Questions in mathematics

Questions in mathematics

📝 Answered - Type the correct answer in each box. Use numerals instead of words. Two chain restaurant brands, Joey's Refuge and Kane's Deli, were founded in the same year, although some outlets of Kane's Deli were operating under a different name before Kane's Deli was founded. The owner of Joey's Refuge uses the equation below to represent the number of restaurants, $y$, he owns $x$ years after the brand's founding. $y=2^x$ The owner of Kane's Deli uses the equation below to represent the number of restaurants, $y$, he owns $x$ years after the original brand's founding. $y=4 x+12$ Use graphing technology, and complete the given statements. After $\square$ years, Joey's Refuge and Kane's Deli will own the same number of restaurants. At that time, each chain will own $\square$ restaurants.

📝 Answered - Given [tex]f(x)=3 x+1[/tex] and [tex]g(x)=x^3-8[/tex], find [tex](f \cdot g)(x)[/tex]. A. [tex]3 x^3+x^2-6 x-6[/tex] B. [tex]4 x^2-6 x-8[/tex] C. [tex]3 x^3+x^2-18 x-6[/tex] D. [tex]3 x^2-17[/tex]

📝 Answered - [tex]$\sum_{n=1}(2 n-1)^2$[/tex] The sum of the series is

📝 Answered - Find the linear function with the following properties: [tex] \begin{array}{c} f(-4)=-11 \\ f(-10)=3 \end{array} [/tex]

📝 Answered - Six random samples were taken each year for three years. The table shows the inferred population for each type of fish for each year. | Year | Population Trout | Population Catfish | Population Bass | |---|---|---|---| | 1 | 77 | 57 | 58 | | 2 | 83 | 76 | 40 | | 3 | 92 | 80 | 31 | Which conclusion is supported by the data from the multiple-year samples? Check all that apply. A. The number of bass increased over time. B. The number of bass decreased over time. C. The number of catfish increased over time. D. The number of catfish remained the same. E. The fish population decreased over time.

📝 Answered - c) Complete the table of values. | Term number | 0 | 1 | 2 | 3 | 4 | 5 | |---|---|---|---|---|---|---| | Term value | | | | | | | d) Describe the pattern in words. e) Describe in words how the number of tiles in each term is related to the term number.

📝 Answered - Solve the rational inequality and graph the solution set on a real number line. Express the solution set in interval notation. [tex]$\frac{x+1}{x+8}\ \textless \ 2$[/tex]

📝 Answered - Which of the following numbers are divisible by both 3 and 9? (i) 21303 (ii) 321 (iii) 290571 (iv) 4032 Which of the following numbers are divisible by 11? (i) 06821 (ii) 725857 (iii) 2968152 (iv) 59862

📝 Answered - Which expression is equivalent to $\left(64 y^{100}\right)^{\frac{1}{2}}$? A. $8 y^{10}$ B. $8 y^{50}$ C. $32 y^{10}$ D. $32 y^{50}$

📝 Answered - Select the correct answer. Which value of $w$ makes this equation true? [tex]\frac{5 w+4}{3}=\frac{3 w}{2}[/tex] A. -8 B. -2 C. -1 D. 8