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gtnhenbr [62]
2 years ago
12

Temperature Suppose there is a 1.9°F drop in temperature for every thousand feet that an airplane

Mathematics
1 answer:
gtnhenbr [62]2 years ago
8 0

Answer:

  29.4 °F

Step-by-step explanation:

There are ten thousands in 10,000. (Amazing, eh?) So, the temperature will drop by 10 × 1.9 °F = 19 °F.

A drop of 19 °F from 48.4 °F is ...

  48.4 -19 = 29.4

The temperature at 10,000 ft will be 29.4 °F.

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it costs $15 per month for membership at a baseball club. Members pay $5 for game tickets. Write an expression for the cost of 1
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Y=15+5g Y is the total cost in one month. 15 is the cost of the membership and 5 is the amount you paid to see the game. G is the variable for the amount of games. You multiple the g by 5 to get the total cost of games per a month that you went and saw. Than you add the base cost of 15 or your starting point. And you get your total cost.
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You have an allowance to spend on lunch this week. You will spend the same amount each day,and you get to keep whatever is left
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Answer:

The total allowance is $18.5, and the amount spent daily is $3.2

Step-by-step explanation:

let T and x represent the total allowance and the amount spent daily respectively.

It was started that the amount remaining after 2 days is $12.10 , which implies the person has spend an equal amount for 2 days

T - 2x =12.10       (equation 1)

It was started that the amount remaining after 5 days is $2.50  , which also implies the person has spend an equal amount for 5 days

T - 5x =2.5       (equation 2)

subtract equation 2 from 1

T - 2x -( T - 5x ) = 12.10 -2.5

T - 2x -T + 5x = 9.6

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T - 2x =12.10  

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How can I factor 5x^2 + 26x - 24 = 0 using the completing the square method.
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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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Step-by-step explanation:

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