because it intersects twice providing we do not put it on the "tip" of the parabola.
The mathematical reasoning behind this is that a function must be well-defined, that is it must send every x-value to one specific y-value. There can be no confusion about where the function's input is going. If you look at graph B and I ask you what is f(3)? Is it 1? 2? 3? ... Who knows, it's not well-defined and so it's not a function. However if I ask you about C, whichever input value for x I give you, you can tell me to which y-value it gets mapped/sent to.
Answer:
x = 45
Step-by-step explanation:
The angles labeled with the pink x are the same. Line V and Line X are parallel and alternate interior angles are equal when the lines are parallel.
We know the 3 angles inside the triangle and the sum of the angles of a triangle are 180
x+x+ 2x = 180
4x= 180
4x/4 = 180/4
x = 45
Answer:
x = 45/17
Step-by-step explanation:
We can move all x to 1 side and all the numbers to another. You can add 8.7 on both sides and get that 2.3x = 0.8x + 4.5. Next, we subtract by 0.8x on both sides to get that 1.7x = 4.5, where we can then divide by 17/10 on both sides to get that x is equal to 45/10 * 10/17, so that means that x = 45/17.
This should help-
Triangle Total angle measures = 180
Right angle= 90
Line = 180
Answer:
There are 48 numbers that satisfy the condition
Step-by-step explanation:
Find the relationship between 3 and 12
3 * 4 = 12
The maximum number of multiples of 12 within 200 is 18.
The maximum number of multiples within 200 is 66.
So the number of numbers within 200 that go exactly into 3 but not exactly into 12 is:
66-18 = 48
