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 = 8
Step-by-step explanation:
6x - 3 = 5x + 5
Move variable to the left hand side and change their sign.
Calculate like terms.
Move constant to the right hand side and change their sign.
<u>Check our answer :-</u>
6x -3 = 5x + 5
plug the 8 as x.
- 6 ( 8 ) - 3 = 5 ( 8 ) + 5
- 48 - 3 = 40 + 5
- 45 = 45
LHS = RHS
Answer:
Step-by-step explanation:
Hello!
Rules for scientific notation format:
- Has to be multiplied to a power of 10
- One factor has to be greater than 1 but less than 10
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There is a multiplication to a power of 10, but the other factor is less than 1.
This is NOT in Scientific Notation.
All the other options have a multiplication operation to a power of 10, and all the other factors are above 1 and less than 10.
Answer:
0.67
Step-by-step explanation: From Delta math