Since we will be completing the square we need to isolate the x

y-5 = 2x^2 -4x

now we the coefficient of the x^2 to equal 1 so we take 2 as common factor

y-5 = 2(x^2 -2x)

now we'll make it perfect square by adding 2 to both sides

y-5+2=2(x^2-2x+1)

now simplify and convert the right side to squared expression

y-3 = 2(x-1)^2

now isolate the y

y = 2(x-1)^2 +3 that's it

5 0

3 years ago

Witch best describes a triangle acute obtuse right or equlateral

Zanzabum

The answer would be right triangle. Hope that helps! :3

Oh and you spelled which wrong.

6 0

2 years ago

The brain volumes ?( cm cubed cm3?) of 20 brains have a mean of 1083.9 1083.9 cm cubed cm3 and a standard deviation of 122.2 122

Colt1911 [192]

Answer:

Range: (844.9,1333.7)

A brain volume of 1348.3 cm cubed can be considered significantly high.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 1083.9 cm cubed

Standard Deviation, σ = 122.2 cm cubed

Range rule thumb:

This rule state that the the range of data is four times the standard deviation of the data.

$\text{Range} = 4\times \sigma = 4\times 122.2 = 488.8$

Upper Limit:

$\mu + 2\sigma = 1089.3 + 2(122.2) = 1333.7$

Lower limit:

$\mu - 2\sigma = 1089.3 - 2(122.2) = 844.9$

Since, 1348.3 does not lie in the range (844.9,1333.7), a brain volume of 1348.3 cm cubed can be considered significantly high.

6 0

3 years ago