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3 years ago

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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3 years ago

Read 2 more answers

BRAINLIEST ASAP! LENGTH OF AC?

Levart [38]

Answer:

2.33 units

Step-by-step explanation:

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3 years ago

Darlene has a balance of $3980 on a credit card with an APR of 22.8%. Paying off her balance in which of these lengths of time w

inna [77]

Answer:

The correct answer is D. 5 months

Step-by-step explanation:

Balance = P = $3980

Rate (r) = 22.8% ,

n is no. of times interest is calculated in one year n = 1

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$\textbf{time = t = 9 months = }\frac{9}{12}\text{ years}\\\\Interest=3980\cdot (1+\frac{22.8}{1\times 100})^{1\times \frac{9}{12}}\\\\Interest=3980\times 1.228^{\frac{9}{12}}\\\\\implies Interest=\$\thinspace 4642.82\\\\\textbf{time = t = 5 months = }\frac{5}{12}\text{ years}\\\\Interest=3980\cdot (1+\frac{22.8}{1\times 100})^{1\times \frac{5}{12}}\\\\Interest=3980\times 1.228^{\frac{5}{12}}\\\\\implies Interest=\$\thinspace 4335.60$

Hence, the least amount of interest is paid in time length of 5 months

So, Correct Option is D. 5 months

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3 years ago

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aleksley [76]

Answer:

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Step-by-step explanation:

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4 years ago

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