Questions in mathematics

Questions in mathematics

📝 Answered - Simplify the following. a) $3 \times a \times 2 \times b$ b) $c^5 \times c$ c) $2 y^4 \times 5 y^3$ d) $3 g h^2 \times 4 g^3 h^3$

📝 Answered - $x=\frac{-(-1) \pm \sqrt{(-1)^2-4(1)(1)}}{2(1)}

📝 Answered - $-3 \cdot f(-8)+7 \cdot g(2) = \square$

📝 Answered - The graph of $y=h(x)$ is a line segment joining the points $(-7,-5)$ and $(-1,-2)$. Drag the endpoints of the segment below to graph $y=h^{-1}(x)$.

📝 Answered - Solve the system of equations: [tex]\left\{\begin{array}{l} y=-4 x+4 \ -4 x+5 y=-28 \end{array}\right.[/tex] Solution: ( [tex]\square[/tex] , [tex]\square[/tex] )

📝 Answered - 1. [tex]\frac{4}{5} - \frac{3}{2} =[/tex] 2. [tex]\frac{7}{3} - \frac{2}{8} =[/tex] 3. [tex]\frac{6}{4} - \frac{3}{4} =[/tex] 4. [tex]\frac{7}{4} - \frac{5}{8} =[/tex] 5. [tex]\frac{3}{4} - \frac{1}{4} =[/tex]

📝 Answered - The function $f(x)=\frac{30+0.25 x}{x}$ yields the average cost in dollars per cup of lemonade made by Lincoln at his lemonade stand when he makes $x$ cups of lemonade. Which statement best fits the situation modeled by the function? A. Lincoln sells lemonade for 25 cents a cup. B. Lincoln gave away 30 cups of lemonade for free. C. Lincoln uses 25 cents worth of supplies per cup. D. Lincoln uses 30 cents worth of supplies per cup.

📝 Answered - Teresa makes homemade empanadas and sells them at local events. The table shows the price she charges for different quantities of empanadas. Is the relationship between price and number of empanadas proportional? Complete the statements. The price per empanada is the same for each quantity purchased, so the relationship is proportional. | Empanadas | Price (dollars) | |---|---| | 2 | 1 | | 4 | 2 | | 6 | 3 | | 8 | 4 | The constant of proportionality is $\square$.

📝 Answered - 1. The following task example illustrate the Problem-Solving level according to CAPS: 1.1.1. John had a few marbles. Today he played and doubled his number of marbles. Then Thabo gave him three marbles for free. Jabu has 21 marbles now. How many did he have before he started playing? Solve this problem using a suitable model. 2. Define and briefly explain in your own words the historical evolution of numeration systems and give two examples in the following: 121 Early evidence of (6)

📝 Answered - Simplify each expression. $-6(3 i)(-2 i)=$ $2(3-i)(-2+4 i)=$