2.12+3x=9.45
each juice was about $2.44, so your answer was correct!
Answer: y is the dependent variable
Step-by-step explanation:
In mathematics, a function is a rule for taking an input and providing an output.
A symbol that stands for an arbitrary input is called an independent variable.
A symbol that stands for an output that depends on the value of a independent variable is called a dependent variable.
y = 12x } Function
x is the independent variable = arbitrary number of hours worked.
y is the dependent variable because depends on the value of x.
<h2><em>Spymore</em></h2>
Get the derivative:
<em>y</em> = (9 - <em>x</em>²)¹ʹ³
d<em>y</em>/d<em>x</em> = 1/3 (9 - <em>x</em>²)⁻²ʹ³ d/d<em>x</em> [9 - <em>x</em>²]
d<em>y</em>/d<em>x</em> = 1/3 (9 - <em>x</em>²)⁻²ʹ³ (-2<em>x</em>)
d<em>y</em>/d<em>x</em> = -2/3 <em>x</em> (9 - <em>x</em>²)⁻²ʹ³
Evaluate it at <em>x</em> = 1 :
d<em>y</em>/d<em>x</em> (1) = -2/3 • 8⁻²ʹ³
Since 8 = 2³, we have
8⁻²ʹ³ = 1 / 8²ʹ³ = 1 / (2³)²ʹ³ = 1 / 2² = 1/4
Then the tangent line has equation
<em>y</em> - 2 = 1/4 (<em>x</em> - 1) → <em>y</em> = 1/4 <em>x</em> + 7/4
First, you have to apply the order of operations.
Division and multiplication come first here and they go from left to right. So,
56/7 = 8
7*3 = 21
Then, the addition.
8 + 21 = 29.
So the value of your expression is 29.
