fraction numerator 4 open vertical bar a close vertical bar over denominator 2 end fraction plus open vertical bar a minus 3 close vertical bar
What is the value of this expression when a = -6?
geez - ever think of just typing the math?
4|a|/2 + |a-3|
when a = -6 is
4|-6|/2 + |-6-3| = 24/2 + 9 = 21
Are you trying to say something like:
4|a| / 2 + |a - 3| ?
then if a = -6
4|-6| / 2 + |-6 - 3|
= 24/2 + 9
= 12 + 9
= 21
−l0.4∣
To find the value of the expression when a = -6, substitute -6 for a in the expression:
4|a|/2 + |a - 3|
Replacing a with -6:
4|-6|/2 + |-6 - 3|
Simplifying:
4|6|/2 + |-6 - 3|
4(6)/2 + |-6 - 3|
24/2 + |-9|
12 + 9
The value of the expression when a = -6 is 21.
To find the value of the given expression when \(a = -6\), we will substitute the value of \(a\) into the expression and simplify.
The given expression is:
\(\frac{{4\left|a\right|}}{2} + \left|a - 3\right|\)
Step 1: Substitute \(a = -6\) into the expression.
\(\frac{{4\left|-6\right|}}{2} + \left|-6 - 3\right|\)
Step 2: Simplify the absolute value expressions.
Since \(\left|-6\right|\) equals 6 and \(\left|-6 - 3\right|\) equals 9, the expression becomes:
\(\frac{{4(6)}}{2} + 9\)
Step 3: Simplify the numerical expression within the fraction.
\(\frac{{24}}{2} + 9\)
Step 4: Simplify the fraction by division.
12 + 9
Step 5: Perform addition.
21
Therefore, when \(a = -6\), the value of the given expression is 21.