Answered

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Subtract the expressions:

[tex]\[ (5.62n - 2.8) - (4 + 14.3n) \][/tex]

A. [tex]\(-19.92n + (-1.2)\)[/tex]
B. [tex]\(8.42n - 18.3\)[/tex]
C. [tex]\(-8.68n - 6.8\)[/tex]
D. [tex]\(-86.80n - 0.8\)[/tex]

Sagot :

GinnyAnswer
Certainly! Let's carefully subtract the given expressions step-by-step to determine the correct result.

We have the expressions:
[tex]\[ (5.62n - 2.8) - (4 + 14.3n) \][/tex]

### Step 1: Distribute the minus sign
When we subtract an expression, we need to distribute the minus sign to each term in the second expression:
[tex]\[ 5.62n - 2.8 - 4 - 14.3n \][/tex]

### Step 2: Combine like terms
Now we combine the terms with [tex]\( n \)[/tex] and the constant terms separately.

#### Combining terms with [tex]\( n \)[/tex]:
[tex]\[ 5.62n - 14.3n = -8.68n \][/tex]

#### Combining constant terms:
[tex]\[ -2.8 - 4 = -6.8 \][/tex]

### Step 3: Write the final result
After combining the like terms, we have:
[tex]\[ -8.68n - 6.8 \][/tex]

Therefore, the subtraction of the given expressions yields:
[tex]\[ -8.68n - 6.8 \][/tex]

So, the correct choice from the given options is:
[tex]\[ \boxed{-8.68n - 6.8} \][/tex]
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