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:
NO IT IS NOT
Step-by-step explanation:
16 1/2 = 16.5 1/28 = 0.0357
NOT THE SAME!!!!!
Please mark brainiest if this is helpful! :D
Answer:
x = 3/2 + sqrt(17)/2 or x = 3/2 - sqrt(17)/2
Step-by-step explanation:
Solve for x over the real numbers:
x/x - 1 = x - 3 - 2/x
x/x - 1 = 0:
0 = x - 3 - 2/x
0 = x - 3 - 2/x is equivalent to x - 3 - 2/x = 0:
x - 3 - 2/x = 0
Bring x - 3 - 2/x together using the common denominator x:
(x^2 - 3 x - 2)/x = 0
Multiply both sides by x:
x^2 - 3 x - 2 = 0
Add 2 to both sides:
x^2 - 3 x = 2
Add 9/4 to both sides:
x^2 - 3 x + 9/4 = 17/4
Write the left hand side as a square:
(x - 3/2)^2 = 17/4
Take the square root of both sides:
x - 3/2 = sqrt(17)/2 or x - 3/2 = -sqrt(17)/2
Add 3/2 to both sides:
x = 3/2 + sqrt(17)/2 or x - 3/2 = -sqrt(17)/2
Add 3/2 to both sides:
Answer: x = 3/2 + sqrt(17)/2 or x = 3/2 - sqrt(17)/2
Answer:
1/2
Step-by-step explanation:
isolate the variable by dividing each side by factors that don't contain the variable
Answer:
5.1 centimeters (5.08 not rounded)
Step-by-step explanation:
1 inch=2.54 centimeters
2.54*2=5.08
