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Questions in mathematics

[Answered] Terry is trying to place a satellite dish on the roof of his house at the recommended height of 30 feet. His house is 32 feet wide, and the height of the roof can be described by the function [tex]$h(x)=-\frac{3}{2}|x-16|+24$[/tex], where [tex]$x$[/tex] is the distance along the width of the house. Where should Terry place the dish?

[Answered] Try to plot, compare, and order the numbers and values of the expressions: [tex]$2 \sqrt{11},-2,5,3 \frac{1}{5}, \pi-3, \sqrt{37}$[/tex]

[Answered] Find the greatest common factor of each set of numbers. 7. 15, 20 18. 30, 48, 60

[Answered] What is the value of the expression below when [tex]$y=9$[/tex]? [tex]$y^2+3 y-4$[/tex]

[Answered] Evaluate: $-4+2\left[-2-8\left((-6)^2+4\right)\right]$

[Answered] Evaluate the expression. $42 \div 2-3 \times 4$

[Answered] 2. [tex]$2 x-5 x+6.3=-14.4$[/tex]

[Answered] The profit earned by a hot dog stand is a linear function of the number of hot dogs sold. It costs the owner $48 dollars each morning for the day's supply of hot dogs, buns and mustard, but he earns $2 profit for each hot dog sold. Which equation represents \(y\), the profit earned by the hot dog stand for \(x\) hot dogs sold? A. \(y=48 x-2\) B. \(y=48 x+2\) C. \(y=2 x-48\) D. \(y=2 x+48\)

[Answered] Use the formula for a binomial squared to multiply. $(3 x+2)^2$

[Answered] Select all the correct answers. Which expressions are factors of this polynomial? [tex]2 x^4+x^3-29 x^2-34 x+24[/tex] ( [tex]x+6[/tex] ) ( [tex]x-4[/tex] ) ([tex]2 x-1[/tex]) ( [tex]x-3[/tex] ) ([tex]x+2[/tex])