What is the probability that, after making two rolls with a fair (six-sided) die, you find that one or both of the rolls is grea
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Answer:
Step-by-step explanation:
Transformation rule for dilation:
, where k = scale factor
Given : Scale factor =
Parallelogram JKLM has vertices J(-1, 6), K(0, 9), L(6, −3), and M(3, −3)
Vertices after dilation:
Hence, the coordinates of the image if the parallelogram =
Answer:
A function f(x) is said to be periodic, if there exists a positive real number T such that f(x+T) = f(x).
You can also just say: A periodic function is one that repeats itself in regular intervals.
Step-by-step explanation:
The smallest value of T is called the period of the function.
Note: If the value of T is independent of x then f(x) is periodic, and if T is dependent, then f(x) is non-periodic.
For example, here's the graph of sin x. [REFER TO PICTURE BELOW]
Sin x is a periodic function with period 2π because sin(x+2π)=sinx
Other examples of periodic functions are all trigonometric ratios, fractional x (Denoted by {x} which has period 1) and others.
In order to determine the period of the determined graph however, just know that the period of the sine curve is the length of one cycle of the curve. The natural period of the sine curve is 2π. So, a coefficient of b=1 is equivalent to a period of 2π. To get the period of the sine curve for any coefficient b, just divide 2π by the coefficient b to get the new period of the curve.
Hopefully this helped a bit.
The double implication "if and only if" is graphically represented by an arrow pointing in both direction, so the correct writing is