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 evaluated expression \(\frac{5(x+2)}{2x-14}\) for \(x=10\) is 10
1Step 1: Substitute the given value into the expression
Substitute \(x = 10\) into the expression \(\frac{5(x+2)}{2x-14}\). This gives us: \(\frac{5(10+2)}{2*10-14}\)
2Step 2: Simplify Numerator and Denominator
Now simplify the expression in the numerator as well as the denominator to get: \(\frac{60}{6}\)
3Step 3: Simplify the fraction
We can simplify the fraction \(\frac{60}{6}\) to get the final answer. This is done by dividing the numerator by the denominator. Therefore, the fraction simplifies to: 10
Other exercises in this chapter
Problem 12
Perform the indicated operations. Write the resulting polynomial in standard form and indicate its degree. $$\left(18 x^{4}-2 x^{3}-7 x+8\right)-\left(9 x^{4}-6
View solution Problem 12
Evaluate each expression in Exercises \(1-12,\) or indicate that the root is not a real number. $$\sqrt{(-17)^{2}}$$
View solution Problem 13
Evaluate each exponential expression. $$2^{2} \cdot 2^{3}$$
View solution Problem 13
Simplify each rational expression. Find all numbers that must be excluded from the domain of the simplified rational expression. $$\frac{x^{2}+12 x+36}{x^{2}-36
View solution