Algebra Formula Sheet
Algebra Homework Help?
These are some questions I’ve been struggling with:
(a) Use the quadratic formula to determine the roots of the equation: x2 – 5x + 6 = 0.
(b) Determine the vertex of the parabola y = x2 – 5x + 6.
(c) Use parts a and b to sketch the graph of y = x2 – 5x + 6.
(d) How high will a baseball that is thrown up into the air at 48 feet per second go if it starts its flight at a height 6 feet above the ground? (Hint this is another application of the quadratic, recall the x value of the vertex is given by x = -b/2a)
(e) Simplify. i15
(f) Find all real numbers x and y that satisfy the equation: 2x – 1 + 2yi = 4x – 5i
(g) Use the quadratic formula to determine the roots of the equation x2 – 5x + 6 = 0 to the nearest tenth.
(h) A rain gutter is to be made up of rectangular aluminum sheets 12 inches wide by turning up the sides edges 90 degrees. What depth (of the edges) will provide a maximum cross sectional area and thereby provide for the greatest flow of water?
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1)(x-3)(x-2)=0
x=3,2
2)(y’=2x-5
x=5/2,y=-1/4
3)v^2=vo^2-64x
0=48^2-64x
x=36
height=36+6=42
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