Answer:
11/21
Step-by-step explanation:
There are 10 even numbers that lie between 1 and 21 (2,4,6,8,10,12,14,16,18, and 20). These 10 balls, plus the 5-ball equals a total of 11 balls that could get picked. Therefore, the probability of picking one of these balls is 11/21.
Answer:
The equation is
Step-by-step explanation:
The exponential growth equation is , where
- a is the initial value (value y at x = 0)
- r is the rate of increasing in decimal
∵ The value of gold is appreciating 18% every hour
∴ r = 18%
∵ 18% = = 0.18
∴ r = 0.18
∵ The gold coin was worth $40 at the beginning of the crisis
∴ The initial amount is $40
∴ a = 40
∵ y represents the value of the gold after x hours
∴
- Substitute the values of a and r in the form above
∴
∴
The equation is
Answer:
See answers below
Step-by-step explanation:
Given the following functions:
r(x) = x - 6
s(x) = 2x²
r(s(x)) = r(2x²)
Replacing x with 2x² in r(x) will give;
r(2x²) = 2x² - 6
r(s(x)) = 2x² - 6
(r-s)(x) = r(x) - s(x)
(r-s)(x) = x - 6 - 2x²
Rearrange
(r-s)(x) = - 2x²+x-6
(r+s)(x) = r(x) + s(x)
(r-s)(x) = x - 6 + 2x²
Rearrange
(r-s)(x) = 2x²+x-6