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Evaluate the expression. y^{2}-y \text { when } y=-2

Short Answer

Expert verified
The value of the expression \(y^{2}-y\) when \(y=-2\) is 6.

Step by step solution

01

Substitute the value of y into the expression

Replace \(y\) in the expression \(y^{2}-y\) with -2. After this substitution, our expression would look like: \((-2)^{2} - (-2)\).
02

Apply the order of operations

We must follow the order of operations, which says we should calculate the exponent before doing subtraction. When we square -2, we get 4, and -(-2) gives us 2. So, the expression becomes: \(4 + 2\).
03

Perform the addition

Now we perform the addition operation to find the final answer: \(4 + 2 = 6\).

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Most popular questions from this chapter

MULTI-STEP PROBLEM You are on a team that is building a roller coaster. The vertical height of the first hill of the roller coaster is supposed to be 220 feet. According to the design, the path of the first hill can be modeled by \(y=0.039 x^{2}-0.331 x+1.850,\) where \(y\) is the vertical height in feet and \(x\) is the horizontal distance in feet. The first hill can use only 75 feet of horizontal distance. a. Use the model to determine whether the first hill will reach a height of 220 feet. b. What minimum horizontal distance is needed for the first hill to reach a vertical height of 220 feet? c. Writing Can you build the first hill high enough? Explain your findings. d. CRITICAL THINKING Is the shape of the graph the same as the shape of the hill? Why or why not?

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