Answer:
x = 3 and x = -12
Step-by-step explanation:
To solve an absolute value equation, you create two equations, one where the right side is negated and one where the right side isn't:
| 2x + 9 | = 15 becomes:
2x + 9 = 15 and 2x + 9 = -15
2x = 6 and 2x = -24
x = 3 and x = -12
Why this works is that |-x| and |x| will both be equal to 0. Remember that absolute value is the distance a number is away from 0.
Answer:
Step-by-step explanation:
The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try!
A relation is a function if the value in its Domain does not occur more than once. This means each domain value is paired with exactly one value of range.
In the given scenario, the domain is the students (e.g name of a student) and the function returns the date of birth of the student. A student can have only one date of birth. So it is not possible that a value in Domain(i.e. a student) is paired with more than one date of births.
Therefore, we can conclude that the given relation describes a function.
Answer:
y=2
Step-by-step explanation:
y+7=9(y-1)
y+7=9y-9
y-9y=-9-7
-8y=-16
y=2