We are to determine if the given are differences of perfect cubes and in order to do so, we simply have to calculate for the cube root of the terms in the given.
(a) 9a³ - 27 = ((∛9)a)³ - 3³ ; NO
(b) 125a¹² - 72 = (5a⁴)³ - (∛72)³ ; NO
(c) 216a⁶ - 27y³ = (6a²)³ - (3y)³ ; YES
(d) 8a¹⁵ - 27 = (2a⁵)³ - (3)³ ; YES
(e) 225a³ - 216 = (15a)³ - (6)³ ; YES
Therefore, the answers are the third, fourth, and fifth choices.
Setup
0.8x + 0.4y = 50
0.1x + 0.2y = 10 - Multiply by -2 and add
get
0.6x = 30
x = 50 mg compound A
.1 (50) + .2y = 10
5 + .2y = 10
.2y = 5
y = 25 mg compound B
Answer:
(3 * 100,000) + (0 * 10,000) + (4 * 1000) + (0 * 100) + (5 * 10) + (6 * 1)
Step-by-step explanation:
We want to represent the value of this number using expanded notation
Mathematically, that will be;
(3 * 100,000) + (0 * 10,000) + (4 * 1000) + (0 * 100) + (5 * 10) + (6 * 1)
= 300,000 + 0 + 4000 + 0 + 50 + 6
= 304,057
Answer:
14 + k = 3k - 2
- k - k
14 = 2k - 2
+2 +2
16 = 2k
8 = k
Step-by-step explanation: