Question 2 (1 point) V Saved The number of distinct non-permissible values in the expression (a + 1) (x - 3) x (* + 2) is: (a + 3) ( 2 + 2 )Question 3 (1 point) An expression equivalent to 3x + 2 x - 4, . 7 0, 4, is written in the form Ax2 + Bac CrD_20x , where A, B, C & D represent single-digit whole numbers. The value of A is: A/ The value of B is: A The value of C is: A/ The value of D is: AQuestion 4 (1 point) 3x + 2 4 - x The simplified sum of aw + b 7 and 4 can be represented by 28 ax + b In the simplified sum 28 , the value of a is: A/ Question 5 (1 point) 2 5 When x (* + 2) is subtracted from 2(x + 3) . the fully simplified expression can be Ax2 + BatC written in the form 2ac (a + 2) (2 +3) The value of C is A/Question 6 (2 points) In a Math 30-2 class, the teacher gives the class the following rational expressions. 16x 3x2 - 6x 4x2 - 8x 2x2 - 8 a) State all the non-permissible values of x in the expressions above. [1 mark] b) Determine the simplified product of the two expressions above. [1 mark] Show your work for full marks. Do not type out your answer, as it must be completed by hand.Question 7 (4 points) The Math 30-2 teacher gives the class a diagram of a rectangle with dimensions represented by rational expressions, where :B > 4 , as shown below. She reminds the class that the perimeter of a rectangle is the sum of the length of all the sides. 2:: x-4 cm 42 3x - 12 cm 3) Given that the perimeter of the rectangle above is 44 cm, write an equation that can be used to solve for X. Algebraically determine the value of x, to the nearest tenth, using this equation. [2 marks] b} Explain why :13 > 4 for the rectangle above. [2 marks] Question 8 (1 point) The value of x that would give an extraneous root (extraneous solution) in the following expression, 2 5 x +2 (a + 2) (a + 3) x + 3 is x =Question 13 (2 points) The temperature in an office is controlled by an electronic thermostat. The temperatures vary according to the sinusoidal function: y = 45111 (% (m 11)) +17 where yis the temperature (\"(3) and XlS the time in hours past midnight. a] The temperature in the office at 9:00 am when employees come to work is la b} The employees would like to see the office temperature increase by 2 C'C. Which parameter, a, b or d, would need to change in the sinusoidal function? l l "v Question 17 (3 points] A Ferris wheel at a local fair has a diameter of 58 m and the maximum height above the ground reached by a seat is 67 m. When discussing the graph of a sinusoidal function that models the height of the seat above the ground during the ride, the minimum value is l l \"v The median value is g The amplitude is l l 6/ Question 18 {1 point) Which of the following equations could be used to algebraically solve the exponential equation 3 . 8(3" _ 1) = 192? Question 19 (2 points) The amount of caffeine present in the human body after consumption can be modelled by an exponential function of the form C = a . b' where tis the elapsed time, in hours, and C is the amount of caffeine remaining, in milligrams. In the morning, Steve drinks a Monster Energy and in the evening he prefers Code Red Mountain Dew before he plays Pokemon. The equations of the exponentials functions that model Steve's caffeine consumption are shown below Monster Energy C = 55 1 2 Mountain Dew C = 110 1 Using the numerical values in the functions above, compare the information that these values provide.Statistics Canada has been tracking the number of farming families in Alberta. In 2005, there were 31 850 farming families. Since that time, the number of farming families has decreased at an average rate of 4.4% annually. Write an exponential function that could be used to model the number of farming families, F, in Alberta, t years after 2005. Question 23 (1 point) Algebraically determine the value of x in the following equation. 8-3x 16 Show your work for full marks. Do not type out your answer, as it must be completed by hand