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ss7ja [257]
3 years ago
9

3x^3y + 12xy − 9x^2y − 36y Rewrite the expression completely factored. Show the steps of your work.

Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
4 0
Factor 3 out of 12:
3x^3y + 3 • 4xy - 9x^2y - 36y

Factor out 3 out of -9:
3x^3y + 3(4xy) + 3 • -3x^2y - 36y

Factor 3 out of -36:
3(x^3y) + 3(4x7) + 3(-3x^2y) + 3(-12)y

Factor 3 out of 3 (x^3y) + 3(-12y):
3(x^2y + 4xy) + 3(-3x^2y) + 3(-12y)

Factor 3 out of 3 (x^3y + 4xy) + 3(-3x^2y):
3(x^2y + 4xy - 3x^2y) + 3(-12y)

Factor 3 out of
3 (x^3y + 4xy - 3x^2y) + 3 (-12y):
3 (x^3y + 4xy - 3x^2y - 12y)
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Answer:

16

Step-by-step explanation:

2/8 is = to 1/4

4/16 is = to 1/4

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2 years ago
3^-4 as a fraction, i need the exact value of this number as a fraction please and thank you :)
Musya8 [376]

Answer:

\frac{1}{81}

Step-by-step explanation:

Using the rule of exponents

a^{-m} = \frac{1}{a^{m} } , then

3^{-4} = \frac{1}{3^{4} } = \frac{1}{81}

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2 years ago
The sum of 4 consecutive integers is 198 what is the fourth number in the sequence
miss Akunina [59]
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3 years ago
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3 0
2 years ago
Let p denote the proportion of students at a particular university that use the fitness center on campus on a regular basis. For
9966 [12]

Answer:

a) P-value = 0.0968

b) P-value = 0.2207

c) P-value = 0.0239

d) P-value = 0.0040

e) P-value = 0.5636

Step-by-step explanation:

As the hypothesis are defined with a ">" sign, instead of an "≠", the test is right-tailed.

For this type of test, the P-value is defined as:

P-value=P(z>z^*)

being z* the value for each test statistic.

The probability P is calculated from the standard normal distribution.

Then, we can calculate for each case:

(a) 1.30

P-value=P(z>1.30) = 0.0968

(b) 0.77

P-value=P(z>0.77) = 0.2207

(c) 1.98

P-value=P(z>1.98) = 0.0239

(d) 2.65

P-value=P(z>2.65) = 0.0040

(e) −0.16

P-value=P(z>-0.16) = 0.5636

7 0
2 years ago
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