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Questions in mathematics

[Done] $(15 x^2-2 x+3)-(5+6 x+7 x^2)$

[Done] Solve the following system by graphing and identify the point of intersection. $\left\{\begin{array}{l} -5 x+2 y=-4 \\ 2 x-y=2 \end{array}\right.$ A. $(1,2)$ B. $(0,-2)$ C. $(2,1)$ D. $(-2,0)$

[Done] What is the maximum value of [tex]y[/tex] for [tex]y=2 \sin x[/tex]?

[Done] Solve by factoring or finding square roots. [tex]x^2-6 x-7=0[/tex]

[Done] A patient is receiving IV morphine at 80 mg/hr as a continuous IV infusion. The medication is supplied as 500mg/ml. How many ml per hour will the nurse set the pump to?

[Done] Use natural logarithms to solve the equation. [tex]$6 e^{2 x}-9=23$[/tex] Round to the nearest thousandth.

[Done] When [tex]$y$[/tex] is 4, [tex]$p$[/tex] is 0.5, and [tex]$m$[/tex] is 2, [tex]$x$[/tex] is 2. If [tex]$x$[/tex] varies directly with the product of [tex]$p$[/tex] and [tex]$m$[/tex] and inversely with [tex]$y$[/tex], which equation models the situation? [tex]$\frac{x y}{p m}=8$[/tex] [tex]$\frac{x p m}{y}=0.5$[/tex] [tex]$\frac{x}{p m y}=0.5$[/tex]

[Done] Work out: $4 \frac{1}{9}-3 \frac{3}{5}$ Give your answer in its simplest form.

[Done] Solve the equation and verify the solution. $\sqrt{8 a+9}-2=7$

[Done] If [tex]s(x)=x-7[/tex] and [tex]t(x)=4 x^2-x+3[/tex], which expression is equivalent to [tex](t \circ s)(x)[/tex]? A. [tex]4(x-7)^2-x-7+3[/tex] B. [tex]4(x-7)^2-(x-7)+3[/tex] C. [tex](4 x^2-x+3)-7[/tex] D. [tex](4 x^2-x+3)(x-7)[/tex]