Final answer:
To categorize the given expression parts, 7 and - 2/5 are coefficients; 7h and - 2/5 h are terms; h (alone) and 6 are neither a term nor a coefficient. Options E and F are the correct answer.
Step-by-step explanation:
In this question, we are asked to categorize parts of the expression - 2/5 h + 7h + 6 into terms or coefficients, or as neither. Let's proceed with each component of the expression:
- a. 7: This is a coefficient. It's the number multiplying the variable h in the term 7h.
- b. 7h: This is a term. It represents the product of the coefficient 7 and the variable h.
- c. - 2/5: This is a coefficient. It's the number multiplying the variable h in the term -2/5 h.
- d. - 2/5 h: This is a term. It is the entire expression representing the product of -2/5 and h.
- e. h: This is neither a term nor a coefficient on its own. It is a variable that is part of terms 7h and -2/5 h.
- f. 6: This is neither a term nor a coefficient in relation to the variable h. It's a standalone constant term in the expression.
After evaluating each part of the expression, the correct categorizations are as follows: a. 7 and c. - 2/5 are coefficients; b. 7h and d. - 2/5 h are terms; and e. h and f. 6 are neither a term nor a coefficient.