The shifts of the sinus function can be described with the formula:
<span>a<span>sin<span>(<span><span>bx</span><span>−c</span></span>)</span></span></span>+<span>d, where
a is the amplitude
b is the period
c is the phase shift
d is the vertical shift
So, the graph y=3sinx is phase shifted. The phase shift can be calculated as c/b= pi/3/1=pi/3
So, the function is phase shifted for pi/3.</span>
Answer: Real world problem is "A student have c toffee he distribute
th part of those toffees to his friends. He gave total 21 toffees to his friend".
Explanation:
Let a student have c number of toffees in his bag.
It is given that he distribute
th part of those toffees to his friends.
The
th part of c toffees is,

The total number of distributed toffees is 21.

It is the same as given equation.
If we change the equation in words it means the
th part of a number c is 21.
An equation in the form

is the line
that goes through the origins and whose tangent equates

. In general, any equation in the form

is the equation of a line.
Let the distance of the first part of the race be x, and that of the second part, 15 - x, then
x/8 + (15 - x)/20 = 1.125
5x + 2(15 - x) = 40 x 1.125
5x + 30 - 2x = 45
3x = 45 - 30 = 15
x = 15/3 = 5
Therefore, the distance of the first part of the race is 5 miles and the time is 5/8 = 0.625 hours or 37.5 minutes
The distance of the second part of the race is 15 - 5 = 10 miles and the time is 1.125 - 0.625 = 0.5 hours or 30 minutes.
Answer:
Option B -
and 
Step-by-step explanation:
Given : The Thrill amusement park charges an entry fee of $40 and an additional $5 per ride, x. The Splash water park charges an entry fee of $60 and an additional $3 per ride, x.
To find : Which system of equations could be used to determine the solution where the cost per ride of the two amusement parks, y, is the same?
Solution :
Let x be the number of rides and
y be the cost per ride.
According to question,
The Thrill amusement park charges an entry fee of $40 and an additional $5 per ride.
The equation form is 
The Splash water park charges an entry fee of $60 and an additional $3 per ride.
The equation form is 
Therefore, The required system of equations form are
and 
So,Option B is correct.