Jan'ai was asked to determine the minimum for a function with zeros located at -1 and 5, which also has a y-intercept of (0, -25). Her work is shown.Which best describes the first error in Jan'ai's work?A. She incorrectly determined the factors for the beginning function.B. She incorrectly determined the a value.C. She incorrectly transformed the equation to standard form.D. She incorrectly determined the x-coordinate of the vertex.Eighty members of a bike club were asked whether they like touring bikes and whether they like mountain bikes. A total of 70 like touring bikes, 47 like mountain bikes, and 5 do not like either.What are the correct values of a, b, c, d, and e?A. a = 42, b = 28, c = 33, d = 5, e = 10B. a = 42, b = 5, c = 28, d = 33, e = 10C. a = 5, b = 42, c = 28, d = 10, e = 33D. a = 5, b = 10, c = 28, d = 33, e = 42Which function has a vertex on the y-axis?A. f(x) = (x - 2)2B. f(x) = x(x + 2)C. f(x) = (x - 2)(x + 2)D. f(x) = (x + 1)(x - 2)A rectangle's length is 5 inches more than twice its width. Its area is 50 square inches. Which equation can be used to find its width, w?A. 2w(2w + 5) = 50B. 2w(w + 5) = 50C. w(2w + 5) = 50D. w(w + 5) = 50Given the function f(x) = −2x2 + 4x − 7, find f(−4).A. −55B. −7C. 9D. 25The table shows the probabilities of certain prizes in a restaurant's contest where the first 100 customers are winners.How does the $100 gift card affect the measure of center of the data?A. It increases the mean value of the prizes.B. It decreases the mean value of the prizes.C. It increases the median value of the prizes.D. It decreases the median value of the prizes.The image shows a geometric representation of the function f(x) = x2 + 2x + 3 written in standard form.What is this function written in vertex form?A. f(x) = (x + 2)2 + 3B. f(x) = (x2 + 2x)2 + 3C. f(x) = (x + 1)2 + 2D. f(x) = (x + 3)2 + 2xConsider the quadratic function f(x) = x2 - 5x + 12. Which statements are true about the function and its graph? Select three options.A. The value of f(-10) = 82B. The graph of the function is a parabola.C. The graph of the function opens down.D. The graph contains the point (20, -8).E. The graph contains the point (0, 0).Consider the quadratic function f(x) = x2 - 8x - 4. What is the value of the leading coefficient?A. -8B. -4C. 0D. 1The function f(x) = x2 is translated 7 units to the left and 3 units down to form the function g(x). Which represents g(x)?A. g(x) = (x − 7)2 − 3B. g(x) = (x + 7)2 − 3C. g(x) = (x − 3)2 − 7D. g(x) = (x − 3)2 + 7Giselle graphs the function f(x) = x2. Robin graphs the function g(x) = -x2. How does Robin's graph relate to Giselle's?A. Robin's graph is a reflection of Giselle's graph over the x-axis.B. Robin's graph is a reflection of Giselle's graph over the y-axis.C. Robin's graph is a translation of Giselle's graph 1 unit down.D. Robin's graph is a translation of Giselle's graph 1 unit left.An architect designs a diagonal path across a rectangular patio. The path is 29 meters long. The width of the patio is x meters, and the length of the path is 5 meters more than the width.Which equation can be used to find the dimensions of the patio?A. 0.5(x)(x + 5) = 29B. 0.5(x)(x + 5) = 841C. x2 + (x + 5)2 = 29D. x2 + (x + 5)2 = 841A quadratic equation has zero real number solutions. Which could be the discriminant value associated with this equation?A. -5B. 0C. 1D. 6The frequency table shows the results of a survey comparing weekly gasoline costs to the average number of miles a car can drive on a gallon of gasoline.Marcel converts the frequency table to a conditional relative frequency table by row.Which value should he use for Y? Round to the nearest hundredth.A. 0.19B. 0.45C. 0.82D. 0.90What is the factorization of g3 - 125?A. (g- 5)(g2 + 5g + 10)B. (g - 25)(g2 + 25g + 625)C. (g - 5)(g2 + 5g + 25)D. (g - 25)(g2 + 5g + 125)A quadratic equation of the form 0 = ax2 + bx + c has one real number solution. Which could be the equation?A. 0 = 2x2 - 4x + 1B. 0 = 2x2 - 5x + 3C. 0 = -2x2 - 4x - 2D. 0 = -2x2 - 3x - 1Which expression is equivalent to 64 − 9x2?A. (32)2 − (3x)2B. (32)2 + (−3x)2C. (8)2 − (3x)2D. (8)2 + (−3x)2Which diagram represents the factors of m2 - 10m + 16 ?A. Graph OneB. Graph TwoC. Graph ThreeD. Graph FourWhat is the y-value of the vertex of the function f(x)=−(x+8)(x−14)?A. 3B. 6C. 112D. 121The Sales Director of Cosmic Solutions would like the picklist values of the 'Rating' field on the Lead object modified. What options are available to modify the standard field? (3)A. Additional values cannot be added, but standard values can be deletedB. New values can be added, but standard values cannot be deletedC. The values can be reorderedD. Additional values can be addedE. The standard values can be deleted
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