Which function in vertex form is equivalent to f(x) = x2 + 8 – 16x? f(x) = (x – 8)2 – 56 f(x) = (x – 4)2 + 0 f(x) = (x + 8)2 – 72 f(x) = (x + 4)2 – 32

Find the number of real number solutions for the equation. x2 + 5x + 7 = 0 0 cannot be determined 1 2

White shapes and black shapes are used in a game. some of the shapes are circles. while the rest are squares. the ratio of the number of white shapes to the number of black shapes is 5: 11. the ratio of the number of white cicrles to the number of white squares is 3: 7. the ratio of the number of black circles to the number of black squres is 3: 8. work out what fraction of all the shapes are circles.

In which quadrant does the point lie? write the coordinates of the point. a. quadrant ii; (–2, –4) b. quadrant iii; (2, 4) c. quadrant iii; (–2, –4) d. quadrant iv; (–4, –2)