1. Write an equation that describes the information in the table: X Y -4 12 -2...

    

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1. Write an equation that describes the information in the table: X Y -4 12 -2 3.5 2 -13.5 5 -26.25 2. Write an equation for the line in the graph below. Label the points on the graph that you used to create the equation. 5 -5 0 5 -5 -10 3. An engineer is designing a chemical storage tank in the shape of a cylinder. The volume of the tank is to be 60 cubic meters and the radius is to be 2 meters. Find the height. (V=rh) 4. A rectangular garden plot has a perimeter of 360 feet and an area of 7524 square feet. What is the length and width of the garden plot? 5. An architect is designing a rectangular platform for an auditorium. The client wants the length of the platform to be at least twice the width and the perimeter much not exceed 200 feet. a. Write a system of inequalities that describes the specifications for the platform. b. Solve the system by graphing. 6. Find a possible formula for the quadratic function that has vertex at (-2,8) and y- intercept at -7. 7. Find a possible formula for the quadratic function in the graph below: 10 10 -5- -5 0 5 -5 9. Solve: -2x+12x+5=2x+9 10. Given: f(x)=3x-12 and g(x) = x-4x+8 a. Find f(g(x)) b. Find g(f(x)) 11 11.Solve: 12. Solve: 2x-4=9 13. In the Black Friday Ad for the store Best Buy, you could get 3 Samsung Galaxy S20 phones and 2 Apple 12 i- phones for $4999.80. Or you could get 2 Samsung Galaxy S20 phones and 4 Apple 12 i- phones for $5600.40. What is the cost of one Samsung Galaxy S20 phone? What is the cost of one Apple 12 i- phone? 4x 14. Find the inverse of the function: h(x) = 5x+4 15. Simplify: a) (2ab+b) (3a+6) 2b2+6b, b) 1 25 x 1 # 1 1 x 5 1. Write an equation that describes the information in the table: X Y -4 12 -2 3.5 2 -13.5 5 -26.25 2. Write an equation for the line in the graph below. Label the points on the graph that you used to create the equation. 5 -5 0 5 -5 -10 3. An engineer is designing a chemical storage tank in the shape of a cylinder. The volume of the tank is to be 60 cubic meters and the radius is to be 2 meters. Find the height. (V=rh) 4. A rectangular garden plot has a perimeter of 360 feet and an area of 7524 square feet. What is the length and width of the garden plot? 5. An architect is designing a rectangular platform for an auditorium. The client wants the length of the platform to be at least twice the width and the perimeter much not exceed 200 feet. a. Write a system of inequalities that describes the specifications for the platform. b. Solve the system by graphing. 6. Find a possible formula for the quadratic function that has vertex at (-2,8) and y- intercept at -7. 7. Find a possible formula for the quadratic function in the graph below: 10 10 -5- -5 0 5 -5 9. Solve: -2x+12x+5=2x+9 10. Given: f(x)=3x-12 and g(x) = x-4x+8 a. Find f(g(x)) b. Find g(f(x)) 11 11.Solve: 12. Solve: 2x-4=9 13. In the Black Friday Ad for the store Best Buy, you could get 3 Samsung Galaxy S20 phones and 2 Apple 12 i- phones for $4999.80. Or you could get 2 Samsung Galaxy S20 phones and 4 Apple 12 i- phones for $5600.40. What is the cost of one Samsung Galaxy S20 phone? What is the cost of one Apple 12 i- phone? 4x 14. Find the inverse of the function: h(x) = 5x+4 15. Simplify: a) (2ab+b) (3a+6) 2b2+6b, b) 1 25 x 1 # 1 1 x 5