Answer:
x = - 2, x = 6
Step-by-step explanation:
Given f(x) = 18 we require to solve
3 | x - 2 | + 6 = 18 ( subtract 6 from both sides )
3 | x - 2 | = 12 ( divide both sides by 3 )
| x - 2 | = 4
The absolute value function always returns a positive value, however, the expression inside can be positive or negative, thus
x - 2 = 4 ( add 2 to both sides )
x = 6
OR
- (x - 2) = 4
- x + 2 = 4 ( subtract 2 from both sides )
- x = 2 ( multiply both sides by - 1 )
x = - 2
As a check substitute these values into the left side of the equation and if equal to the right side then they are the solutions
x = 6 → 3|6 - 2| + 6 = 3|4| + 6 = 3(4) + 6 = 12 + 6 = 18 ← True
x = - 2 → 3|- 2 - 2| + 6 = 3|-4| + 6 = 3(4) + 6 = 12 + 6 = 18 ← True
Hence solutions are x = - 2, x = 6
Answer:
D. 8
Step-by-step explanation:
the upper quartile = 8
Nothing, it's just your foot. So if going to ask a question make it reasonable. OK?
Answer:
1/9
Step-by-step explanation:
The numbers between 1 and 11 are:
2, 3, 4, 5, 6, 7, 8, 9, 10
There are 9 numbers.
Of the 9 numbers, 8, 9, and 10 are greater than 7, so there are 3 numbers greater than 7.
p(number greater than 7) = 1/3
p(>7) = 1/3
Each time a number is selected, the probability it is greater than 7 is 1/3.
For two numbers, you have two independent events, so the overall probability is the product of the individual probabilities.
p(>7 then >7) = p(>7) * p(>7) = 1/3 * 1/3 = 1/9
Round them to the nearest 10, soooo
210 divided by 10 equals
around 21
that would be your estimate using compatible numbers.
I hope this helps =)
