Bosco

The equation x^2 + ax = −14 has only integer solutions for x. If a is a positive integer, what is the greatest possible value of a?     

x² + ax          = –14     

x² + ax + 14  =  0     

The value of "a" is the sum of the integer factors of 14.     

We want the positive factors so the sum will be positive.     

That means either (1 + 14) or (2 + 7).   15 is the larger.     

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After 25 turns at bat, a baseball player had an average of 0.240.  The next several games he improved and got 11 hits, and that raised his average to 0.340.  How many times had he batted so far that whole season?     

  25 • 0.240 = 6 hits    

  6 + 11 = 17 hits     

     17     

  ––––––  =  50   total at-bats for the season     

   0.340     

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sine of angle is 0.507593924 what is angle     

sin^–1 (0.507593924) = 30.5037^o     per my scientific calculator     

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 what is the volume of 1200 length, 900 width and height 48     

  V  =  l • w • h     

       =  1200 • 900 • 48     

       =  51,840,000 unit³     

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how do you get to cos inverse ? cant find button     

Click the button labeled 2^nd     

cos button changes to acos,     

which stands for arc cosine,     

sometimes designated cos^–1     

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what is a 4 dimention hypercube     

Look up tesseract for an interesting description.     

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4 pencils and 3 crayons are 20.9 inches. 5 pencils and 4 crayons are 26.5 inches. Each pencil isthe same length as the other pencils, and each crayon is the same length as the other crayons. What is the length of 1 pencil? What is the length of 1 crayon?     

4P + 3C  =  20.9     both sides x4  —>  16P + 12C  =  83.6     (eq 1)     

5P + 4C  =  26.5     both sides x3  —>  15P + 12C  =  79.5     (eq 2)     

subtract (eq 2) from (eq 1)                        P             =    4.1     

substitute 4.1 back into (eq 1)            (4)(4.1) + 3C  =  20.9     

                                                                16.4 + 3C  =  20.9     

                                                                           3C  =    4.5     

                                                                             C  =    1.5     

check answer     

substitute both back into (eq 2)     

Does (5)(4.1) + (4)(1.5)  =  26.5   ?     

           20.5    +    6.0      =  26.5   ?     

                              26.5  =  26.5   True     

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