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Questions in mathematics

[Done] Consider the graph of [tex]$\frac{(x+3)^2}{1}+\frac{(y-2)^2}{9}\ \textgreater \ 1$[/tex]. Which point could confirm the graph is shaded correctly? A. $(-4,2)$ B. $(-3,5)$ C. $(-3,1)$ D. $(-2,2)$

[Done] Below, fill in the table of values and use the table values to graph [tex]y=-4 x[/tex] | x | y=-4x | |---|---| | -3 | | | -2 | | | -1 | | | 0 | | | 1 | | | 2 | | | 3 | |

[Done] What is the solution of the equation [tex]x^2-14 x+67=0[/tex]?

[Done] Select the correct answer. Which expression is equivalent to the given expression? $\frac{6 a b}{\left(a^0 b^2\right)^4}$ A. $\frac{6}{a^3 b^6}$ B. $\frac{6 a}{b^7}$ C. $\frac{6}{a^3 b^7}$ D. $\frac{6 a}{b^5}$

[Done] Which of the following represents the factorization of the trinomial below? [tex]x^2-6 x+9[/tex] A. [tex](x+3)^2[/tex] B. [tex](x+2)(x-3)[/tex] C. [tex](x-2)(x-3)[/tex] D. [tex](x-3)^2[/tex]

[Done] An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?

[Done] Which is a factor of $6 x^2+x-7 ?$ A. $x+1$ B. $2 x+1$ C. $6 x+7$ D. $3 x+7$

[Done] If there is inverse variation and [tex]y=6[/tex] when [tex]x=-2[/tex], find [tex]y[/tex] when [tex]x=-3[/tex]. A. 1 B. -4 C. 4 D. -1

[Done] What is the vertex of the quadratic function $f(x)=(x-8)(x-2)$? ( $\square$ , $\square$ )

[Done] Consider the equation [tex]$0.3 \cdot e^{3 x}=27$[/tex]. Solve the equation for [tex]$x$[/tex]. Express the solution as a logarithm in base-e. [tex]$x=$[/tex] Approximate the value of [tex]$x$[/tex]. Round your answer to the nearest thousandth. [tex]$x \approx$[/tex]