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     [ (–3) x (5) ]  + (15)  +  (–9)  =  –9     

     (–3)  +  (5)  +  (15)  +  (–9)  =  +8     

     [ (–3) x (5) ]  +  (15)  – (–9)  =  +9     

     (5)  +  (15)  –  [ (–3) x (–9) ]  =  –7     

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what is 30% of 45     

     30% of 45  =  0.30 • 45  =  13.5     

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8y-2(y+4) simplify     

     8y – 2(y + 4)     

     8y – 2y – 8     

     6y – 8     

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if jennifer babysat on friday and made 52.50 in 6 hours. On sunday, she babysat for 4 hours and made $35. Was the amount she earned each day proportional to the hours that she worked?     

     (52.50 $) / 6 hr  =  8.75 $/hr     

     (35.00 $) / 4 hr  =  8.75 $/hr     

     Yes . . . . they're exactly proportional.     

_.     

     32.5% as a fraction     

     32.5%  =  0.325  =  ³²⁵ / ₁₀₀₀ . . . . now reduce it     

     both 325 and 1000 are divisible by 25     

     32.5%  =  ¹³ / ₄₀     

_.     

Let k be a positive real number and find  k, so that the line is tangent to the circle.

\(y=\sqrt{k-x^2}\\ y=-x+3+k\)

\(\color{blue}k\notin \{+\mathbb{R}\}\)

\(y=\sqrt{k-x^2}\\ y=-x+3+k \)

\(y=\sqrt{{\color{blue}1.365}-x^2}\\ y=-x+3\color{blue}-1.365\)

\(\color{blue}k\in \{ \approx 1.365,\ \approx-1.365\}\)   determined with graphics. 

If +k is replaced by -k in the problem, it is solvable. 

 !