Problem 6
Question
Evaluate each algebraic expression for the given value or values of the variable(s). $$x^{2}+5 x, \text { for } x=6$$
Step-by-Step Solution
Verified Answer
The evaluated algebraic expression when \(x = 6\) in \(x^{2}+5 x\) is 66
1Step 1: Understand the Exercise
The given expression is \(x^{2}+5 x\) and the value of \(x\) has been given as 6. The task is to substitute 6 in place of \(x\) in the algebraic expression and simplify it.
2Step 2: Substitute the Value in the Expression
Replace \(x\) with 6 in the given expression. This leads to an expression \(6^{2}+5(6)\).
3Step 3: Simplify the Expression
Begin by squaring 6 in the term \(6^{2}\), which results in 36. Then multiply 5 and 6 in the term \(5(6)\), which gives 30. Adding these together, \(36 + 30\) equals 66.
Other exercises in this chapter
Problem 5
In Exercises 5–8, find the degree of the polynomial. $$3 x^{2}-5 x+4$$
View solution Problem 5
Evaluate each expression in Exercises \(1-12,\) or indicate that the root is not a real number. $$\sqrt{-36}$$
View solution Problem 6
Evaluate each exponential expression. $$-2^{4}$$
View solution Problem 6
Find all numbers that must be excluded from the domain of each rational expression. $$\frac{x-3}{x^{2}+4 x-45}$$
View solution