Answer:
9.75
Step-by-step explanation:
20h = 195
h = 195/20
h = 9.75
Answer: $9.75/hour
Answer:
a) 
b) 
c) 
d) There are two possible answers only considering real coefficients:
(i) 
(ii) 
e) 
Step-by-step explanation:
Now we proceed to solve each algebraic equation:
a) Factor 
This binomial is of the form
. In this case, we can rewrite and factor the equation below:



b) Factor 
This binomial is of the form
. In this case, we can rewrite and factor the equation below:



c) Nicole is factoring
by using the rule
. What will she use for the value of
?
From this rule we find that
, that is:




d) Which binomial is a difference of squares?
A binomial is a difference of square if and only if
. There are two possible answers only considering real coefficients:
(i) 
(ii) 
e) Factor 
This binomial is of the form
. In this case, we can rewrite and factor the equation below:



Answer:
Length = 5p + 3
Perimeter = 26p + 6
Step-by-step explanation:
Given
Area = 40p² + 24p
Width = 8p
Solving for the length of deck
Given that the deck is rectangular in shape.
The area will be calculated as thus;
Area = Length * Width
Substitute 40p² + 24p and 8p for Area and Width respectively
The formula becomes
40p² + 24p = Length * 8p
Factorize both sides
p(40p + 24) = Length * 8 * p
Divide both sides by P
40p + 24 = Length * 8
Factorize both sides, again
8(5p + 3) = Length * 8
Multiply both sides by ⅛
⅛ * 8(5p + 3) = Length * 8 * ⅛
5p + 3 = Length
Length = 5p + 3
Solving for the perimeter of the deck
The perimeter of the deck is calculated as thus
Perimeter = 2(Length + Width)
Substitute 5p + 3 and 8p for Length and Width, respectively.
Perimeter = 2(5p + 3 + 8p)
Perimeter = 2(5p + 8p + 3)
Perimeter = 2(13p + 3)
Open bracket
Perimeter = 2 * 13p + 2 * 3
Perimeter = 26p + 6