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Rama09 [41]
3 years ago
13

What is the coefficient of x2 in the expansion of (x + 2)^3

Mathematics
1 answer:
galina1969 [7]3 years ago
6 0

Answer:6

Step-by-step explanation:

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A ball is thrown from a height of 105 feet with an initial downward velocity of 9 ft/s. The ball's height h (in feet) after t se
zloy xaker [14]

Answer:

t = 2.28 s

Step-by-step explanation:

h = 105 - 9t - 16t ^ 2

0 ft = 105 ft - 9t -16^t

To find the roots of a quadratic function we have to use the Bhaskara formula , the roots will give us the time it takes to reach zero height

ax^2 + bx + c  = 0

-16^t - 9t + 105 ft = 0 ft

a = -16    b = -9    c = 105

t1 = (-b + √ b^2 - 4ac)/2a

t2 =(-b - √ b^2 - 4ac)/2a

t1 = (9 + √(-9^2 - (4 * (-16) * 105)))/2 * (-16)

t1 = (9 + √(-81 + 6720))/ -32

t1 = (9 + √6639)/ -32

t1 = (9 + 81.84)/ -32

t1 = 90.84 / -32

t1 = -2.83 s

t2 = (9 - √(-9^2 - (4 * (-16) * 105)))/2 * (-16)

t2 = (9 - √(-81 + 6720))/ -32

t2 = (9 - √6639)/ -32

t2 = (9 - 81.84)/ -32

t2 = -72.84 / -32

t2 = 2.28 s

we have two possible values, we are only going to take the positive one, beacause we are talking about time

t2 = 2.28 s

3 0
3 years ago
If (a^3+27)=(a+3)(a^2+ma+9) then m equals
Ronch [10]

Answer:

m = - 3

Step-by-step explanation:

a³ + 27 ← is a sum of cubes and factors in general as

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a³ + 27

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= (a + 3)(a² - 3a + 9)

comparing a² - 3a + 9 to a² + ma + 9, then

m = - 3

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Write an addition fact that will give the same sum as 8+7
ahrayia [7]
You could do 5+10 or 12+3
4 0
3 years ago
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Solve for S.<br> 4s-28=4
lina2011 [118]

Answer: s = 8

Step-by-step explanation:

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