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anastassius [24]
4 years ago
13

Convert y = 15x^2 - 300x - 60 vertex form by completing the square​

Mathematics
2 answers:
aksik [14]4 years ago
4 0

Answer:

  y = 15(x -10)^2 -1560

Step-by-step explanation:

It usually works well to divide the leading coefficient from the x terms:

  y = 15(x^2 -20x) -60

Now, add the square of half the x-coefficient inside parentheses. Subtract the same amount outside.

  y = 15(x^2 -20x +100) -60 -(15)(100)

  y = 15(x -10)^2 -1560 . . . . . collect terms; write the parentheses as a square

Iteru [2.4K]4 years ago
3 0

Answer:

Step-by-step explanation:

y=15 x²-300 x-60

=15(x²-20 x)-60

=15(x²-20 x+(-20/2)²-(20/2))-60

=15(x²-20 x+100-100)-60

=15(x²-20x+100)-1500-60

=15(x-10)²-1560

vertex is (10,-1560)

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Pete corporation produces bags of peanuts. It's fixed cost is $18,900. Each bag sells for $2.17 with a unit cost of $1.27. What
pentagon [3]

Answer:

in units: 18,900

in dollars: $ 41,013

Step-by-step explanation:

The break even point is the sales dollar amount or sales in unit at whichthe operating income of the firm equals to zero:\frac{Fixed\:Cost}{Contribution \:Margin} = Break\: Even\: Point_{units }

Where:

\frac{Contribution \: Margin}{Sales \: Revenue} = Contribution \: Margin \: Ratio

<em><u>Contribution margin:</u></em>

2.17 - 1.27 = 1 dollar per unit

Break even:

$18,900 fixed cost /  $1 per unit = 18,900 units

Then, in sales:

18,900 x $2.17 each = 41.013‬

break even point:

3 0
4 years ago
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The ratio of the sides of a triangle is 4:6:9. If the perimeter of the triangle is 95 meters,
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Answer:

45 meters

Step-by-step explanation:

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Units is represented as u.

Sum of all 3 sides= 95 m

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y = 19

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9975 <--- answer.

Hope this helped!

Nate

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