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A piecewise function has an -intercept at (-1.5, 0) and a y-intercept at (0, 3), and the two pieces of the function meet at (3, 9). Which could be the piecewise function? O f(I) = 2x - 3, = 3 O f(x) = 2x + 3, I g(500) O The values of the functions cannot be compared.For this item, complete the choice matrix by clicking the appropriate answer in each row. A student wants to use characteristics of f (z) = $3 + 223 a: 2 to graph the function. Determine whether each statement is true or false. True False For large values of 2:, f (2:) decreases as 2: increases. 0 O For large values of :c, f (2:) increases as :I: increases. 0 O The function has zintercepts at (2, ) , (1, El), and (1, El). 0 O The function has zintercepts at (2, D) and (1,0) only. 0 O For an experiment, a researcher randomly assigns 12 students to one group and 12 students to another. . The researcher asks one group to type a paragraph using a flat keyboard and the other group to type the same paragraph using a sloped keyboard. . The researcher records the number of errors each student in both groups makes while typing. . The researcher calculates the mean number of errors for both groups and reports the difference of the two means as 2.8 errors. . The researcher then runs a simulation to see what differences in mean occur due to variation in the random assignment. The dot plot shows the result of the simulation. -3 2 Difference of Means Which statement is true? The observed difference of 2.8 is not statistically significant because the mean difference of 2.8 or more is highly likely to occur by chance. O The observed difference of 2.8 is not statistically significant because the mean difference of 2.8 or more occurs at least once in the simulation. O The observed difference of 2.8 is statistically significant because the mean difference of 2.8 or more is unlikely to occur by chance alone. O The observed difference of 2.8 is statistically significant because the mean difference of 2.8 or more occurs at least once in the simulation.This question requires you to enter the answer in the box provided on the screen. During a sale, a store owner offers a discount depending on how much money a customer spends. The function Fractions should be entered in lowest terms using a forward slash () and converted to improper fractions p (x) represents the total amount owed by a customer during the sale when purchasing items totaling a value of r when applicable. dollars. Use only numbers, a negative sign (-), a decimal point (.), and/or a forward slash () to enter the answer. 100 How much does a customer owe for items with a total value of $140, in dollars and cents? CalculatorThis question requires you to enter the answer in the box provided on the screen. Consider the isosceles trapezoid. . Fractions should be entered in lowest terms using a forward slash () and converted to improper fractions when applicable. (3x + 16y + 19) Use only numbers, a negative sign (-), a decimal point (.), and/or a forward slash () to enter the answer. Enter the answer in the space provided. -6x - 16) 50 What is the value of y? y CalculatorThis question requires you to enter the answer in the box provided on the screen. A stockroom has two employees to unload deliveries of equal size. . Fractions should be entered in lowest terms using a forward slash () and converted to improper fractions . Employee 1 can unload the delivery in 120 minutes. when applicable. Employee 2 can unload the delivery in 180 minutes. Use only numbers, a negative sign (-), a decimal point (.), and/or a forward slash () to enter the answer. . Enter the answer in the space provided. How many minutes will it take the two employees to unload a delivery together? minutes CalculatorThis question requires you to enter the answer in the box provided on the screen. A student tries to solve the equation 2271 = at + 2 + 6 but is unsure of how to isolate the variable, so the student decides to Fractions should be entered in lowest terms using a forward slash () and converted to improper fractions graph y = 227+ and y = at + x2 + 6. What value of a represents the solution to the equation? when applicable. Use only numbers, a negative sign (-), a decimal point (.), and/or a forward slash () to enter the answer. Enter the answer in the space provided. CalculatorThis question requires you to enter the answer in the box provided on the screen. Consider the graph of the polynomial function f(x). Fractions should be entered in lowest terms using a forward slash () and converted to improper fractions when applicable. . Use only numbers, a negative sign (-), a decimal point (.), and/or a forward slash () to enter the answer. . Enter the answer in the space provided. -10-9 -8 -7 6 -5- 10 If the function g(x) = k . f(x) maps the y-intercept (0, -3) to (0, -9), what is the value of k? Calculator