Twangda027idn
Answered

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1. For each pattern rule, list the variable, the coefficient, and the constant.
a) [tex]3h + 5[/tex]
b) [tex]-2m - 4[/tex]
c) [tex]6 + q[/tex]
d) [tex]5n + 3[/tex]

Sagot :

GinnyAnsweridn
Certainly! Let's analyze each pattern rule and identify the variables, coefficients, and constants.

### Pattern a) [tex]\( 3h + 5 \)[/tex]

- Variable: [tex]\( h \)[/tex]
- Coefficient: [tex]\( 3 \)[/tex]
- Constant: [tex]\( 5 \)[/tex]

### Pattern b) [tex]\( -2m - 4 \)[/tex]

- Variable: [tex]\( m \)[/tex]
- Coefficient: [tex]\( -2 \)[/tex]
- Constant: [tex]\( -4 \)[/tex]

### Pattern c) [tex]\( 6 + q \)[/tex]

- Variable: [tex]\( q \)[/tex]
- Coefficient: The coefficient of [tex]\( q \)[/tex] is [tex]\( 1 \)[/tex] (since [tex]\( q \)[/tex] implicitly means [tex]\( 1q \)[/tex] if no coefficient is written).
- Constant: [tex]\( 6 \)[/tex]

### Pattern d) [tex]\( 5n + 3 \)[/tex]

- Variable: [tex]\( n \)[/tex]
- Coefficient: [tex]\( 5 \)[/tex]
- Constant: [tex]\( 3 \)[/tex]

To summarize:

- For [tex]\( 3h + 5 \)[/tex]:
- Variable: [tex]\( h \)[/tex]
- Coefficient: [tex]\( 3 \)[/tex]
- Constant: [tex]\( 5 \)[/tex]

- For [tex]\( -2m - 4 \)[/tex]:
- Variable: [tex]\( m \)[/tex]
- Coefficient: [tex]\( -2 \)[/tex]
- Constant: [tex]\( -4 \)[/tex]

- For [tex]\( 6 + q \)[/tex]:
- Variable: [tex]\( q \)[/tex]
- Coefficient: [tex]\( 1 \)[/tex]
- Constant: [tex]\( 6 \)[/tex]

- For [tex]\( 5n + 3 \)[/tex]:
- Variable: [tex]\( n \)[/tex]
- Coefficient: [tex]\( 5 \)[/tex]
- Constant: [tex]\( 3 \)[/tex]

This breakdown helps us to understand and identify the components of each algebraic expression.
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