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Questions in mathematics

[Jawaban] At a game show, there are 6 people (including you and your friend) in the front row. The host randomly chooses 3 people from the front row to be contestants. The order in which they are chosen does not matter. How many ways can you and your friend both be chosen? A. ${ }_6 P_3=120$ B. ${ }_4 C_1=4$ C. ${ }_6 C_3=20$ D. ${ }_6 P_2=30

[Jawaban] Clara simplifies (8b - 4r) - (2b - r) and says the result is 6b - 5r. What error did Clara make? Options: 1. Clara incorrectly combined the b coefficients. The correctly simplified expression is 10b - 5r. 2. Clara incorrectly combined the r coefficients. The correctly simplified expression is 6b - 3r. 3. Clara incorrectly combined the r coefficients. The correctly simplified expression is 6b + 5r. 4. Clara incorrectly combined the b coefficients. The correctly simplified expression (incomplete).

[Jawaban] When this data is plotted on a line graph, what should the axis titles be? | Time (minutes) | Distance (m) Drone 1 | Drone 2 | |---|---|---| | 0 | 0 | 0 | | 1 | 7 | 5 | | 2 | 10 | 9 | | 3 | 12 | 14 | | 4 | 15 | 13 |

[Jawaban] Arrange the following numbers in order: 1756 1765 1770 1806 1793 1822 1819-26 1783, 1789 1791 1791 1792 1788 1860 1863 1859 1859 1860 1917 1765 1810 1783 1789.

[Jawaban] Q2: Find each of the following products. a) 8 × 2h = b) 3h × 4h = c) (-5h) × 6h = d) (-10h) × (-7h) =

[Jawaban] 4 a. What are the first three common multiples of 5 and 8? Answer: 40, 80, 120 b. List the common factors of 24 and 32. Answer: 1, 2, 4, 8 5. Find all the numbers between 95 and 130 that are: a. divisible by 3 Answer: 96, 99, 102, 105, 108, 111 b. divisible by 6 c. divisible by 9

[Jawaban] The parabola has a focus at $(-3,0)$ and directrix $x=3$. What is the correct equation for the parabola? A. $x^2=-12 y$ B. $x^2=3 y$ C. $y^2=3 x$ D. $y^2=-12 x$

[Jawaban] Factorize: (a) [tex]x^3-3 x^2-x+3[/tex] (b) [tex]2 x^3+3 x^2-1[/tex]

[Jawaban] Question 2 2.1 Factorisation: From Procedure to Pedagogy. 2.1.1 A key principle in mathematics education is to connect abstract concepts to visual representations. The expression 2x + 4y + px + 2py can be factored by grouping. Using the area model below, demonstrate how you would visually guide a learner to understand the factorisation of this expression. Complete the model and then write down the final factored form. X 2y 2py 2x [30] (4)

[Jawaban] Select the correct answer. What is the justification for step 2 in the solution process? [tex]\frac{1}{2} r+\frac{1}{2}=-\frac{2}{7} r+\frac{6}{7}-5[/tex] Step 1: [tex]\frac{1}{2} r+\frac{1}{2}=-\frac{2}{7} r-\frac{29}{7}[/tex] Step 2: [tex]\frac{1}{2} r=-\frac{2}{7} r-\frac{65}{14}[/tex] A. the addition property of equality B. the subtraction property of equality C. the multiplication property of equality D. the division property of equality