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ioda
2 years ago
7

A container can hold no more than 80 lb. Rick fills the box with books that each weigh 2 lb and a statue that weighs 10 lb. Whic

h inequality can you use to solve for the number of books b Rick can put in the box?
Mathematics
1 answer:
Bad White [126]2 years ago
6 0
2B + 10 ≤ 80.....................
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y = mx + b

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By definition, if two straight lines are parallel then their slopes are equal. Thus, the slope of the line sought will be m = 2.

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We substitute the given point to find b:

2 = 2 (-1) + b\\2 = -2 + b\\2 + 2 = b\\b = 4

Finally the line is:

y = 2x + 4

Answer:

y = 2x + 4

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Factorize 2a^2+7a-15​
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\huge\bf  \pink {\underline{Solution :-}}

2 {a}^{2}  + 7a - 15

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\sf \red{Hence, Answer \:  is  \: (a + 5)(2a - 3).}

\\

\bf \purple{ \underline{ Important  \: Formulas  \: for  \: Factorization :-}}

• \:  {a}^{2}  + 2ab + {b}^{2} =  {(a + b)}^{2}

• \: (a + b)(a - b) =  {a}^{2}  -  {b}^{2}

• \:  {a}^{2} - 2 ab  +  {b}^{2}  =  {(a - b)}^{2}

• \:  {a}^{3}  + 3 {a}^{2} b + 3a {b}^{2}  +  {b}^{3} =  {(a + b)}^{3}

• \:  {a}^{3}   -  3 {a}^{2} b + 3a {b}^{2}   -  {b}^{3} =  {(a  - b)}^{3}

•  \:  {(a + b)}^{2}  +  {(a - b)}^{2}  = 2( {a}^{2}  +  {b}^{2} )

• \: {(a + b)}^{2}   -   {(a - b)}^{2}  = 4ab

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• \: (a  -  b)( {a}^{2}    + ab   +  {b}^{2}  ) =  {a}^{3}   -  {b}^{3}

• \:   {( \frac{a + b}{2} )}^{2}  - ( {\frac{a - b}{2} } )^{2}  = ab

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