If you had values instead of algebraic expressions, you would find the area of the patio and subtract that from the area of the yard. Even though you don't have values, you can still find the area and subtract by expanding and simplifying:
(8x + 2)(6x + 3)
8x × 6x = 48x²
8x × 3 = 24x
2 × 6x = 12x
2 × 3 = 6
So you get 48x² + 36x + 6 as your area of the yard
(x + 5)(3x + 1)
x × 3x = 3x²
x × 1 = x
5 × 3x = 15x
5 × 1 = 5
So the area of the patio is 3x² + 16x + 5
(48x² + 36x + 6) - (3x² + 16x + 5)
48x² - 3x² = 45x²
36x - 16x = 20x
6 - 5 = 1
So your answer is D. 45x² + 20x + 1. I hope this helps!
Answer:
Step-by-step explanation:
Given
See attachment for graph
Required
The unit cost
Pick any point on the dots of the graph; we have:
The unit cost is then calculated as:
Answer:
2n+7
Step-by-step explanation:
7 more than twice n would be:
2n+7
this is because twice n would mean that you'd multiply n by 2, and by 7 more than they mean you would add 7 to that.
2, –6 is the correct answer
Part A
The given expression is:
We expand to get:
Note that
Part Bi)
The given expression is;
We simplify to get:
Note that:
This is now of the form , where .
This explains why it is a complex number;
Part bii)
The given expression is :
We simplify to get
Part C
We want to simplify:
We rewrite in terms of