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mariarad [96]
2 years ago
12

Lily needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 3

. 5 hours and charged her $159 for parts. The total was $456. 50. Write and solve an equation which can be used to determine xx, the cost of the labor per hour.
SAT
1 answer:
Oxana [17]2 years ago
3 0
Answer
x = 59.5
Explanation
Based on the given conditions, formulate:
Rearrange unknown terms to the left side of the equation:
Calculate the sum or difference:
Divide both sides of the equation by the coefficient of variable:
Calculate the product or quotient x = :59.5
Answer x = 59.5
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Factor the expression into an equivalent form 12y^2-75.
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Hello oddworld7836!

\huge \boxed{\mathbb{QUESTION} \downarrow}

Factor the expression into an equivalent form 12y² - 75.

\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}

12 y ^ { 2 } - 75

By observing the expression, we can see that, 3 is the only common factor in both the terms of the expression. So, take the common factor 3 out.

12 y ^ { 2 } - 75 \\  = 3\left(4y^{2}-25\right)

Now, look at (4y² - 25). They don't have any common factors but they appear in the form of the algebraic identity ⇨ a² - b² = (a + b) (a - b). Here,

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So, the (4y² + 25) becomes...

(4 {y}^{2}  - 25) \\  = \left(2y-5\right)\left(2y+5\right)

Now, bring the 3 (common factor) & rewrite the complete expression.

12 y ^ { 2 } - 75 \\  =  \boxed{ \boxed{ \bf \: 3\left(2y-5\right)\left(2y+5\right) }}

We can't further simplify it. Also, remember that the simplified form of an expression is equivalent to the expression. So, 3 (2y - 5) (2y + 5) is equivalent to 12y² - 75.

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Hope it'll help you!

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