Problem 14
Question
Evaluate each algebraic expression for the given value or values of the variable(s). $$\frac{7(x-3)}{2 x-16}, \text { for } x=9$$
Step-by-Step Solution
Verified Answer
The result of evaluating the expression \(\frac{7(x-3)}{2x-16}\) for \(x=9\) is 21.
1Step 1: Substitute the Value
Replace \(x\) in the given expression \(\frac{7(x-3)}{2x-16}\) with the value \(9\). The expression then becomes \(\frac{7(9-3)}{2(9)-16}\).
2Step 2: Simplify the Expression
Simplify the numerator and the denominator separately. The expression will then be \(\frac{7*6}{18-16} = \frac{42}{2}\).
3Step 3: Compute the Final Value
Compute the division \(\frac{42}{2}\) to get the final result.
4Step 4: Result
The final result after computing the division is 21.
Other exercises in this chapter
Problem 13
$$\text { Factor by grouping.}$$ $$x^{3}-x^{2}+2 x-2$$
View solution Problem 13
Perform the indicated operations. Write the resulting polynomial in standard form and indicate its degree. $$\left(5 x^{2}-7 x-8\right)+\left(2 x^{2}-3 x+7\righ
View solution Problem 14
Evaluate each exponential expression. $$3^{3} \cdot 3^{2}$$
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Simplify each rational expression. Find all numbers that must be excluded from the domain of the simplified rational expression. $$\frac{x^{2}-14 x+49}{x^{2}-49
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