Answer:
18x + 8x^2 + 7 divided by 1 + 2x
2280 cm2, 2*((24*10)/2)+24*34+10*34+34*26=2280
Answer:
Range: {-1, 0, 1}
General Formulas and Concepts:
<u>Math</u>
<u>Algebra I</u>
- Range is the set of y-values that are outputted by function f(x)
- {Set Builder Notation}
Step-by-step explanation:
<u>Step 1: Define</u>
[Relation] {(-4, 1), (-2, 0), (8, -1)}
<u>Step 2: Identify</u>
According to the relation, our y-values are 1, 0, and -1. These values would encompass our range.
Answer:
Step-by-step explanation:
This is the sum of perfect cubes. There is a pattern that can be followed in order to get it factored properly. First let's figure out why this is in fact a sum of perfect cubes and how we can recognize it as such.
343 is a perfect cube. I can figure that out by going to my calculator and starting to raise each number, in order, to the third power. 1-cubed is 1, 2-cubed is 8, 3-cubed is 27, 4-cubed is 64, 5-cubed is 125, 6-cubed is 216, 7-cubed is 343. In doing that, not only did I determine that 343 is a perfect cube, but I also found that 216 is a perfect cube as well. Obviously, x-cubed and y-cubed are also both perfect cubes. The pattern is
(ax + by)(a^2x^2 - abxy + b^2y^2) where a is the cubed root of 343 and b is the cubed root of 216. a = 7, b = 6. Now we fill in the formula:
(7x + 6y)(7^2x^2 - (7)(6)xy +6^2y^2) which simplifies to
(7x + 6y)(49x^2 - 42xy + 36y^2)
