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:
The significance of the sample is that at it is statistically significant at 0.01 level ( i.e. of observing the sample < 0.01 )
Step-by-step explanation:
The sample observation which is 121 mothers that take vitamin supplements have male babies with mean weight of : 3.67 kg
while the National average birth weight = 3.39 kg
probability of observing such a sample = 0.0015
Hence the significance of the sample is that at it is statistically significant at 0.01 level ( i.e. of observing the sample < 0.01 )
I can’t see it it’s to blurry for me
Answer:
32 blocks
Step-by-step explanation:
distance between home (0,0) and mall (0,7) = 7
distance between mall (0,7) and movies (9,7) = 9
distance between movies (9,7) and store (9,0) = 7
distance between store (9,0) and home (0,0) = 9
7 + 9 + 7 + 9 = 32 blocks
Answer: B and E
Step-by-step explanation:
