Answer:
D
Step-by-step explanation:
Solution:-
The standard sinusoidal waveform defined over the domain [ 0 , 2π ] is given as:
f ( x ) = sin ( w*x ± k ) ± b
Where,
w: The frequency of the cycle
k: The phase difference
b: The vertical shift of center line from origin
We are given that the function completes 2 cycles over the domain of [ 0 , 2π ]. The number of cycles of a sinusoidal wave is given by the frequency parameter ( w ).
We will plug in w = 2. No information is given regarding the phase difference ( k ) and the position of waveform from the origin. So we can set these parameters to zero. k = b = 0.
The resulting sinusoidal waveform can be expressed as:
f ( x ) = sin ( 2x ) ... Answer
I added a screenshot with the complete question
Answer:x = 3
y = 9
Explanation:1- getting the value of x:We are given that:
side AB is congruent to side DF. This means that:
AB = DF
3(2x+10) = 12x + 12
6x + 30 = 12x + 12
12x - 6x = 30 - 12
6x = 18
x = 18/6
x = 3
2- getting the value of y:We are given that:
side BC is congruent to side FG. This means that:
BC = FG
2y + 12 = 2(2y-3)
2y + 12 = 4y - 6
4y - 2y = 12 + 6
2y = 18
y = 18/2
y = 9
Hope this helps :)
To get the x-intercept you put y=0
0=2x-8
2x=8 , x=4
the point is (4,0)
Answer: The table and figure are given below,
Solution:
The given equation is
.
put x=0 in the equation.



Similarly find the values of y at different values of x. The values are shown in the table.
From table it is notices that the value of y=-2 for x=0, y=-1 for x=3, y==-3 for x=-3, y=0 for x=6.
Plot these points in the coordinate plane and joint them by a straight line.
The gra his shown in below figure.
There is one 8 in each intervals: 1-10, 11-20, 21-30, 31-40, 41-50, 51-60, 61-70, 71-79, 90-100, and ten numbers with 8 in 80-89.
from 1-100, there are a total of nineteen 8's.
So from 101-200, there will be nineteen as well. Same goes for 201-300.
so,
19*3=57
There are fifty seven number with 8 from 1 to 300