Answer:
C
Step-by-step explanation:
If the parent function is function 
and 
then
- the graph of the function
is translated a units to the right graph of the parent function; - the graph of the function
is translated a units to the left graph of the parent function; - the graph of the function
is translated a units up graph of the parent function; - the graph of the function
is translated a units down graph of the parent function.
In your case, the grapgh of the function 
is translated 2 units up the graph of the function 
Answer:
A. 133 degrees
Step-by-step explanation:
You add the two known interior numbers in the triangle to find the unknown exterior variable. In this case, the two known interior numbers are 83 and 50. 83 + 50 = 133
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.
<u>Given</u>:
The measure of ∠ABD is (4x + 15)°
The measure of ∠DBC is (13x + 7)°
We need to determine the value of x.
<u>Value of x:</u>
Since, we know the property that every angle in a rectangle is 90°
Hence, the value of x can be determined by adding the two angles and equating to 90°
Thus, we have;
Substituting the values, we have;
Thus, the value of x is 4.
Given:
40 pages in 1.6 minutes
40 / 1.6 = 25 pages per minute
25 x 5 minutes = 125 pages
40 / 1.6 = x / 5
40*5 = 1.6x
200 = 1.6x
200/1.6 = x
125 = x pages
25 : 1 = 150 : x
25x = 150
x = 150/25
x = 6 minutes
