M = 16 16 = 4B B = 4 (M - B) = 12 <== this will never change. Mary will always be 12 yrs older than he is.
So, when she is twice as old as he is, he is 12 and she is 24 .
That will occur in 8 years from now. They should live long and prosper.
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Mary will be 24 years old when she is twice as old as her brother. This will occur in 8 years from now. Currently, Mary is 16 years old and her brother is 4 years old, maintaining a 12-year age difference.
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Jawaban:Turunan dari [tex]\tt{}f(x) = \frac{3x - 5}{x + 7} [/tex] adalah [tex]\tt{}f'(x) = \frac{26}{(x + 7 {)}^{2} } .[/tex]Penjelasan dengan langkah-langkah:[tex]\tt{}f(x) = \frac{3x - 5}{x + 7} [/tex][tex]\tt{}f'(x) = \frac{(x + 7)(3) - (3x - 5)(1)}{(x + 7 {)}^{2} } [/tex][tex]\tt{}f'(x) = \frac{3x + 21 - 3x + 5}{(x + 7) ^{2} } [/tex][tex]\tt{}f'(x) = \frac{26}{(x + 7 {)}^{2} } [/tex]
To find the derivative of the given function, we will use the quotient rule. Let u = 3x - 5 and v = x + 7.The quotient rule states: d/dx (u/v) = (v * du/dx - u * dv/dx) / v^2 Find the derivatives of u and v:du/dx = d/dx (3x - 5) = 3dv/dx = d/dx (x + 7) = 1Apply the quotient rule:d/dx ((3x - 5) / (x + 7)) = ((x + 7) * 3 - (3x - 5) * 1) / (x + 7)^2Simplify the expression:= (3x + 21 - 3x + 5) / (x + 7)^2= 26 / (x + 7)^2Therefore, the derivative of (3x-5)/(x+7) is 26/(x+7)^2.