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:
4 ther are 4 line symmetery
Answer:
The lengths of all three sides (in feet) are = 15, 14, and 18 feet
Step-by-step explanation:
Perimeter of Triangle = 47ft
Let the one side be 'x'
<em>Side 1 = x</em>
One side of the triangle is one foot longer than the second side
<em>Side 2 = x - 1</em>
<em>The third side is four feet longer than the second side</em>
<em>Side 3 = (x - 1) + 4</em>
<em />
<em>Perimeter = sum of all sides</em>
<em>47 = x + (x - 1) + (x - 1) + 4</em>
<em>47 = x + x - 1 + x - 1 + 4</em>
<em>47 = 3x + 2</em>
<em>47 - 2 = 3x</em>
45 = 3x
<u>x = 15</u>
substitute for x in each of the sides
<em>Side 1 = x => </em><em>15 feet</em>
<em>Side 2 = x - 1 => 15 - 1 = </em><em>14 feet</em>
<em>Side 3 = (x - 1) + 4 => 14 + 4 = </em><em>18 feet</em>
Answer:
5z
Step-by-step explanation:
3z+5z-3z(3z gets cancelled)
5z
