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bearhunter [10]
3 years ago
9

G)Find thethe coefficient of y^5 in theexpansion of (3+2y)^6​

Mathematics
1 answer:
hodyreva [135]3 years ago
3 0

Answer:

2

Step-by-step explanation:

A coefficient is a number of times a variable. So in this equation. 2 is being multiplied by y. so 2 is the coefficient.

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If (x+2) is a factor of 3x^2-4kx-4k^2, then find the value(s) of k
IRINA_888 [86]

Answer:

The values of k will be:

k=-1,\:k=3

Step-by-step explanation:

Let the expression of polynomial P be

P\left(x\right)=3x^2-4kx-4k^2

Let the expression if the polynomial Q be

\:Q\left(x\right)=\:\left(x+2\right)\:

Plug in Q(x) = 0

0 = x+2

x = -2

As (x+2) is a factor of 3x²-4kx-4k²

substitute x = -2 in the the polynomial

3x²-4kx-4k² = 0

3\left(-2\right)^2-4k\left(-2\right)-4k^2\:=0

12+8k-4k^2=0

Write in the standard form ax²+bx+c = 0

-4k^2+8k+12=0

Factor out common term -4

-4\left(k^2-2k-3\right)=0

Factor k²-2k-3: (k+1)(k-3)

-4\left(k+1\right)\left(k-3\right)=0

Using the zero factor principle

if ab=0, then a=0 or b=0 (or both a=0 and b=0)

k+1=0\quad \mathrm{or}\quad \:k-3=0

solving k+1=0

k+1 = 0

k = -1

solving k-3=0

k-3=0

k = 3

Thus, the values of k will be:

k=-1,\:k=3

4 0
2 years ago
Dianna has 4 quarters, 3 dimes, and 3 nickels in her purse. She reaches into her purse and randomly grabs two coins, one at a ti
Galina-37 [17]
<span> At the beginning there are 3 dimes out of 10 coins:
P(first coin is a dime) = 3/10

After that there are 3 nickels out of 9 remaining coins:
P(second coin is a nickel) = 3/9 = 1/3

P(dime, then nickel) = P(first coin is a dime) x P(second coin is a nickel)
= 3/10 x 1/3
= 1/10

Answer:
1/10  . if im wrong im sorry </span>
<span />
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3 years ago
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liubo4ka [24]

Answer:

i think 7% but i could be wrong

Step-by-step explanation:

sorry if im wrong :(

8 0
2 years ago
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A conveyor belt moves at a constant rate of 12 feet in 3 seconds. A second conveyor belt moves at a constant rate of 21 in 7 sec
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Answer:

No.

Step-by-step explanation:<u> If we look at the first conveyor belt, the rate is 12ft in 3 seconds, or 4 feet a second. The second conveyor belt moves at 21 feet in 7 seconds, or 3 feet a second. Since the two values are unequal, we can conclude it is not a proportional relationship. </u>

6 0
2 years ago
If it took eight men ten hours to build a wall, how many hours would it take four men to build it?
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Hope this helps have a nice day
4 0
3 years ago
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