The correct works are:
.
<h3>Function Notation</h3>
The function is given as:

The interpretation when Steven is asked to calculate Blue(s + h) is that:
Steven is asked to find the output of the function Blue, when the input is s + h
So, we have:

Evaluate the exponent

Expand the bracket

So, the correct work is:

<h3>Simplifying Difference Quotient</h3>
In (a), we have:


The difference quotient is represented as:

So, we have:

Evaluate the like terms

Evaluate the quotient

Hence, the correct work is:

Read more about function notations at:
brainly.com/question/13136492
Answer:
53 cupcakes
Step-by-step explanation:
Take the amount of frosting and divide by the amount needed per cupcake
431/8
53.875
We round down since we cannot frost part of a cupcake
53 cupcakes
Answer:
Option C 
Step-by-step explanation:
<u><em>Verify each expression</em></u>
case A) we have

In this expression the term of n is 6n
so
has a coefficient of positive 6
case B) we have

In this expression the term of n is -5n
so
has a coefficient of negative 5
case C) we have

In this expression the term of n is n
so
has a coefficient of positive 1
case D) we have

In this expression the term of n is -n
so
has a coefficient of negative 1
The quadratic formula is

A = 2
B = -30
C = 108
plug in the values for the equation and you'll get what the factors are
-(-30)+√(-30)²-4(2)(108))/2(2)
and
-(-30)-√(-30)²-4(2)(108))/2(2)
This will give you your A values
and just round the answers from both of the above equations