Problem 13
Question
Evaluate each algebraic expression for the given value or values of the variable(s). $$\frac{5(x+2)}{2 x-14}, \text { for } x=10$$
Step-by-Step Solution
Verified Answer
The value of the algebraic expression \(\frac{5(x+2)}{2 x-14}\) for \(x = 10\) is 10.
1Step 1: Substitution Step
First, substitute the given value of the variable in place of x in the expression. Here, \(x = 10\). So the expression becomes: \(\frac{5(10+2)}{2(10)-14} = \frac{5(12)}{20-14}\)
2Step 2: Simplification Step
Next, simplify the expression. This involves arithmetic operations within the numerator and the denominator. So, \(\frac{5(12)}{6} = \frac{60}{6}\)
3Step 3: Final Evaluation
Lastly, simplify the fraction by dividing the numerator by the denominator. This results in: \(60 / 6 = 10\)
Other exercises in this chapter
Problem 13
In Exercises 9–14, perform the indicated operations. Write the resulting polynomial in standard form and indicate its degree. $$ \left(5 x^{2}-7 x-8\right)+\lef
View solution Problem 13
Evaluate each exponential expression. $$ 2^{2} \cdot 2^{3} $$
View solution Problem 14
simplify each rational expression. Find all numbers that must be excluded from the domain of the simplified rational expression. $$ \frac{x^{2}-14 x+49}{x^{2}-4
View solution Problem 14
Factor by grouping. $$x^{3}+6 x^{2}-2 x-12$$
View solution