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Observe neither x=7 or x=(-4) are solutionsMultiply through by (x-7), x + 6(x-7)/(x+4) = (x-7)Subtract x, 6(x-7)/(x+4) = -7Multiply through by (x+4), 6(x-7) = -7(x+4)Therefore, 6x - 42 = -7x - 28Rearrang...

2^x = e^{ln(2^x)} = e^xln(2) , d/dx(e^xln(2)) = ln(2)e^xln(2) = ln(2)*2^x

let u=kx,du/dx=ky= 4 sin(u)dy/du= 4cos(u)
dy/dx= du/dx*dy/du = 4kcos(u) =4kcos(kx)

60x1000=60,000 (convert km into m)60,000/(60x60)= 16.67m/s (here we divide the 60,000m by the number of seconds within an hour, which is 3600)Final answer is therefore 16.67m/s

Use the 'crab claw' technique for which order to expand your brackets in (demonstrate by drawing with whiteboard). So start with 2x multiplied by x = 2x^2. Then 2x multiplied by 3 = 6x. Then 4 m...