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Questions in mathematics

[Done] Which equation is equivalent to $2^{4 x}=8^{x-3}$ ? A. $2^{4 x}=2^{2 x-3}$ B. $2^{4 x}=2^{2 x-6}$ C. $2^{4 x}=2^{3 x-3}$ D. $2^{4 x}=2^{3 x-9}$

[Done] Solve the equation $10+\sqrt{y}=14$ A) $y=4$ B) $y=576$ C) $y=16$ D) $y=2$

[Done] $y=\sqrt{3 x^2+14 x-1}$

[Done] Question 11 A circle passes through points $A(1,2)$ and $B(3,4)$, and its center lies on the line $y=2 x-1$. What is the equation of this circle? Options: 1. $(x-2)^2+(y-3)^2=2$ 2. $(x-3)^2+(y-5)^2=10$ 3. $(x-1)^2+(y-1)^2=8$ 4. $(x-4)^2+(y-7)^2=26$ 5. $x^2+(y+1)^2=10

[Done] What is the axis of symmetry of the function [tex]$f(x)=-(x+9)(x-21)$[/tex]? A. [tex]$x=-6$[/tex] B. [tex]$x=6$[/tex] C. [tex]$x=-15$[/tex] D. [tex]$x=15$[/tex]

[Done] Which expression has the same value as the one below? [tex]$8+[4+(-9)][/tex] [tex]$12+(-9)$[/tex] [tex]$-12+9$[/tex] [tex]$-4+(-9)$[/tex] [tex]$4+(-9)$[/tex]

[Done] Ct substitution of $a, b$, and $c$ in the $x=\frac{12 \cdot \sqrt{12-114(1)}}{2(4)}$

[Done] Solve each equation by square roots. 7. [tex]$x^2+4=29$[/tex]

[Done] If [tex]f(x)=2 x-6[/tex] and [tex]g(x)=3 x+9[/tex], find [tex](f+g)(x)[/tex] A. [tex](f+g)(x)=5 x+15[/tex] B. [tex](f+g)(x)=x+15[/tex] C. [tex](f+g)(x)=5 x+3[/tex] D. [tex](f+g)(x)=-x-15[/tex]

[Done] The volume of a cone is 3πx³ cubic units and its height is x units. Which expression represents the radius of the cone’s base, in units? Options: A) 3x B) 6x C) 3πx² D) 9πx²