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oksian1 [2.3K]
2 years ago
10

If x + 3 is a factor of x3+3x2+ax−12, what is the value of a?

Mathematics
2 answers:
Andrei [34K]2 years ago
7 0

Answer: -4

Step-by-step explanation:

The most simple is

P(x)=x³+3x²+ax-12

P(-3)=0=(-3)³+3*(-3)²+a*(-3)-12=-3a-12

-3a-12=0

3a=-12

a=-4

marissa [1.9K]2 years ago
4 0

Answer:   -4

Step-by-step explanation:

p(x)=x^3+3x^2+ax-12

x+3 is factors means it divide completely so x=-3

p(-3)=(-3)^3+3(-3)^2+a(-3)-12

  -27+27-3a-12=0

 -3a-12=0

3a=-12

a=-12/3

a=-4

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AlexFokin [52]

the answer is

<

because the -4 is less than -7

5 0
2 years ago
(4.1.4) Let X and Y be Bernoulli random variables. Let Z = X + Y. a. Show that if X and Y cannot both be equal to 1, then Z is a
Fynjy0 [20]

Step-by-step explanation:

Given that,

a)

X ~ Bernoulli (p_x) and Y ~ Bernoulli (y_x)

X + Y = Z

The possible value for Z are Z = 0 when X = 0 and Y = 0

and Z = 1 when X = 0 and Y = 1 or when X = 1 and Y = 0

If X and Y can not be both equal to 1 , then the probability mass function of the random variable Z takes on the value of 0 for any value of Z other than 0 and 1,

Therefore Z is a Bernoulli random variable

b)

If X and Y can not be both equal to  1

then,

p_z = P(X=1 or Y=1)\\

p_z = P(X=1)+P(Y=1)-P(=1 and Y =1)

p_z = P(x=1)+P(Y=1)\\\\p_z=p_x+p_y

c)

If both X = 1 and Y = 1 then Z = 2

The possible values of the random variable Z are 0, 1 and 2.

since a  Bernoulli variable should be take on only values 0 and 1 the random variable Z does not have Bernoulli distribution

7 0
2 years ago
What is the volume of the prism below? 12 in 16 in 9 in
Inga [223]

Answer:

1728 units cubed

Step-by-step explanation:

V = LWH
V = 12x16x9
V = 1728

5 0
2 years ago
In a right triangle, if a = 8 and c = 17, what is the correct setup to find the value of b?
salantis [7]

Answer:

b =15

Step-by-step explanation:

We can use Pythagoras theorem to find b:

a^{2}+b^{2} = c^{2}

8^{2} + b^{2} = 17^{2}

64 + b^{2} = 289

64 + 225 = 289

64 + 15^{2} = 289

b = 15

hope this helps :) and sorry if not right

7 0
2 years ago
Read 2 more answers
Standard notation 8.15×10^5​
sukhopar [10]

Answer:

8.15×10^5

Step-by-step explanation:

8.15×10^5

8.15×100000

815000

8 0
3 years ago
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