Problem 1SP: Solve the equation by using the quadratic formula. 6 x 2 − 5 x = 4 Problem 2SP: Solve the equation by using the quadratic formula. − y ( y + 4 ) = 12 Problem 3SP: Steve and Tammy leave a campground, hiking on two different trails. Steve heads south and Tammy... Problem 4SP: A rocket is launched the top of a 96 -ft building with an initial velocity of 64 ft/sec. The height... Problem 5SP Problem 6SP: Use the discriminant to determine the type and number of solutions for the equation. 4 t 2 = 6 t − 2 Problem 7SP: Use the discriminant to determine the type and number of solutions for the equation. 3 t ( t + 1 ) =... Problem 8SP: Use the discriminant to determine the type and number of solutions for the equation. 2 3 x 2 − 2 3 x... Problem 9SP: Given f ( x ) = x 2 + 5 x + 2 , Find the discriminant and use it to determine if there are any x... Problem 10SP: Given f ( x ) = x 2 + 5 x + 2 , Find the x -and y -intercepts. Problem 11SP: Given f ( x ) = 2 x 2 − 3 x + 5 , Find the discriminant and use it to determine if there are any x... Problem 12SP: Given f ( x ) = 2 x 2 − 3 x + 5 , Find the y -intercept. Problem 13SP: Solve using any method. 2 t ( t − 1 ) + t 2 = 5 Problem 14SP: Solve using any method. x 2 − 4 x = − 7 Problem 15SP: Solve using any method. 1 5 x 2 − 4 5 x + 1 2 = 0 Problem 16SP: Solve using any method. 4 y 2 − 13 = 0 Problem 1PE: a. For the equation a x 2 + b x + c = 0 ( a ≠ 0 ) , the formula gives the solutions as x =... Problem 2PE: Use substitution to determine if x = − 3 + 5 is a solution to x 2 + 6 x + 4 = 0 . Problem 3PE: For Exercises 3–6, simplify the expression. 16 − 320 4 Problem 4PE: For Exercises 3–6, simplify the expression. 18 + 180 3 Problem 5PE: For Exercises 3–6, simplify the expression.
5.
Problem 6PE: For Exercises 3–6, simplify the expression. 10 − − 175 5 Problem 7PE: For Exercises 7-8, determine whether the equation is linear or quadratic. 2 ( x − 5 ) + x 2 = 3 x (... Problem 8PE: For Exercises 7-8, determine whether the equation is linear or quadratic. 5 x ( x + 3 ) − 9 = 4 x 2... Problem 9PE: For Exercises 9–34, solve the equation by using the quadratic formula. Write imaginary solutions in... Problem 10PE Problem 11PE: For Exercises 9–34, solve the equation by using the quadratic formula. Write imaginary solutions in... Problem 12PE: For Exercises 9–34, solve the equation by using the quadratic formula. Write imaginary solutions in... Problem 13PE: For Exercises 9–34, solve the equation by using the quadratic formula. Write imaginary solutions in... Problem 14PE: For Exercises 9–34, solve the equation by using the quadratic formula. Write imaginary solutions in... Problem 15PE: For Exercises 9–34, solve the equation by using the quadratic formula. Write imaginary solutions in... Problem 16PE: For Exercises 9–34, solve the equation by using the quadratic formula. Write imaginary solutions in... Problem 17PE: For Exercises 9–34, solve the equation by using the quadratic formula. Write imaginary solutions in... Problem 18PE: For Exercises 9–34, solve the equation by using the quadratic formula. Write imaginary solutions in... Problem 19PE Problem 20PE: For Exercises 9–34, solve the equation by using the quadratic formula. Write imaginary solutions in... Problem 21PE: For Exercises 9–34, solve the equation by using the quadratic formula. Write imaginary solutions in... Problem 22PE: For Exercises 9–34, solve the equation by using the quadratic formula. Write imaginary solutions in... Problem 23PE: For Exercises 9–34, solve the equation by using the quadratic formula. Write imaginary solutions in... Problem 24PE: For Exercises 9–34, solve the equation by using the quadratic formula. Write imaginary solutions in... Problem 25PE: For Exercises 9–34, solve the equation by using the quadratic formula. Write imaginary solutions in... Problem 26PE: For Exercises 9–34, solve the equation by using the quadratic formula. Write imaginary solutions in... Problem 27PE: For Exercises 9–34, solve the equation by using the quadratic formula. Write imaginary solutions in... Problem 28PE Problem 29PE: For Exercises 9–34, solve the equation by using the quadratic formula. Write imaginary solutions in... Problem 30PE Problem 31PE: For Exercises 9–34, solve the equation by using the quadratic formula. Write imaginary solutions in... Problem 32PE: For Exercises 9–34, solve the equation by using the quadratic formula. Write imaginary solutions in... Problem 33PE: For Exercises 9–34, solve the equation by using the quadratic formula. Write imaginary solutions in... Problem 34PE Problem 35PE: For Exercises 35–38, factor the expression. Then use the zero product rule and the quadratic formula... Problem 36PE: For Exercises 35–38, factor the expression. Then use the zero product rule and the quadratic formula... Problem 37PE: For Exercises 35–38, factor the expression. Then use the zero product rule and the quadratic formula... Problem 38PE: For Exercises 35–38, factor the expression. Then use the zero product rule and the quadratic formula... Problem 39PE: The volume of a cube is 27 ft 3 . Find the lengths of the sides. Problem 40PE: The volume of a rectangular box is 64 ft 3 . If the width is 3 times longer than the height, and the... Problem 41PE: The hypotenuse of a right triangle measures 4 in. One leg of the triangle is 2 in. longer than the... Problem 42PE: The length of one leg of a right triangle is 1 cm more than twice the length of the other leg. The... Problem 43PE: The hypotenuse of a right triangle is 10.2 m long. One leg is 2.1 m shorter than the other leg. Find... Problem 44PE: The hypotenuse of a right triangle is 17 ft long. One leg is 3.4 ft longer than the other leg. Find... Problem 45PE: The fatality rate (in fatalities per 100 million vehicle miles driven) can be approximated for... Problem 46PE: The braking distance (in feet) of a car going v mph is given by d ( v ) = v 2 20 + v v ≥... Problem 47PE: Mitch throws a baseball straight up in the air from a cliff that is 48 ft high. The initial velocity... Problem 48PE: An astronaut on the moon throws a rock into the air from the deck of a spacecraft that is 8 m high.... Problem 49PE: For Exercises 49–56, a.Write the equation in the form a x 2 + b x + c = 0 , a > 0 . b.Find the... Problem 50PE: For Exercises 49–56, a.Write the equation in the form a x 2 + b x + c = 0 , a > 0 . b.Find the... Problem 51PE: For Exercises 49–56,
a. Write the equation in the form .
