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Archy [21]
3 years ago
9

How do I factor 2x^3−18x and x ^3+6x^2+8x

Mathematics
1 answer:
Nana76 [90]3 years ago
4 0

Answer:

2x(x − 3)(x + 3)

x(x + 4)(x + 2)

Step-by-step explanation:

2x³ − 18x

x(2x² − 18)

2x(x² − 9)

2x(x − 3)(x + 3)

x³ + 6x² + 8x

x(x² + 6x + 8)

x(x + 4)(x + 2)

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a group of 169 students needs to be seated in the square formation for a yearbook photo how many students should be in each row
andriy [413]
13 students per row
13 rows total
(169\13=13)
5 0
3 years ago
Two times a number puls three equals one half of the number plus 30. What is the number
Masja [62]

Answer:18

Step-by-step explanation:2(18)+3=1/2(18)+30

36+3=9+30

39=39

7 0
3 years ago
Evaluate (mn)(x) for x = - 3.<br> (mn)(-3) =
liubo4ka [24]

Answer:

-3mn

Step-by-step explanation:

It seems you might be missing some of the question, as you haven't given what m and n are equal to.

If the question has just given you x, then you would simply just simplify it to get -3mn.

6 0
3 years ago
Read 2 more answers
A food processor packages orange juice in small jars. The weights of the filled jars are approximately normally distributed with
Ratling [72]

Answer:

P(X>10.983)=P(\frac{X-\mu}{\sigma}>\frac{10.983-\mu}{\sigma})=P(Z>\frac{10.983-10.5}{0.3})=P(z>1.61)

And we can find this probability using the complement rule and with excel or the normal standard table:

P(z>1.61)=1-P(z

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:

X \sim N(10.5,0.3)  

Where \mu=10.5 and \sigma=0.3

We are interested on this probability

P(X>10.983)

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X>10.983)=P(\frac{X-\mu}{\sigma}>\frac{10.983-\mu}{\sigma})=P(Z>\frac{10.983-10.5}{0.3})=P(z>1.61)

And we can find this probability using the complement rule and with excel or the normal standard table:

P(z>1.61)=1-P(z

8 0
3 years ago
tanya purchased 4 hamners for $11.00 each and 7 scewdrivers for $6.65 each write an expresion for the total cost of the tools.th
rewona [7]
X=numbers of hammers
y=numbers of  scewdrivers
f(x,y)= total cost in $

f(x,y)=11x+6.65y

f(4,7)=4(11)+6.65(7)=44+46.55=90.55

Sol: an expresion for the total cost of the tools is f(x,y)=11x+6.65 y; 
x=number of hammers
y= number of  scewdrivers.
The total cost is $90.55
7 0
3 years ago
Read 2 more answers
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