Convert the mixed number to an improper fraction:
Subtract the fractions to get your final answer:
Answer:In a free market economy, the law of supply and demand, rather than a central government, regulates production and labor. Companies sell goods and services at the highest price consumers are willing to pay, while workers earn the highest wages companies are willing to pay for their services. A purely capitalist economy is a free market economy; the profit motive drives all commerce and forces businesses to operate as efficiently as possible to avoid losing market share to competitors.
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
By Pythagoras' Theorem:
16 + r = √(24^2 + r^2)
(16 + r)^2 = 24^2 + r^2
256 + 32r + r^2 = 576 + r^2
32r = 320
r = 10
Answer:
(x - 8)(x + 3)
Step-by-step explanation:
x² - 5x - 24
Consider the factors of - 24 which sum to give the coefficient of the x- term (- 5)
The factors are - 8 and + 3 , since
- 8 × + 3 = - 24 and - 8 + 3 = - 5
Use these factors to split the x- term
x² - 8x + 3x - 24 ( factor the first/second and third/fourth terms )
= x(x - 8) + 3(x - 8) ← factor out (x - 8) from each term
= (x - 8)(x + 3) ← in factored form
