A2 - 4/12/21

Rewrite in vertex form
y=x²+6x+3

• y=(x+3)²-12
• y=(x+3)²+6
• y=(x+3)²-6
• y=(x+3)²+12

At the TX Design Company, the p.21 average starting salary for a new designer is $33,600, but the actual salary could differ from the average by as much as $1,560. Which inequality could be used to determine if a salary, x, falls within this range?

• |x ­- 1560| ≤ 33600

• x ­- 33600 ≤ 1560

• |x ­- 33600| ≥ 1560

• |x -­ 33600| ≤ 1560

Rachel owns a car and a moped. She has at most 12 gallons of gas to be used between the car and the moped. The car's tank holds at most 10 gallons and the moped's 3 gallons. The mileage for the car is 20 mpg and for the moped is 100 mpg.

What are the constraints?

• x≤10, y≤3, x+y≤12

• $x\ge0,\ \ y\ge0,\ x\le10,\ y\le3,\ x+y\le12$

• x≥0, y≥0, 10x+3y≤12

• x≤10, y≤3, 10x+3y≤12, x≥0, y≥0

What is the solution to 7(8 - 2x) + 1 = -9 -9(x + 6)

• -13

• 24

• 8

• 7

Which graph correctly shows the system

 $y=-\frac{1}{4}x\ -\ 1$  

 $y=-\frac{5}{4}x+3$  

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