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IrinaVladis [17]
3 years ago
10

Colby and Jaquan are growing bacteria in an experiment in a laboratory. Colby starts with 50 bacteria in his culture and the num

ber of bacteria doubles every 2 hours. Jaquan has a different type of bacteria that doubles every 3 hours. Let x equal number of days. What two equations will represent Colby's growth and Jaquan's?
Mathematics
2 answers:
GalinKa [24]3 years ago
3 0
I was stuck on this problem too but I finally figured it out. One major hint was let x= the number of DAYS. So taking both of the growth rates into account the solution is this.

Colby:
He starts with 50 bacteria so that is your a value or y intercept. Keeping in mind x is the number of days you divide the number of hours in a day (24) by the time it takes to double (2 hours) and get 12. So the equation for Colby is y=50*2^12x

Jaquan:

You do the same thing except with Jaquan's part of the equation and divide 24 by 3 to get 8. The solution for Jaquan is y=50*2^8x



lubasha [3.4K]3 years ago
3 0
Colby:He starts with 50 bacteria so that is your a value or y intercept. Keeping in mind x is the number of days you divide the number of hours in a day (24) by the time it takes to double (2 hours) and get 12. So the equation for Colby is y=50*2^12x
Jaquan:
You do the same thing except with Jaquan's part of the equation and divide 24 by 3 to get 8. The solution for Jaquan is y=50*2^8x

Read more on Brainly.com - brainly.com/question/3571284#readmore
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<h2><u>QUADRATIC EQUATION</u></h2>

<h2>\mathbb{ANSWER:}</h2>
  • \bold{x = 0.8 \: } \:  \sf \:  {\color{grey}or} \:  \:  \:  \bold{ x=  \frac{4}{5} } \\

  • \bold{x =  - 6}

— — — — — — — — — —

<h3>Step-by-step explanation:</h3>

<u>How can </u><u>we</u><u> factor 5x^2 + 26x - 24 = 0 using the completing the square </u><u>method?</u>

Let's solve your equation step-by-step.

\bold{Given \:  Equation: \color{brown} 5x²+26x-24=0}

First, add 24 to both sides.

  • \bold{5x²+26x-24 - \purple{ 24} = 0 +  \purple{24}}

  • \bold{ \implies \: 5x²+26x = 24 }

Since the coefficient of 5x² is 5, divide both sides by 5.

  • \bold{ \frac{5 {x}^{2} + 26x }{5} =  \frac{24}{5}  } \\

  • \bold{ \implies \:  {x}^{2} +  \frac{26}{5} x =  \frac{24}{5}  } \\

The coefficient of 26/5x is 26/5. So, let b=26/5.

Then we need to add (b/2)²=169/25 to both sides to complete the square.

Add 169/25 to both sides.

  • \bold{ {x}^{2} +  \frac{26}{5} x +  \frac{  \purple{169}}{ \purple{25}}=  \frac{24}{5}    +  \frac{ \purple{169}}{ \purple{25}} } \\

  • \bold{ \implies \:\bold{ {x}^{2} +  \frac{26}{5} x +  \frac{  169}{ {25}}=  \frac{289}{25}  } } \\

Factor the left side.

  • \bold{(x +  \frac{13}{5} ) {}^{2} =  \frac{289}{25}  } \\

Take square root.

  • \bold{x +  \frac{13}{5} = ±  \:  \sqrt{ \frac{289}{25}  }} \\

Then, add (-13)/5 to both sides.

  • \bold{x +  \frac{13}{5} +  \frac{\purple{ - 13} }{\purple{ 5}} = \frac{{ - 13} }{{ 5}} ± \:      \sqrt{ \frac{289}{25}}} \\

  • \bold{  \: x =  \frac{ - 13}{5} ± \sqrt{ \frac{289}{25} } } \\

  • \implies \: \underline{ \boxed{ \bold{   \frac{4}{5}  } \sf  \:  \: or \:  \:  \bold{ x =  - 6}}} \\

_______________❖_______________

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