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Dvinal [7]
3 years ago
10

Y=2x^2+12x+14 in vertex form

Mathematics
1 answer:
balandron [24]3 years ago
4 0

Answer:

y = 2(x + 3)² - 4

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Using the method of completing the square

y = 2x² + 12x + 14 ← factor out 2 from the first 2 terms

  = 2(x² + 6x) + 14

To complete the square

add/subtract ( half the coefficient of the x- term)² to x² + 6x

y = 2(x² + 2(3)x + 9 - 9 ) + 14

  = 2(x + 3)² - 18 + 14

  = 2(x + 3)² - 4 ← in vertex form

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The manufacturer's price for a cooler is $28.50 A camping store that buys the coolers sells them for $40.76 What is the approxim
Nutka1998 [239]

The percent of the increase is

I=\frac{N-O}{O}\times100

I is the increasing value

N is the new value

O is the original value

The price of the cooler is $28.50, then

O = 28.50

The selling price of the cooler is $40.76, then

N = 40.76

We will substitute them in the rule above to find I

I=\frac{40.76-28.50}{28.50}\times100

Let us calculate it

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Round it to the nearest percent

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6 0
1 year ago
What is the equation of the line that is parallel to the line 5x + 2y = 12 and passes through the point (−2, 4)?
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First find the slope of the given line like this:
5x + 2y = 12\\2y=-5x+12\\y=\frac{-5}{2}x+6
If two lines are parallel, then they have the same slope, so the equation we are looking for is in the form:
y=\frac{-5}{2}x+a and we have to find b using the given point like this:
Substitute x = -2 and y=4 in the above equation like this and solve for a:
4=\frac{-5}{2}(-2)+a 
4=5+a 
a=4-5=-1 
The equation of the line is then the following:
y=\frac{-5}{2}x-1.
3 0
3 years ago
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zepelin [54]
79,350 cm

Explanation:

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Can anyone help me with this?
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Answer:

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Step-by-step explanation:

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