Questions: Evaluate the following expressions for x=5 and b=9. 9. x(b-1) 10. 5b/x 11. (b+x^2)/2 12. b(2+x) 13. 7(0-x) 14. (10x+4)/b 15. b/3+x 16. (5x+b)/2

Transcript text: Evaluate the following expressions for $x=5$ and $b=9$. 9. $x(b-1)$ 10. $\frac{5 b}{x}$ 11. $\frac{b+x^{2}}{2}$ 12. $b(2+x)$ $\qquad$ $\qquad$ $\qquad$ $\qquad$ 13. $7(0-x)$ 14. $\frac{10 x+4}{b}$ 15. $\frac{b}{3}+x$ 16. $\frac{5 x+b}{2}$ $\qquad$ $\qquad$ $\qquad$ $\qquad$

Solution

Solution Steps

To evaluate the given expressions for $ x = 5 $ and $ b = 9 $, we will substitute these values into each expression and compute the result using Python.

Step 1: Evaluate $ x(b-1) $

To evaluate the expression $ x(b-1) $, substitute $ x = 5 $ and $ b = 9 $ into the expression:

\[ x(b-1) = 5(9-1) = 5 \times 8 = 40 \]

Step 2: Evaluate $\frac{5b}{x}$

To evaluate the expression $\frac{5b}{x}$, substitute $ x = 5 $ and $ b = 9 $ into the expression:

\[ \frac{5b}{x} = \frac{5 \times 9}{5} = \frac{45}{5} = 9.0 \]

Step 3: Evaluate $\frac{b+x^{2}}{2}$

To evaluate the expression $\frac{b+x^{2}}{2}$, substitute $ x = 5 $ and $ b = 9 $ into the expression:

\[ \frac{b+x^{2}}{2} = \frac{9 + 5^{2}}{2} = \frac{9 + 25}{2} = \frac{34}{2} = 17.0 \]