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slavikrds [6]
4 years ago
14

Hello i'll attached them Okay

Mathematics
1 answer:
Phantasy [73]4 years ago
3 0
So megan is four years younger than her aunt

m+4=a
or
m=a-4
the sum of their ages is at least 40
m+a<u>></u>40
subsitute a-4 for m
a-4+a<u /><u>></u>40
combine like terms
2a-4<u>></u>40
the answer is the third from the top
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{x}^{3}  + (a + b) {x}^{2}  - 4x + 2 \\  =  {x}^{3}  + 5 {x}^{2}  - (2a - b)x + 2 \\  \\ equating \: like \: terms \: on \: both \: sides \\ (a + b) {x}^{2}  = 5 {x}^{2}   \\  \implies \: a + b = 5.....(1) \\  \\  - (2a - b)x =  - 4x \\ 2a - b = 4....(2) \\  \\ adding \: equations \: (1) \: and \: (2) \\  \\ 3a = 9 \\   \implies \: a =  \frac{9}{3}  \\   \huge \red{ \boxed{\implies \: a = 3}} \\  \\ substituting \: a = 3 \: in \: equation \: (1) \\ 3 + b = 5 \\   \implies \: b = 5 - 3 \\ \huge \purple{ \boxed{ \implies  b = 2}}

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4 years ago
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