Answer:
C. 4.2a + 0.8
Step-by-step explanation:
Given:
The two binomials given for addition are:
[tex]5.4a+7.1[/tex] and [tex]-1.2a-6.3[/tex]
Now, adding both the binomials, we get:
[tex]5.4a+7.1+(-1.2a-6.3)[/tex]
Distributing the positive sign inside the second binomial, we get:
[tex]5.4a+7.1-1.2a-6.3[/tex]
Now, combining like terms using the commutative property of addition, we get:
[tex](5.4a-1.2a)+(7.1-6.3)[/tex]
Simplifying the above expression, we get:
[tex](5.4-1.2)a+0.8\\4.2a+0.8[/tex]
Therefore, the resulting addition of the given binomials is [tex]4.2a+0.8[/tex]
Hence, option C is the correct answer.