Linear Programming and Absolute Value Practice

What is the solution to

 $\left|2x-1\right|\le17$  ?

•  $x\le-8\ or\ x\ge9$  

•  $\left[-8\ ,\ 9\ \right]$  

•  $\left(-\infty,-8\right)\cup\left(9,\infty\right)$  

• No Solution

What is the vertex of the graph?

• (0,-6)

• (-6,0)

• (4,1)

• (1,4)

What is true about the graph of

 $f\left(x\right)=-\frac{2}{3}\left|x-1\right|+4$  ?

• It opens down

• It's range is  $\left(-\infty,\ 4\right)$  

• It is a horizontal stretch of the graph of the parent function.

• It's domain is  $\left(-\infty,\infty\right)$  

Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26. What is the solution set of this problem?

• $\left(-\infty,\ -21\right)$

• $\left(-\infty,\ -21\right]$

• $\left(-21,\ \infty\right)$

• $\left(21,\ \infty\right)$

A deli is offering two specials. The roast beef special gives a profit of $2.30 per sandwich, and the turkey special gives a profit of $3.10 per sandwich. The roast beef special uses two slices of bread and three slices of cheese. The turkey special uses two slices of bread and four slices of cheese. The deli has 120 slices of bread and 160 slices of cheese available for the specials. The deli wants to maximize its profit selling specials. Let x represent the number of roast beef specials and y represent the number of turkey specials.

What are the constraints for the problem?

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