First of all we know the
Absolute Value Function that is:

This is called the
Parent Function <em>of the Absolute Value Function.</em>
From the equation:

The term:

means that the the Parent Function is <em>shifted</em>
two units <em>to the left</em>.
On the other hand, the term:

means that the function

is <em>shifted</em>
three units <em>downward. </em>So the result is the graph shown below
<span>Given that the orbital period, P, of a planet and the planet’s distance from the sun, a, in astronomical units is related by the formula P = a^(3/2).
If Saturn’s orbital period is 29.5 years, then
29.5 = a^(3/2)
a = (29.5)^(2/3) = 9.547
Therefore, Saturn's distance from the sun is 9.547 astronomical units.</span>
Answer: The cost of one sandwich is $4.25 and the cost of one cup of coffee is $2.25.
Step-by-step explanation:
Let x be the cost of one sandwich and y be the cost of one cup of coffee.
By considering the given situation, we have the following equations :-

Multiply 2 on both sides of equation (2) , we get

Subtract equation (1) from equation (3), we get

Put value of y in (1), we get

Hence, the cost of one sandwich is $4.25 and the cost of one cup of coffee is $2.25.
4x-3y =36
Move the constant to the left by adding its opposite to both sides
4x-3y-36=36-36
The sum of two opposites equals 0
Answer: 4x-3y-36=0
PLEASE MARK ME AS BRAINLIEST
= cos( -x ) * [ - sin( - x ) ] = cosx * sinx ;
cosx * sin x is the right answer !