Questions: Evaluate the expression for b=-3, c=-6, and d=-10. bd+c=

Evaluate the expression for b=-3, c=-6, and d=-10. bd+c=
Transcript text: Evaluate the expression for $b=-3, c=-6$, and $d=-10$. \[ b d+c= \]
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Solution

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Solution Steps

Solution Approach
  1. For the first part, simplify the given algebraic expressions.
  2. For the second part, substitute the given values of \( b \), \( c \), and \( d \) into the expression \( b \cdot d + c \) and evaluate it.
Step 1: Simplify the Algebraic Expressions

Given the expressions: \[ 6f - 8f - 5 - 7 \] \[ 6f(8) = -2 \] \[ -5 - 7 = -12 \] \[ -2f - 12 \]

Step 2: Evaluate the Expression for Given Values

Substitute \( b = -3 \), \( c = -6 \), and \( d = -10 \) into the expression \( b \cdot d + c \): \[ b \cdot d + c = (-3) \cdot (-10) + (-6) \]

Step 3: Perform the Calculation

Calculate the product and sum: \[ (-3) \cdot (-10) = 30 \] \[ 30 + (-6) = 24 \]

Final Answer

\[ \boxed{24} \]

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