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:
B)
Step-by-step explanation:
−x + 3 = 2x - 3
-2x - 2x
___________
−3x + 3 = −3
- 3 - 3
_________
−6 = −3x
__ ___
−3 −3
[Plug this back into both equations above to get the y-coordinate of 1];
I am joyous to assist you anytime.
Answer:1564cm cube
Step-by-step explanation: v=r2h
v=22/7*6*6*14=1564.containter b volume of water is the total volume in container a so you just have to find container a volume
The converse of t > r is r > t
<h3>What is a converse statement?</h3>
A converse statement is determined when both the hypothesis and conclusion are reversed or interchanged.
In this condition, the hypothesis is written as the conclusion and the conclusion is changed to be the hypothesis.
If a conditional statement is written as: x → y
The converse is then written as y → x
Where;
- x is the hypothesis
- y is the conclusion
Given the expression as;
t > r
We can see that;
- The variable 't' is the hypothesis
- The variable 'r' is the conclusion
The converse will be;
r > t
Hence, the converse is r > t
Learn more about converse statement here:
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