Answer:
f(2) = -40
Step-by-step explanation:
Just substitute x=2 into the function:
f(x) = 2x³ - 3x² - 18x - 8
f(2) = 2(2)³ - 3(2)² - 18(2) - 8
f(2) = 2(8) - 3(4) - 36 - 8
f(2) = 16 - 12 - 44
f(2) = 4 - 44
f(2) = -40
The answer to the question is d
Answer: no
Step-by-step explanation: the ratio 3:5 can be written as 3/5 which 3/5 is not equal to 4/6 or 7:9
Answer:
in the theory of chances, it states that no matter what the average, chance can change it no matter what. Like someone getting good chances in a video game 2 times in a row. its rare, but compared to how many people play the game and how often, it was bound to happen at some point. the chances could be tiny, but it could still happen. just like if 100 monkeys were on typewriters typing 60 wpm, one would eventually type Abraham Lincoln. low chance, but if all these monkeys are doing it enough, it would happen eventually. so, it is entirely possible that 2/3 of his next predictions will be correct.
Step-by-step explanation:
I suspect you meant
"How many numbers between 1 and 100 (inclusive) are divisible by 10 or 7?"
• Count the multiples of 10:
⌊100/10⌋ = ⌊10⌋ = 10
• Count the multiples of 7:
⌊100/7⌋ ≈ ⌊14.2857⌋ = 14
• Count the multiples of the LCM of 7 and 10. These numbers are coprime, so LCM(7, 10) = 7•10 = 70, and
⌊100/70⌋ ≈ ⌊1.42857⌋ = 1
(where ⌊<em>x</em>⌋ denotes the "floor" of <em>x</em>, meaning the largest integer that is smaller than <em>x</em>)
Then using the inclusion/exclusion principle, there are
10 + 14 - 1 = 23
numbers in the range 1-100 that are divisible by 10 or 7. In other words, add up the multiples of both 10 and 7, then subtract the common multiples, which are multiples of the LCM.
