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bija089 [108]
2 years ago
6

Factor completely 9x^4y − 6x^3y^2 + 3x^2y^3.

Mathematics
1 answer:
IRINA_888 [86]2 years ago
7 0
The answer is A because if you factor out 3x^2y, you get 3x^2 - 2xy + y^2 and you cannot factor that out anymore
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Can someone help? 25 points
tigry1 [53]

Answer:

Triangle A: acute

Triangle B: acute

Triangle C: obtuse

Triangle D: right

Step-by-step explanation:

acute= less than 90 degrees each angle

obtuse=more than 90 degrees for one angle

right=equal exactly 90 degrees for one angle

5 0
2 years ago
Read 2 more answers
Which of the following expressions is equal to 3x^2 + 27
Kisachek [45]
Factor: 
3x^2 + 27
= 3(x^2  + 9)
Answer is 3(x^2 + 9), when factored.


A) (3x + 9i)(x + 3i)
= (3x + 9i)(x + 3i)
= (3x)(x) + (3x)(3i) + (9i)(x) + (9i)(3i)
= 3x^2 + 9ix + 9ix + 27i^2
= 27i^2 + 18ix + 3x^2



B) (3x - 9i)(x + 3i)
= (3x +  - 9i)(x + 3i)
= (3x)(x) + (3x)(3i) + ( - 9i)(x) + (- 9i)(3i)
= 3x^2 + 9ix - 9ix - 27i^2
= 27i^2 + 3x^2


C) (3x - 6i)(x + 21i)
= (3x +  - 6i)(x + 21i)
= (3x)(x) + (3x)(21i) + (- 6i)(x) + ( -6i)(21i)
= 3x^2 + 63ix - 6ix - 126i^2
=  - 126i^2 + 57ix + 3x^2






D) (3x - 9i)(x - 3i)
=  (3x +   - 9)(x +  - 3)
= (3x)(x) + (3x)( - 3i) + (- 9)(x) + ( - 9)( - 3i)
= 3x^2 - 9ix - 9x + 27i
= 9ix + 3x^2 + 27i - 9x









Hope that helps!!!

8 0
3 years ago
Read 2 more answers
g A random sample of 100 students was taken. Eighty-five of the student in the sample experienced anxiety during the exam. We ar
BaLLatris [955]

Answer:

The test statistic is z = 1.25

Step-by-step explanation:

We are interested in determining whether or not the proportion of the student who experience anxiety during the exam is significantly more than 80%.

At the null hypothesis, we test if the proportion is 80%, that is:

H_0: p = 0.8

At the alternate hypothesis, we test if the proportion is more than 80%, that is:

H_a: p > 0.8

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

80% is tested at the null hypothesis:

This means that \mu = 0.8, \sigma = \sqrt{0.2*0.8} = 0.4

A random sample of 100 students was taken. Eighty-five of the student in the sample experienced anxiety during the exam.

This means that n = 100, X = \frac{85}{100} = 0.85

The test statistic is

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{0.85 - 0.8}{\frac{0.4}{\sqrt{10}}}

z = 1.25

The test statistic is z = 1.25

4 0
3 years ago
The sales tax in the town where Amanda lives is 8%. Amanda paid $40 in sales tax on a new stereo. What was the price of the ster
dusya [7]
$500, 40 divided by 8=5, 5x100= 500
6 0
2 years ago
HELP^^ LOOK AT THE PICTURE. this is algebra in & out tables ?
s2008m [1.1K]

Answer:

a= 1 , b = 1/16  , c = 1/256 , d= 3/2 , e=4/9  , f= 16/81

Step-by-step explanation:

The first table is given as;

x         4⁻ˣ

-1        4

0        1

2       1/16

4      1/256

a= 1 , b = 1/16  , c = 1/256

The second table is given as;

x             {2/3}^x

-1             3/2

0               1

2              4/9

4              16/81

d= 3/2 , e=4/9  , f= 16/81

5 0
3 years ago
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