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Shalnov [3]
3 years ago
15

Which statement correctly describes the end behavior of y = 5(x - 2)3 (x -4)3 (x-1) A) The graph rises to the left and falls to

the right. B) The graph falls to the left and rises to the right. C) The graph rises to the left and rises to the right. D) The graph falls to the left and falls to the right.
Mathematics
1 answer:
Kobotan [32]3 years ago
8 0
Lim x→-Infinite y=5(-Infinite-2)^3*(-Infinite-4)^3*(-Infinite-1)
Lim x→-Infinite y=5(-Infinite)^3*(-Infinite)^3*(-Infinite)
Lim x→-Infinite y=5(-Infinite)*(-Infinite)*(-Infinite)
Lim x→-Infinite y=-Infinite
Then end behaviour to the left is that the graph falls

Lim x→Infinite y=5(Infinite-2)^3*(Infinite-4)^3*(Infinite-1)
Lim x→Infinite y=5(Infinite)^3*(Infinite)^3*(Infinite)
Lim x→Infinite y=5(Infinite)*(Infinite)*(Infinite)
Lim x→Infinite y=Infinite
Then end behaviour to the right is that the graph rises

Answer: Option <span>B) The graph falls to the left and rises to the right.</span>

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6(x+2)=-72

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6x+12=-72

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x= -14

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itsa 1200 B

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18) If the straight line y=m X touches the circle (x - 2)^2 + (y - 6)^2 = 4, then m= ......
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Answer:

(8) d. 4/3    (9) a. (X - 4)^2 + (y-4)^2= 25

Step-by-step explanation:

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if m = 4/3 line: y = 4/3 x

perpendicular distance (d) from center of circle to line y = 4/3 x is

d = |((4/3 x 2) + (-1) x 6)| / √((4/3)² + (-1)²) = |(-10/3)| / √(25/9) = (10/3) / (5/3) = 2

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8 0
3 years ago
8) A committee has fifteen members. There are two members that currently serve as the board’s chairman and vice chairman. Each m
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Answer:

The probability is    P(Z) = 0.0064

Step-by-step explanation:

From the question we are told that

  The number of members is  n = 15

Generally the number of ways of selecting two member from the fifteen members is mathematically represented as

       K  =  ^{n}C_2 *  2!

Here C stands for combination hence we will be making use of the combination functionality in our calculator

      K  =  ^{15}C_2 *  2 * 1

=>  K  =  78  *  2 * 1

=>  K  =  156

Gnerally the number of outcome that matches the outcome required by the committee(Which is  reselecting the member who where the chairman and vice chairman of the board ) is   m =  1

Generally the probability of randomly selecting the two members who currently hold the positions of chairman and vice chairman and assigning them to their current positions is mathematically represented as

      P(Z) =  \frac{m}{K}

=>    P(Z) =  \frac{1}{156}

=>    P(Z) =  \frac{1}{156}      

 =>    P(Z) = 0.0064      

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