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Questions in mathematics

📝 Answered - Write a function rule for the table. | x | f(x) | | --- | ---- | | -1 | 0 | | 0 | 1 | | 1 | 2 | | 2 | 3 | A. [tex]f(x)=x[/tex] B. [tex]f(x)=x+1[/tex] C. [tex]f(x)=x-1[/tex]

📝 Answered - Graph the given function by making a table of coordinates. [tex]f(x)=\left(\frac{2}{3}\right)^x[/tex] Complete the table of coordinates. | x | -2 | -1 | 0 | 1 | 2 | |---|---|---|---|---|---| | y | [tex]\frac{9}{4}[/tex] | $\square$ | 1 | [tex]\frac{2}{3}[/tex] | [tex]\frac{4}{9}[/tex] | (Type integers or fractions. Simplify your answers.) Choose the correct graph below.

📝 Answered - The table below shows the rand equivalent of one British pound and one US dollar. | COUNTRY | CURRENCY | RATE OF EXCHANGE OF THE RAND | | --------------------------- | ----------- | ------------------------------ | | Britain (United Kingdom) | Pound (£) | 21.41 | | United States of America | Dollar ($) | 12.45 | A South African nurse works in the United States of America. 4.2.1 The nurse saves the equivalent of R4 800 per month. Calculate the amount, in US (American) dollars, that she saves per month. 4.2.2 She ordered a book from the United Kingdom (Britain) and paid 385 for it. Calculate the price of the book in pounds (£). A sum of money doubles in 5 years when the interest is compounded. Calculate the rate of interest.

📝 Answered - A box is to be constructed with a rectangular base and a height of 5 cm. If the rectangular base must have a perimeter of 28 cm, which quadratic equation best models the volume of the box? [tex] \begin{array}{l} V=W h \\ P=2(1+w) \end{array} [/tex] A. [tex]$y=5(28-x)(x)$[/tex] B. [tex]$y=5(28-2 x)(x)$[/tex] C. [tex]$y=5(14-x)(x)$[/tex] D. [tex]$y=5(14-2 x)(x)$[/tex]

📝 Answered - The formula that relates the length of a ladder, [tex]$L$[/tex], that leans against a wall with distance [tex]$d$[/tex] from the base of the wall and the height [tex]$h$[/tex] that the ladder reaches up the wall is [tex]$L=\sqrt{d^2+h^2}$[/tex]. What height on the wall will a 15-foot ladder reach if it is placed 3.5 feet from the base of a wall? A. 11.5 feet B. 13.1 feet C. 14.6 feet D. 15.4 feet

📝 Answered - What are the domain and range of [tex]f(x)=\left(\frac{1}{5}\right)^x[/tex]? A. The domain is all real numbers. The range is all real numbers. B. The domain is all real numbers. The range is all real numbers greater than zero. C. The domain is all real numbers greater than zero. The range is all real numbers. D. The domain is all real numbers greater than zero. The range is all real numbers greater than zero.

📝 Answered - Which of the following statements is true in regard to sketching the graph of a polynomial function? Choose the correct statement below. A. The y-intercept can be found by setting f(x) equal to zero and solving for x. B. The multiplicity of the real zeros can be used to determine the behavior of the graph at the x-intercepts. C. The x-intercept(s) can be found by finding f(0). D. The degree of the polynomial function can be used to determine the real zeros.

📝 Answered - A direct variation function contains the points $(-9,-3)$ and $(-12,-4)$. Which equation represents the function? A. $y=-3 x$ B. $y=\frac{x}{3}$ C. $y=\frac{x}{3}$ D. $y=3 x$

📝 Answered - 6. [tex]$\frac{1}{3} \div 1 \frac{3}{6}=[/tex] 7. [tex]$4 \frac{2}{4} \div 2 \frac{1}{3}=[/tex] 8. [tex]$1 \frac{3}{4} \div 2 \frac{1}{2}=[/tex] 9. [tex]$2 \frac{1}{7} \div 1 \frac{3}{4}=[/tex]

📝 Answered - Which of the following is an even function? [tex]f(x)=|x|[/tex] [tex]f(x)=x^3-1[/tex] [tex]f(x)=-3 x[/tex] [tex]f(x)=\sqrt[3]{x}[/tex]