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blondinia [14]
3 years ago
15

Simplify -3x^3(2x^2+3)+9x^4

Mathematics
1 answer:
SIZIF [17.4K]3 years ago
3 0

Answer:

ANSWER = −6x^5 +9x^4 − 9x^3

Step-by-step explanation:

Let's simplify step-by-step.

(−3x^3) (2x^2 + 3) + 9x^4

Distribute:

=(−3x^3) (2x^2) + (−3x^3) (3) + 9x^4

=−6x^5 + − 9x^3 + 9x^4


Answer:

= −6x^5 +9x^4 − 9x^3


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What is the lcm of 5,6, and 7
BigorU [14]
The least common multiple (LCM) of 5, 6, and 7 is 210. 

5 × 42 = 210
6 × 35 = 210
7 × 30 = 210
7 0
3 years ago
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1200-5(3x+30)=600 show the steps to solve this problem
Romashka [77]

Answer:

x=+30

Step-by-step explanation:

1200-5(3x+30)=600

We move all terms to the left:

1200-5(3x+30)-(600)=0

We add all the numbers together, and all the variables

-5(3x+30)+600=0

We multiply parentheses

-15x-150+600=0

We add all the numbers together, and all the variables

-15x+450=0

We move all terms containing x to the left, all other terms to the right

-15x=-450

x=-450/-15

x=+30

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3 years ago
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Which expression is equivalent to 1/3(12x+6x-21)
marin [14]

Answer:

6x-7

Step-by-step explanation:

\frac{1}{3} (12x + 6x -21)

break it into pieces

\frac{1}{3}*12x = 4x

\frac{1}{3}*6x=2x

\frac{1}{3} *-21=-7

put it all together

*since there's no negative in front  of the other numbers except 7 they're positive so you add them*

4x + 2x - 7

simplify

6x - 7

4 0
3 years ago
Halp ha;lp[ plsplpsapdk
Julli [10]

Answer:

A^1 = (-3, 10) B^1 = (6, 8) C^1 = (9,-2)

Step-by-step explanation:

Since you are moving vertically just add 4 to the y value

6 0
2 years ago
An intelligence test that has a maximum completion time of 45 minutes was recently administered to a group of 9 people. Their re
Ede4ka [16]

Answer:

a) \bar X=39.9

b) Median =40

c) Bimodal distribution 40,45 with a frequency of 2 for each one

Step-by-step explanation:

Part a

The statistical mean refers "to the mean or average that is used to derive the central tendency of the data in question. It is determined by adding all the data points in a population and then dividing the total by the number of points". And is defined:

\bar X =\frac{\sum_{i=1}^n x_i}{n}

And for this case if we apply this formula we got:

\bar X =\frac{45+40+42+39+44+40+45+33+21}{9}=39.9

Part b

The median is a "measure of central tendency. To find the median, we arrange the observations in order from smallest to largest value. And we have two possible cases:

1) If there is an odd number of observations, the median is the middle value. 2) If there is an even number of observations, the median is the average of the two middle values."

So if we order the dataset we got:

31,33,39,40,40,42,44,45,45

Since we have an odd number of observation n=9, the median would be just the middle value on position 5 and for this case Median =40

Part c

The mode of a set of data values is the value that appears most often. As a set of data can have more than one mode, the mode does not necessarily indicate the centre of a data set.

For this case we have a bimodal distribution and the corresponding values are 40 and 45 with a frequency of 2 for each one.

8 0
3 years ago
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