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Questions in mathematics

[Answered] Find [tex]\frac{dy}{dx}[/tex] if (a) [tex]$y=6 x^2 \sin x \cos x$[/tex]

[Answered] A Miami Heat player makes 17 of the 25 baskets he takes. What percentage of baskets did he successfully make?

[Answered] The axis of symmetry for the graph of the function [tex]$f(x)=3 x^2+b x+4$[/tex] is [tex]$x=\frac{3}{2}$[/tex]. What is the value of [tex]$b$[/tex]? A. -18 B. -9 C. 9 D. 18

[Answered] What is the solution to [tex]$\log _2(9 x)-\log _2 3=3$[/tex]? A. [tex]$x=\frac{3}{8}$[/tex] B. [tex]$x=\frac{8}{3}$[/tex] C. [tex]$x=3$[/tex] D. [tex]$x=9$[/tex]

[Answered] If [tex]f(x)=2x[/tex] and [tex]g(x)=5x+2[/tex], what is [tex](f+g)(x)[/tex] when [tex]x=3[/tex]?

[Answered] Which graph shows the solution to the equation $\log _2(3 x-1)=2 $?

[Answered] $z_1=6+9 i \quad z_2=-1+2 i$

[Answered] Find three rational numbers between -1 and -2.

[Answered] Which statement describes function composition with respect to the commutative property? A. Given [tex]f(x)=x^2-4[/tex] and [tex]g(x)=x-3[/tex], [tex](f \cdot g)(2)=-3[/tex] and [tex](g \cdot f(2)=-3[/tex], so function composition is commutative. B. Given [tex]f(x)=2 x-5[/tex] and [tex]g(x)=0.5 x-2.5[/tex], [tex](f \cdot g)(x)=x[/tex] and [tex](g \cdot f)(x)=x[/tex], so function composition is commutative. C. Given [tex]f(x)=x^2[/tex] and [tex]g(x)=\sqrt{x}[/tex], [tex](f \cdot g)(4)=16[/tex] and [tex](g \cdot f)(4)=2[/tex], so function composition is not commutative. D. Given [tex]f(x)=4 x[/tex] and [tex]g(x)=x^2[/tex], [tex](f \cdot g)(x)=4 x^2[/tex] and [tex](g \cdot f(x)=16 x^2[/tex], so function composition is not commutative.

[Answered] Solve for $x : 2 x -2>4 x +6$