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>
1/2 ......................
Answer:
<u>Part A</u>
Applying Distributive property: 
<u>Part B</u>
Step-by-step explanation:
<em><u> Attached is the model that belongs to this exercise (The model was missing)</u></em>
The formula for calculate the area of a rectangle is:
Where "l" is the lenght and "w" is the width.
<u>Part A</u>
Notice that the dimensions of the new bathroom are:
We do not know the width of the new bathroom, but we know that both rooms will have the same length. Knowing this, we can write an expression for the total area of both rooms by using the Distributive Property:
Applying Distributive property:
<u>Part B</u>
If the width of the bedroom is 18 feet, you need to substitute this value into the expression in order to find the total square footage of the two rooms:
Answer:
Let x = # of commercials
y = # of movies
<u>System of Equations:</u>
x + y = 90
40x + 110y = 500
Step-by-step explanation:
We have to set our variables before we start solving. After setting the variables, we can set up the equations. If x = # of commercials and y = # of movies, then we can assume x + y = 90, as there have been a total of 90 commercials and movies played altogether. Then, we know that their worth is $500, so the price of all the commercials played and the price of all the movies played (which is 40x + 110y) sum to $500.
The independent quantity is the price to play 1 game, and the dependent quality is however many games are played.
