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

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

Solution

Solution Approach

For the first part, simplify the given algebraic expressions.
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: \[ (-3) \cdot (-10) = 30 \] \[ 30 + (-6) = 24 \]

\[ \boxed{24} \]

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