12. Make Sense and Persevere A pick-your- own pecan farm charges \( \$ 1.35 \) per pound of pecans plus \( \$ 0.40 \) per pound to crack the pecans. Amelia picks 20 pounds of pecans. The farm cracks 5 pounds for her. How much does Amelia pay all together?

Jika \( a=2 \sqrt{20}, b=4 \sqrt{15} \), dan \( c=5 \sqrt{5} \) Tentukan nilai dari \( a^{2}+b^{2}-c^{2}=\ldots \ldots \ldots \ldots \)

Which graph shows the solution to the system of equations \( 2 x+y=4 \) and \( 3 x-2 y=6 \) ?

Find the absolute extrema if they exist as well as where they occur. \( f(x)=4-x-\frac{36}{x}, x>0 \) A. Absolute minimum of -8 at \( x=6 \); no absolute maximum B. Absolute maximum of -33 at \( x=1 \); no absolute minimum C. Absolute maximum of 16 at \( x=-6 \); absolute minimum of 4 at \( x=0 \) D. Absolute maximum of -8 at \( x=6 \); no absolute minimum

Factor the following trigonometric expression. \[ \sec ^{2} \alpha-\cot ^{2} \beta \]

Let \( f(x)=x^{2}-5 \) and \( g(x)=19-x \). Perform the composition or operation indicated. \( (f g)(-4) \)