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:
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Answer:10
Step-by-step explanation:
2+4+6+.....+20- (1+3+5+7+...+19)=(2-1)+(4-3)+(6-5)+....+(20-19)=1+1+...+1 ( de 10 ori= 10 times)
=10
By applying Pythagorean theorem, we have proven that the point (-1/2, -√3/2) lies on the unit circle.
<h3>How to prove this point lies on the unit circle?</h3>
In Trigonometry, an angle with a magnitude of -120° is found in the third quarter and as such, both x and y would be negative. Also, we would calculate the reference angle for θ in third quarter as follows:
Reference angle = 180 - θ
Reference angle = 180 - 120
Reference angle = 60°.
For the coordinates, we have:
sin(-120) = -sin(60) = -1/2.
cos(-120) = -cos(60) = -√3/2.
By applying Pythagorean theorem, we have:
z² = x² + y²
z = √((-1/2)² + (-√3/2)²)
z = √(1/4 + 3/4)
z = √1
z = 1.
Read more on unit circle here: brainly.com/question/9797740
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The possible solution is having 30 rolls of wallpaper and 20 can of paints or 30 rolls of wallpaper with 46 can of paint.
<h3>
Inequality</h3>
Inequality is the non equal comparison of two or more numbers and variables.
Let x represent the number of wallpapers and y represent the number of cans.
He needs at least 30 rolls of wallpaper and at least 20 cans of paint. Hence:
x ≥ 30 (1);
y ≥ 20 (2)
Also:
32x + 28y ≤ 2240 (3)
Plotting the 3 equations using geogebra online graphing tool, the possible solution is:
(30, 20), (30, 46)
The possible solution is having 30 rolls of wallpaper and 20 can of paints or 30 rolls of wallpaper with 46 can of paint.
Find out more on Inequality at: brainly.com/question/24372553
Answer:
36
Step-by-step explanation:
6(2b - 4)
~Substitute
6(2(5) - 4)
~Simplify
6(10 - 4)
~Subtract in parenthesis
6(6)
~Multiply
36
Best of Luck!