648 is the three-digit positive integers have three different digits
According to the statement
we have given that there are three positive digit number are formed with three distinct digits.
And we have to find that the how many words are formed with distinct numbers.
So, to solve this type of problem the Combination formula is best.
Because it provides the all possibilities that from how many ways numbers are formed.
So, from a combination formula
here we take 9 two times because first time when we let a number then remaining numbers are 9. and second time remaining numbers are also 9 because we let the distinct number but for third number there will be a probability that choosing number will be same.
So, Three digit positive number become from 9*9*8 =648
So, 648 is the three-digit positive integers have three different digits.
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Answer:
16. y < 1 - 2|x -2|
17. y ≥ 3 + (1/2)|x -2|
Step-by-step explanation:
16. Shading is below the dashed line, so the inequality is ...
y < (something)
The function is an inverted absolute value function with slopes ±2, so -2 is the multiplier. Its vertex is translated to (2, 1), so the parent function is modified to be ...
f(x -2) +1
With the multiplier and the comparison added, the whole inequality is ...
y < -2|x -2| +1
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17. Shading is above the solid line, so the inequality is ...
y ≥ (something)
The function is an absolute value function translated to (2, 3) and given a vertical scaling of 1/2. So, your inequality is ...
y ≥ (1/2)|x -2| +3
8:32 simplyfies to 1:4 .....there is your answer 1:4
Answer:
A and C
Step-by-step explanation:
X is the number of weeks, so it is a possitive number. As the debt reduces while weeks advance, then there should be a substraction between total debt and payments, therefore options C and D are not possible
Debt would start as a negative number in -825, and would reduce up to zero. You know that you he can pay more but not less than 85 per week, so suppouse he pays more than 85, let's say $100, then the debt should be 100-825=-725 that is larger than 85-825=-740. So The option A represent the amount of debt
2 question
After 3 weeks Martin has payed at least: 85*3=255. So debt is not more tha 825-255=570, so scenario A is possible
With the sema logic, after 4 wekks debt is not larger than: 825-4*85=485, so option B is possible
After 5 weeks: debt is not larger than= 825-5*85=400. So scenario C is NOT possible
After 6 weeks debt is not larger than 825-6*85=315, so scenario D is possible