Mathematics
Mathematics, 27.07.2019 09:00, Jaymiegrimes22

Find the product of negative 5x squared and 2x minus 3

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Mathematics, 11.07.2019 02:30, 2021andrewkell
Question 1 solve for x using the quadratic formula: x2 − 6x + 9 = 0 x equals negative b plus or minus the square root of b squared minus 4 times a times c, all over 2 times a x = 6 x = 3 x = 1 x = 0 question 2 solve: 49x2 − 60 = 0 round your answer to the nearest hundredth. x = 0 x = −3.32 and x = 3.32 x = −1.11 and x = 1.11 x = −0.82 and x = 0.82 question 3 when the solution of x2 − 9x − 6 is expressed as 9 plus or minus the square root of r, all over 2, what is the value of r? x equals negative b plus or minus the square root of b squared minus 4 times a times c, all over 2 times a 6 42 57 105 question 4 identifying the values a, b, and c is the first step in using the quadratic formula to find solution(s) to a quadratic equation. what are the values a, b, and c in the following quadratic equation? −6x2 = −9x + 7 a = 9, b = 7, c = 6 a = −9, b = 7, c = −6 a = −6, b = 9, c = −7 a = −6, b = −9, c = 7 question 5 use the quadratic formula to find the exact solutions of x2 − 5x − 2 = 0. x equals negative b plus or minus the square root of b squared minus 4 times a times c, all over 2 times a x equals 5 plus or minus the square root of 33, all over 2 x equals negative 5 plus or minus the square root of 33, all over 2 x equals 5 plus or minus the square root of 17, all over 2 x equals negative 5 plus or minus the square root of 17, all over 2 question 6 a portion of the quadratic formula proof is shown. fill in the missing statement. statements reasons x squared plus b over a times x plus the quantity b over 2 times a squared equals negative 4 times a times c all over 4 times a squared plus b squared over 4 a squared find a common denominator on the right side of the equation x squared plus b over a times x plus the quantity b over 2 times a squared equals b squared minus 4 times a times c all over 4 times a squared add the fractions together on the right side of the equation the quantity x plus b over 2 times a squared equals b squared minus 4 times a times c all over 4 times a squared rewrite the perfect square trinomial on the left side of the equation as a binomial squared x plus b over 2 times a equals plus or minus the square root of b squared minus 4 times a times c, all over 4 times a squared take the square root of both sides of the equation x plus b over 2 times a equals plus or minus the square root of b squared minus 4 times a times c, all over 2 times a simplify the right side of the equation ? subtract the quantity b over 2 times a from both sides of the equation x equals b plus or minus the square root of b squared minus 4 times a times c, all over 2 times a x equals negative b plus or minus the square root of b squared minus 4 times a times c, all over a x equals negative b plus or minus the square root of b squared minus 4 times a times c, all over 2 times a x plus b over 2 times a equals negative b plus or minus the square root of b squared minus 4 times a times c, all over 2 times a question 7 the quadratic equation 3x2 + 45x + 24 = 0 was solved using the quadratic formula, x equals negative b plus or minus the square root of b squared minus 4 times a times c, all over 2 times a. one solution is −14.45. what is the other solution? round to the hundredths place. −1.11 −0.55 0.52 14.45 question 8 the quadratic formula, x equals negative b plus or minus the square root of b squared minus 4 times a times c, all over 2 times a, was used to solve the equation. 2x2 − 8x + 7 = 0. fill in the missing denominator of the solution. 4 plus or minus the square root of 2, all over blank −16 2 4 14 question 9 identifying the values a, b, and c is the first step in using the quadratic formula to find solution(s) to a quadratic equation. what are the values a, b, and c in the following quadratic equation? −6x2 − 8x + 12 a = −6, b = −8, c = 12 a = 6, b = 8, c = 12 a = 8, b = 12, c = 0 a = −8, b = 12, c = 0
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Mathematics, 19.10.2019 05:00, dondre54
8.08, part 2 11. find an equation in standard form for the hyperbola with vertices at (0, ±6) and foci at (0, ±9). a) y squared over 45 minus x squared over 36 = 1 b) y squared over 81 minus x squared over 36 = 1 c) y squared over 36 minus x squared over 81 = 1 d) y squared over 36 minus x squared over 45 = 1 12. find an equation in standard form for the hyperbola with vertices at (0, ±4) and asymptotes at y = ± 1 divided by 4. x. a) y squared over 16 minus x squared over 64 = 1 b) y squared over 16 minus x squared over 256 = 1 c) y squared over 256 minus x squared over 16 = 1 d) y squared over 64 minus x squared over 4 = 1 13. eliminate the parameter. x = t - 3, y = t2 + 5 a) y = x2 + 6x + 14 b) y = x2 - 14 c) y = x2 - 6x - 14 d) y = x2 + 14 14. find the rectangular coordinates of the point with the polar coordinates. ordered pair 3 comma 2 pi divided by 3 a) ordered pair negative 3 divided by 2 comma 3 square root 3 divided by 2 b) ordered pair 3 square root 3 divided by 2 comma negative 3 divided by 2 c) ordered pair negative 3 divided by 2 comma 3 divided by 2 d) ordered pair 3 divided by 2 comma negative 3 divided by 2 15. find all polar coordinates of point p where p = negative pi divided by 6 . a) (1, negative pi divided by 6 + (2n + 1)π) or (-1, negative pi divided by 6 + 2nπ) b) (1, negative pi divided by 6 + 2nπ) or (-1, negative pi divided by 6 + 2nπ) c) (1, negative pi divided by 6 + 2nπ) or (1, pi divided by 6 + (2n + 1)π) d) (1, negative pi divided by 6 + 2nπ) or (-1, negative pi divided by 6 + (2n + 1)π) 16. determine two pairs of polar coordinates for the point (4, 4) with 0° ≤ θ < 360°. a) (4 square root 2 , 135°), (-4 square root 2 , 315°) b) (4 square root 2 , 45°), (-4 square root 2 , 225°) c) (4 square root 2 , 315°), (-4 square root 2 , 135°) d) (4 square root 2 , 225°), (-4 square root 2 , 45°) 17. the graph of a limacon curve is given. without using your graphing calculator, determine which equation is correct for the graph. a circular graph with an inner loop on the left [-5, 5] by [-5, 5] (5 points) a) r = 3 + 2 cos θ b) r = 2 + 3 cos θ c) r = 2 + 2 cos θ d) r = 4 + cos θ 18. determine if the graph is symmetric about the x-axis, the y-axis, or the origin. r = -2 + 3 cos θ a) no symmetry b) y-axis only c) x-axis only d) origin only 19. a railroad tunnel is shaped like a semiellipse, as shown below. a semiellipse is shown on the coordinate plane with vertices on the x axis and one point of intersection with the positive y axis. the height of the tunnel at the center is 54 ft, and the vertical clearance must be 18 ft at a point 8 ft from the center. find an equation for the ellipse. 20. determine if the graph is symmetric about the x-axis, the y-axis, or the origin. r = 2 cos 3θ
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