$a(x-x_1)(x-x_2)(x-x_3)\\\\x_1=-\sqrt3;\ x_2=\sqrt3;\ x_3=-2;\ a=1\\\\subtitute\\\\(x+\sqrt3)(x-\sqrt3)(x+2)=(x^2-3)(x+2)\\\\=\boxed{x^3+2x^2-3x-6}\to\fbox{B.}$

5 0

2 years ago

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What is the value of the expression?

Lady bird [3.3K]

Answer:

690

Step-by-step explanation:

(323+1715)-(1135+213)

(2038)-(1348)

=690

5 0

2 years ago

Suppose the number of births that occur in a hospital can be assumed to have a Poisson distribution with parameter = the average

arsen [322]

Answer:

0.5372

Step-by-step explanation:

Given that the number of births that occur in a hospital can be assumed to have a Poisson distribution with parameter = the average birth rate of 1.8 births per hour.

Let X be the no of births in the hospital per hour

X is Poisson

with mean = 1.8

the probability of observing at least two births in a given hour at the hospital

= $P(X\geq 2)\\= 1-F(1)\\= 1-0.4628\\= 0.5372$

the probability of observing at least two births in a given hour at the hospital = 0.5372

4 0

2 years ago

Two bags of cement and three bags of sand weigh 68 lbs. Three bags of sand weigh 60 lbs. All bags of cement weigh the same and a

madam [21]

Answer: 4:20

Step-by-step explanation:

60 lbs can be divided into three groups, in this case the bags of sand, so 60 divided by 3 is 20.

Now you have the 8 lbs left. It gets divided into two groups/bags so you would do 8 divided by 2 is 4.

Then for your ratio it is cement to sand which is 4:20. You can write the ratio however way you want or what is required by the question.(fraction bar, ‘to’, or colon ‘:’ )

Hope this helps!

6 0

2 years ago