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10th-Grade-Math---USA

Algebra

Easy

Question

$text Solve end text minus 4 left parenthesis 3 x minus 1 right parenthesis plus 6 x greater or equal than 16$

$x \leq - 2$
$x \geq - 2$
x<2
x>2

The correct answer is: $x less or equal than negative 2$

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$The space sum space of space an space infinite space geometric space series space with space positive space terms space is space 3 space and space the space sum space of space the space cubes space of space its space terms space is space 27 over 19 space space Then space the space common space ratio space of space this space series space is$

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$The space sum space of space an space infinite space geometric space series space with space positive space terms space is space 3 space and space the space sum space of space the space cubes space of space its space terms space is space 27 over 19 space space Then space the space common space ratio space of space this space series space is$

$The space sum space of space an space infinite space geometric space series space with space positive space terms space is space 3 space and space the space sum space of space the space cubes space of space its space terms space is space 27 over 19 space space Then space the space common space ratio space of space this space series space is$

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$If space space lambda italic space space be space the space ratio space of space the space roots space of space the space quadratic space equation space in space straight x comma 3 m squared x squared plus m left parenthesis m minus 4 right parenthesis x plus 2 equals 0 space space then space space the space least space value space of space space straight m space space for space which space space lambda plus 1 over lambda equals 1 space space is$

$If space space lambda italic space space be space the space ratio space of space the space roots space of space the space quadratic space equation space in space straight x comma 3 m squared x squared plus m left parenthesis m minus 4 right parenthesis x plus 2 equals 0 space space then space space the space least space value space of space space straight m space space for space which space space lambda plus 1 over lambda equals 1 space space is$

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$Let space a subscript 1 comma a subscript 2 comma a subscript 3 italic. italic. italic. space be space straight a space harmonic space progression space such space that space a subscript 1 equals 5 space and space a subscript 20 equals 25 Least space value space of space straight n space which space a subscript n less than 0 space space is space space$

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$Let space a subscript 1 comma a subscript 2 comma a subscript 3 italic. italic. italic. space be space straight a space harmonic space progression space such space that space a subscript 1 equals 5 space and space a subscript 20 equals 25 Value space of space straight n space for space which space space a subscript n space space is space maximum space is$

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$If space the space lengths space of space the space sides space of space straight a space triangle space are space in space AP space and space the space greatest space angle space is space double space the space smallest comma space then space straight a space ratio space of space lengths space of space the space sides space of space this space triangle space is space$

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