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Questions in mathematics

[Jawaban] Which of the following is a logarithmic function? $y=0.25 x$ $y=x^{0.25}$ $y=\log _{0.25} x$ $y=(0.25)^x$

[Jawaban] If [tex]m(x)=\frac{x-1}{x-1}[/tex] and [tex]n(x)=x-3[/tex], which function has the same domain as [tex](m \circ n)(x)[/tex]? A. [tex]h(x)=\frac{x+5}{11}[/tex] B. [tex]h(x)=\frac{11}{x-1}[/tex] C. [tex]h(x)=\frac{11}{x-4}[/tex] D. [tex]h(x)=\frac{11}{x-3}[/tex]

[Jawaban] Select the correct answer. Which value of [tex]$y$[/tex] makes this equation true? [tex]\frac{12 y-1}{2}=\frac{9 y+8}{5}[/tex] A. [tex]$\frac{1}{6}$[/tex] B. [tex]$\frac{1}{2}$[/tex] C. 2 D. 6

[Jawaban] Write 'P' for prime and 'C' for composite numbers. (a) 42 (b) 81 (c) 34 (e) 61 (f) 39 (g) 99 (i) 21 (j) 105 (k) 181

[Jawaban] In the polynomial 9x³ - kx + 4, where k is an integer, if 3x - 2 is a factor of the polynomial, what is the value of k?

[Jawaban] Consider the following function: g(x) = 8x²eˣ Step 2 of 2: Find the second derivative of the above function. g''(x) =

[Jawaban] Bryan works as a florist. The number of bouquets he makes is given by the equation [tex]$b=\frac{3}{4} h$[/tex], where [tex]$b$[/tex] is the number of bouquets and [tex]$h$[/tex] is the number of hours. How many hours would it take him to make 6 bouquets? A. 6 B. 8 C. 12 D. 10 E. 24

[Jawaban] If [tex]r(x)=3x-1[/tex] and [tex]s(x)=2x+1[/tex], which expression is equivalent to [tex](\frac{r}{s})(6)[/tex]? A. [tex]\frac{3(6)-1}{2(6)+1}[/tex] B. [tex]\frac{(6)}{2(6)+1}[/tex] C. [tex]\frac{36-1}{26+1}[/tex] D. [tex]\frac{(8)-1}{(6)+1}[/tex]

[Jawaban] Select the correct answer. The table represents quadratic function [tex]$g$[/tex]. Which statement is true about the function? | x | -5 | -4 | -3 | -2 | -1 | 0 | |---|----|----|----|----|----|---| | g(x) | -1 | 0 | -1 | -4 | -9 | -16 | A. The maximum occurs at the function's [tex]$y$[/tex]-intercept. B. The minimum occurs at the function's [tex]$y$[/tex]-intercept. C. The maximum occurs at the function's [tex]$x$[/tex]-intercept. D. The minimum occurs at the function's [tex]$x$[/tex]-intercept.

[Jawaban] Select all the correct answers. Which expressions are equivalent to the given expression? [tex]$\sqrt{40}$[/tex] [tex]$160^{\frac{1}{2}}$[/tex] [tex]$2 \sqrt{10}$[/tex] [tex]$40^{\frac{1}{2}}$[/tex] [tex]$5 \sqrt{8}$[/tex] [tex]$4 \sqrt{10}$[/tex]