Final answer:
When evaluating the expression 14 + 3p^2 - 5c with p = 5 and c = 10, the result is 39.
Step-by-step explanation:
To evaluate the expression 14 + 3p^2 - 5c for p = 5 and c = 10, we need to substitute the values of p and c into the expression:
First, calculate the term 3p^2 using p = 5:
3 × (5)^2 = 3 × 25 = 75
Next, calculate the term -5c using c = 10:
-5 × 10 = -50
Now, substitute these values into the expression and combine them with the constant 14:
14 + 75 - 50
Finally, add and subtract the numbers to find the result:
14 + 75 = 89
89 - 50 = 39
Therefore, the value of the expression when p = 5 and c = 10 is 39.