Answer: 3|x| = 3x when x 
0 and 3|x| = -3x when x < 0
Step-by-step explanation: Absolute value basically refers to the distance of a point from the origin (zero), regardless of the direction. The absolute value of a number is represented by two vertical lines enclosing the number. For example, |6| = 6, or in this case, 3|x| = 3x. Here, the value is replaced by the term "x". "x" is used as a term for an unknown value/variable. so basically, we're solving for x kinda. Multiplying "x" (the unknown variable) by 3 gives us = 3x. We know from the sign that x <u>can't be below zero</u>, only <u>above or equal to</u>. So, 3lxl = 3x when x is above or equal to the origin (zero). We know from the second problem that x <u>can't be above zero </u>because of the sign <, only <u>below zero</u>. Because we can only go below zero, that positive 3 turns negative. Multiplying x by -3 gives us = -3x. So, 3|x| = -3x when x is blow the origin (zero).
Note: <u>the absolute value of a number is always positive</u>, but in this scenario this rule doesn't apply because "x" is not a number, only a unknown value.
Sorry in advance if my explanation still doesn't make sense. Math isn't my thing really.
Answer:
z-score
Step-by-step explanation:
Since we are given the mean and standard deviation of a national test (whole population) it is fair to assume a large population size, and the use of the z-score would be more appropriate, since the z-score is used for the standardization of population data, while the t-score is recommended for samples or small populations.
Answer:
This statement shows the Commutative Property of Multiplication. It basically says that now matter order in which you multiply, you still have the same answer because, for example, 4*5=5*4. You can multiply 4 by 5 but you could also multiply 5 by 4 because multiplication is commutative. :)
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
Expanding ln(3x) is simple using the rules for logarithms. Because you can seperate ln(3x) as ln(3*x), that means that you can further expand it to ln(3)+ln(x). Review these logarithm rules to help you expand more logarithms!
