<span>In order to add and subtract fractions, we must be able to find a <u>common denominator</u>.
The LCD, or least common denominator, is the LCM of the denominators. Once we've added, subtracted or multiplied fractions, we often have to simplify the fraction.
In order to do this, we divide the numerator and denominator by their GCF. This means we must be able to find the LCM and GCF in order to work with fractions.</span>
Answer:
The answer is <em>1</em>.
Step-by-step explanation:
Given the expression:
To find:
The expression without absolute value.
Solution:
First of all, let us learn about the absolute value function:
i.e. value is x if x is positive
value is -x if x is negative
Here the given expression contains two absolute value functions:
and 
Using the definition of absolute value function as per above definition.
Now, it is given that z < 5 that means z will also be lesser than 6 i.e. z < 6
So, given expression will be equivalent to :
So, the expression is equivalent to <em>1</em>.
Answer:
14.4 miles
Step-by-step explanation:
5 goes into 18 3.6 times and 3.6 x 4 = 14.4, she can run 3.6 miles per hour
Answer:
h(-67) = 3158
General Formulas and Concepts:
Order of Operations: BPEMDAS
- Substitution and Evaluation
Step-by-Step Explanation:
Step 1: Define
h(x) = -49x - 125
h(-67)
Step 2: Solve
1. Substitute: h(-67) = -49(-67) - 125
2. Multiply: h(-67) = 3283 - 125
3. Subtract: h(-67) = 3158