b. Find the value of the discriminant.... Problem 52PE: For Exercises 49–56, a.Write the equation in the form a x 2 + b x + c = 0 , a > 0 . b.Find the... Problem 53PE: For Exercises 49–56, a.Write the equation in the form a x 2 + b x + c = 0 , a > 0 . b.Find the... Problem 54PE: For Exercises 49–56,
a. Write the equation in the form .
b. Find the value of the discriminant.... Problem 55PE: For Exercises 49–56, a.Write the equation in the form a x 2 + b x + c = 0 , a > 0 . b.Find the... Problem 56PE: For Exercises 49–56, a.Write the equation in the form a x 2 + b x + c = 0 , a > 0 . b.Find the... Problem 57PE: For Exercises 57–62, determine the discriminant. Then use the discriminant to determine the number... Problem 58PE: For Exercises 57–62, determine the discriminant. Then use the discriminant to determine the number... Problem 59PE: For Exercises 57–62, determine the discriminant. Then use the discriminant to determine the number... Problem 60PE: For Exercises 57–62, determine the discriminant. Then use the discriminant to determine the number... Problem 61PE: For Exercises 57–62, determine the discriminant. Then use the discriminant to determine the number... Problem 62PE: For Exercises 57–62, determine the discriminant. Then use the discriminant to determine the number... Problem 63PE: For Exercises 63–68, find the x- and y-intercepts of the quadratic function. (See Examples 6–7). f (... Problem 64PE: For Exercises 63–68, find the x- and y-intercepts of the quadratic function. (See Examples 6–7). g (... Problem 65PE: For Exercises 63–68, find the x- and y-intercepts of the quadratic function. (See Examples... Problem 66PE: For Exercises 63–68, find the x- and y-intercepts of the quadratic function. (See Examples 6–7). f (... Problem 67PE: For Exercises 63–68, find the x- and y-intercepts of the quadratic function. (See Examples 6–7). p (... Problem 68PE: For Exercises 63–68, find the x- and y-intercepts of the quadratic function. (See Examples... Problem 69PE: For Exercises 69–86, solve the quadratic equation by using any method. Write imaginary solutions in... Problem 70PE: For Exercises 69–86, solve the quadratic equation by using any method. Write imaginary solutions in... Problem 71PE: For Exercises 69–86, solve the quadratic equation by using any method. Write imaginary solutions in... Problem 72PE: For Exercises 69–86, solve the quadratic equation by using any method. Write imaginary solutions in... Problem 73PE: For Exercises 69–86, solve the quadratic equation by using any method. Write imaginary solutions in... Problem 74PE: For Exercises 69–86, solve the quadratic equation by using any method. Write imaginary solutions in... Problem 75PE: For Exercises 69–86, solve the quadratic equation by using any method. Write imaginary solutions in... Problem 76PE: For Exercises 69–86, solve the quadratic equation by using any method. Write imaginary solutions in... Problem 77PE: For Exercises 69–86, solve the quadratic equation by using any method. Write imaginary solutions in... Problem 78PE: For Exercises 69–86, solve the quadratic equation by using any method. Write imaginary solutions in... Problem 79PE: For Exercises 69–86, solve the quadratic equation by using any method. Write imaginary solutions in... Problem 80PE: For Exercises 69–86, solve the quadratic equation by using any method. Write imaginary solutions in... Problem 81PE: For Exercises 69–86, solve the quadratic equation by using any method. Write imaginary solutions in... Problem 82PE: For Exercises 69–86, solve the quadratic equation by using any method. Write imaginary solutions in... Problem 83PE Problem 84PE: For Exercises 69–86, solve the quadratic equation by using any method. Write imaginary solutions in... Problem 85PE: For Exercises 69–86, solve the quadratic equation by using any method. Write imaginary solutions in... Problem 86PE: For Exercises 69–86, solve the quadratic equation by using any method. Write imaginary solutions in... Problem 87PE: Sometimes students shy away from completing the square and using the square root property to solve a... Problem 88PE: Sometimes students shy away from completing the square and using the square root property to solve a... Problem 89PE: 89. Graph . Compare the x-intercepts with the solutions to the equation found in Exercise 35.
Problem 90PE: Graph Y 1 = 64 x 3 + 1 . Compare the x-intercepts with the solutions to the equation 64 x 3 + 1 = 0... Problem 91PE: Graph Y 1 = 3 x 3 − 6 x 2 + 6 x . Compare the x-intercepts with the solutions to the equation 3 x 3... Problem 92PE: 92. Graph . Compare the x-intercepts with the solutions to the equation found in Exercise 38.
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