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NISA [10]
3 years ago
14

Write v = 2x2 + 12x +1 in vertex form.

Mathematics
2 answers:
Savatey [412]3 years ago
6 0

Answer:

C

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

Given

y = 2x² + 12x + 1

To express in vertex form use the method of completing the square.

The coefficient of the x² term must be 1 , thus factor out 2 from 2x² + 12x

y = 2(x² + 6x) + 1

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

y = 2(x² + 2(3)x + 9 - 9) + 1

  = 2(x + 3)² - 18 + 1

  = 2(x + 3)² - 17 → C

rosijanka [135]3 years ago
5 0

Answer:

answer : C    2(x-3)²-17

Step-by-step explanation:

hello :

answer : C    2(x-3)²-17

calculate :   2(x-3)²-17 = 2(x²-6x+9)-17 = 2x²-12x+18-17

                  2(x-3)²-17 = 2x²-12x+1.....(right)

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Answer:

0.9115 is the proportion of paint cans that contain less than 5.54 ml of the dye.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 5 ml

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We are given that the distribution of amount of dye dispensed is a bell shaped distribution that is a normal distribution.

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z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P(paint cans contain less than 5.54 ml of the dye)

P( x < 5.54) = P( z < \displaystyle\frac{5.54 - 5}{0.4}) = P(z < 1.35)

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3 years ago
MICHAEL and Kevin are running. Kevin gets a 3 mile head start and runs at a rate of 5.5 miles per hour.  Michael runs at a rate
dlinn [17]
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4 0
3 years ago
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Step-by-step explanation:

<u>Step 1:  Answer the question</u>

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jek_recluse [69]

Answer:

22.97

Step-by-step explanation:

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8 0
3 years ago
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