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5-Minute Check Lesson 4-2. 4. If y varies inversely as x and y=3 when x=4, find y when x=15. Answer: 4/5. If y varies jointly as x and z and inversely as the square of w, and y=3 when x=3, z=10 and w=2, find y when x=4, z=20 and w=4. Answer: 2. 4-2 Warm Up #2.
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5-Minute Check Lesson 4-2 4. If y varies inversely as x and y=3 when x=4, find y when x=15. Answer: 4/5 • If y varies jointly as x and z and inversely as the square of w, and y=3 when x=3, z=10 and w=2, find y when x=4, z=20 and w=4. Answer: 2
4-2 Warm Up #2 Yes ; 0 = (-1)(-1) + 2(-1) + 1 The x-intercepts of the graph. X= -5/3 2; there are two x-intercepts in the graph x = -1.19 & x = 4.19 Is x = -1 a root of What does the root represent graphically in question #1? What is the root of How many roots does have? What are the roots of
4.2 - Quadratics Solving quadratics and using discriminants
Quadratic Equations - form The discriminant can tell us how many roots/zeros a quadratic equation has . Calculated:
Solving for roots/zeros of quadratics METHODS OF SOLVING QUADRATICS: • Factoring • Quadratic Formula • Graphing (finding x-intercepts) • Completing the square To solve , there are 4 methods:
Solve the following by all 4 methods but first determine the # of solutions using the discriminant.
Factoring Quadratic Formula Graphing (finding x-intercepts) Completing the square
Finding Zeros of Quadratics Quadratic Equations - form You can solve a quadratic equation to determine the time it takes to drop a bean bag from an airplane!!
Solve each of the following by any method but first determine the # of solutions using the discriminant. a.) b.)
Homework Pg 218 #1, 12-26E, 35, 38