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Ad libitum [116K]
4 years ago
13

2.) y = 2(x – 3)² - 6

Mathematics
1 answer:
mote1985 [20]4 years ago
3 0

Answer:

y = 2{x}^{2} - 12x + 12

Step-by-step explanation:

If you are asking to convert from Vertex Form to Standard Form, here is how you do this:

y = 2(x - 3)^{2} - 6 \\ y = 2({x}^{2} - 6x + 9) - 6 \\ y = 2{x}^{2} - 12x + 18 - 6 \\ \\ y = 2{x}^{2} - 12x + 12

I am joyous to assist you anytime.

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How many numbers between 1 and 2005 are integer multiples of 3 or 4 but not 12?
siniylev [52]

Count the number of multiples of 3, 4, and 12 in the range 1-2005:

⌊2005/3⌋ ≈ ⌊668.333⌋ = 668

⌊2005/4⌋ = ⌊501.25⌋ = 501

⌊2005/12⌋ ≈ ⌊167.083⌋ = 167

(⌊<em>x</em>⌋ means the "floor" of <em>x</em>, i.e. the largest integer smaller than <em>x</em>, so ⌊<em>a</em>/<em>b</em>⌋ is what you get when you divide <em>a</em> by <em>b</em> and ignore the remainder)

Then using the inclusion/exclusion principle, there are

668 + 501 - 2•167 = 835

numbers that are multiples of 3 or 4 but not 12. We subtract the number multiples of 12 twice because the sets of multiples of 3 and 4 both contain multiples of 12. Subtracting once removes the multiples of 3 <em>and</em> 4 that occur twice. Subtracting again removes them altogether.

7 0
3 years ago
(7.10; 7.15)
storchak [24]

Answer:

We let x 1 = 13, y 1 = 8, x 2 = 9, y 2 = 6, x 3 = 4, y 3 = 2, x 4 = 8, y 4 = 4 and the area is given by The absolute value of the cross product of two vectors a →, b → ∈ R 3 spanning the parallelogram is its area:

Step-by-step explanation:

7 0
3 years ago
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