Wow this is a good question whatttt
The left term is 8x⁶ = (2x²)³.
The right term is 27y³ = (3y)³.
The sum of cubes identity is
... a³ +b³ = (a +b)(a² -ab +b²)
Filling in the values for <em>a</em> and <em>b</em>, the factors of your expression are ...
... (2x² +3y)(4x⁴ -6x²y +9y²)
Answer:
0.875
Step-by-step explanation:
Let t = number of hours
The first candle starts at 8 inches.
It burns at 7/10 inch per hour, so in t hours it burns (7/10)t inches.
After t hours, its length is 8 - (7/10)t
The second candle starts at 6 inches.
It burns at 1/5 inch per hour, so in t hours it burns (1/5)t inches.
After t hours, its length is 6 - (1/5)t
You want the lengths to be equal, so the equation is
8 - (7/10)t = 6 - (1/5)t
1. write the division as a fraction
9+n/2>16 → 9+1/2n>16
2. multiply both sides of the inequality by 2
2x9+2x1/2n>2x16
3. multiply the numbers and reduce the numbers with greatest common divisor 2 (remove number 2, the common factor from equation)
18+n>32
4. move constant to the right by adding its opposite to both sides
18+n-18>32-18
5. eliminate the opposites
n>32-18
6. subtract the numbers
n>14
hope this helped!