Exam 11: Quadratic Equations and Functions

Solve the problem. Give the answer to the nearest tenth. -The position of an object moving in a straight line is given by $\mathrm { s } = \mathrm { t } ^ { 2 } - 8 \mathrm { t }$ , where $\mathrm { s }$ is in feet and $\mathrm { t }$ is the time in seconds the object has been in motion. How long (to the nearest tenth) will it take the object to move 19 feet?

Solve. Round results to the nearest thousandth. - $4 z ^ { 2 } - 6 z = 1$

Solve by completing the square. - $y ^ { 2 } = - 5 y + 5$

Solve. -Two cars leave an intersection. One car travels north; the other east. When the car traveling north had gone 15 mi, the distance between the cars was 5 mi more than the distance traveled by the car heading east. How far had The eastbound car traveled?

Solve. Give exact solutions. - $y ^ { 2 } = 21$

Solve. Give exact solutions. - $x ^ { 2 } + 10 x + 25 = 28$

Solve. Round results to the nearest thousandth. - $x ^ { 2 } + 10 x - 19 = 0$

Determine the nature of the solutions of the equation. - $t ^ { 2 } - 4 t + 4 = 0$

Solve. - $7 x ^ { 2 } = - 9 x - 3$

Solve. Give exact solutions. - $- 5 \mathrm { k } ^ { 2 } - 13 = - 58$

Solve by completing the square. - $x ^ { 2 } = 3 - 8 x$

Solve. Give exact solutions. - $3 z ^ { 2 } + 432 = 0$

Solve. - $4 x ^ { 2 } = - 14 x - 9$

Solve. Round results to the nearest thousandth. - $x ^ { 2 } + 6 x = 2$

Solve. Round results to the nearest thousandth. - $10 x ^ { 2 } - 3 x - 15 = 0$

Solve. - $3 = - \frac { 9 } { x } - \frac { 3 } { x ^ { 2 } }$

Solve. Give exact solutions. - $x ^ { 2 } + 12 x + 36 = 17$

Solve the equation by completing the square. - $x ^ { 2 } + x + 9 = 0$

Determine the nature of the solutions of the equation. - $v ^ { 2 } - 4 v - 2 = 0$

Solve. Give exact solutions. - $( x + 6 ) ^ { 2 } = 20$