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:
5750
710.7
Step-by-step explanation:
Simple interest = principal. * rate * time
Principal (p) = sum of money
1380 = p * 0.12 * 2
1380 = 0.24p
p = 1380 / 0.24
p = 5750 rupees.
The compound interest :
A = P(1 + r/n)^nt
A = final amount
n = number of compounding times per period
t = period
A = 5750(1 + 0.12/2)^2*1
A = 5750(1 + 0.06)^2
A = 5750(1.06)^2
A = 5750 * 1.1236
A = 6460.7
Hence, compound interest is :
Final amount - principal
6460.7 - 5750
= 710.7 rupees
Answer:
x = 11
Step-by-step explanation:
Using Secants ad Segments Theorem we can say;
(x + 7) (7) = (15 + 6) (6)
7x + 49 = (21) (6)
7x + 49 = 126
7x = 77
x = 11
Hope this helps!
X=117 degrees
Y = 63 degrees
Z = 117 degrees
