QMI1500 Assignment 1 Semester 1 2024 (Solutions)

QMI1500 Assignment 1 Semester 1 2024 (Solutions) Question 1 Not yet answered Marked out of 1.00 Flag question Question text The following table represents a linear function y=f(x)=ax+b�=�(�)=��+�: x� y� −1−1 55 1 1 99 3 3 1313 5 5 1717 The straight line that has a greater slope and a greater y�-intercept than the straight line described by the linear function above is Select one: a. y=10x+5,5�=10�+5,5. b. y=3x+7,5�=3�+7,5. c. y=5x+6,5�=5�+6,5. d. y=2x+8,5�=2�+8,5. Question 2 Not yet answered Marked out of 1.00 Flag question Question text Consider the functions h(x)=2x2+x−1 ℎ(�)=2�2+�−1 and g(x)=4x−5 �(�)=4�−5. The value of h(−1)−g(−1)ℎ(−1)−�(−1) is Select one: a. 99. b. −9−9. c. 1111. d. 00. Question 3 Not yet answered Marked out of 1.00 Flag question Question text In a lottery, players must match five numbers plus a bonus number. Five white balls are chosen from 5959 white balls numbered from 11 to 5959, and one red ball (the bonus number) is chosen from 3535 red balls numbered 11 to 3535. How many different results are possible? Select one: a. b. c. d. Question 4 Answer saved Marked out of 1.00 Flag question Question text The equation of the straight line that is parallel to the straight line 2y=3x−12�=3�−1 is Select one: a. y=13x−1�=13�−1. b. 3y=2x−33�=2�−3. c. 2y=x−32�=�−3. d. 4y=6x+84�=6�+8. Question 5 Not yet answered Marked out of 1.00 Flag question Question text If a=−3�=−3, b=4�=4 and c=−5�=−5, then by how much is the product abc��� greater than the sum a+b+c�+�+�? Select one: a. 6464 b. 4848 c. 5656 d. −64 Question 6 Not yet answered Marked out of 1.00 Flag question Question text A square sheet of metal with sides 4a4� has a circle of diameter 2a2� and a rectangle of length 2a2� and width a� removed from it: If the area of a circle is calculated as πr2��2, the area of the remaining metal is Select one: a. 14a2−4πa214�2−4��2. b. 4a−4πa2−2a24�−4��2−2�2. c. 14a2−πa214�2−��2. d. 4a2+πa2−a4�2+��2−�. Question 7 Not yet answered Marked out of 1.00 Flag question Question text Consider the straight line drawn below: The linear equation that does NOT represent this line is Select one: a. 5y=2x−105�=2�−10. b. 2y+4=5x2�+4=5�. c. y−25x=−2�−25�=−2. d. 2+y=25x2+�=25�. Question 8 Not yet answered Marked out of 1.00 Flag question Question text If a>0�>0 and b<0�<0, which one of the following must be true? Select one: a. ab>0��>0 b. a+b>0�+�>0 c. a−b>0�−�>0 d. b−a>0 Question 10 Not yet answered Marked out of 1.00 Flag question Question text Simplifying 2n+12n−22�+12�−2 gives Select one: a. −12−12. b. 1818. c. 88. d. n+1n−2�+1�−2. Question 11 Not yet answered Marked out of 1.00 Flag question Question text Simplifying 7+3×24÷8−(9−6÷3)27+3×24÷8−(9−6÷3)2 gives Select one: a. −29−29. b. 6262. c. −36−36. d. 168168. Question 12 Not yet answered Marked out of 1.00 Flag question Question text Simplifying 2x−56+3x2�−56+3� gives Select one: a. −1+x3(x−1)−1+�3(�−1). b. 2−5x3(2x+1)2−5�3(2�+1). c. 30−5x6x30−5�6�. d. 2−5x÷6x+3x2−5�÷6�+3�. Question 13 Not yet answered Marked out of 1.00 Flag question Question text Answer the following questions: a. If m� men can move 500 boxes in one day, how many men will be needed to move x� boxes in one day? b. In a factory, 1515 of every 300300 light bulbs were defective. At the same rate, if 680680 bulbs are tested, how many of them would not be defective? Choose the option that answers both questions correctly: Select one: a. a. mx500��500 b. 3434 b. a. 500mx500�� b. 646646 c. a. mx500��500 b. 646646 d. a. x500m�500� b. 650650 Question 15 Not yet answered Marked out of 1.00 Flag question Question text Below are some statements and some fractions: Statement Fractions A. reduced to lowest terms 1. 410410 B. a fraction with a numerator of 33 that is equivalent to 2. −53−53 C. reciprocal of 5353 3. 2323 D. 114×−113114×−113 4. 2525 E. 0,40,4 expressed as a common fraction in simplest form 5. 3535 Some of the statements may refer to the same fraction, therefore, a fraction can be used more than once. Match each statement with the correct fraction. Choose the correct option: Select one: a. A: 11; B: 33; C: 55; D: 55; E: 11 b. A: 44; B: 55; C: 55; D: 22; E: 44 c. A: 11; B: 33; C: 22; D: 22; E: 44 d. A: 44; B: 55; C: 22; D: 33; E: 11 Clear my choice Question 16 Answer saved Marked out of 1.00 Flag question Question text A merchant purchased a line of handbags for R172,00R172,00 each. She wants to offer a 14%14% discount off the listed selling price and still make a 24%24% profit. The price that she should mark on the label is Select one: a. R258,00R258,00. b. R183,42R183,42. c. R248,00R248,00. d. R243,14R243,14. Clear my choice Question 17 Not yet answered Marked out of 1.00 Flag question Question text The width of a rectangular tank is xcm�cm. Its height is 2323 its width and its length is four times its height. The volume of the tank (in litres) is Select one: a. 169x3ℓ169�3ℓ. b. 169x3×10−3ℓ169�3×10−3ℓ. c. 83x3×103ℓ83�3×103ℓ. d. 83x3ℓ83�3ℓ. Question 19 Answer saved Marked out of 1.00 Flag question Question text There exists a relationship between x� and y�. In the following tables the independent variable is represented by x� and the dependent variable is represented by y�: Which table represents a relationship that is not a function? Select one: a. S b. Q c. P d. R Question 20 Not yet answered Marked out of 1.00 Flag question Question text The expression 48−−√4+6112−−−√−27−−√484+6112−27 is NOT equal to Select one: a. −33–√−33. b. −93–√−93. c. 3–√+33–√−33–√3+33−33. d. 3+3−3×33–√3+3−3×33