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kow [346]
3 years ago
5

Write the polynomial as a product: 15x^3z+30x^2–18yz–9xyz^2

Mathematics
2 answers:
Flauer [41]3 years ago
8 0

15x³z + 30x² - 18yz - 9xyz² =

= 15x³z + 30x² - 9xyz² - 18yz =

= 15x²(xz + 2) - 9yz(xz + 2) =

= (15x² - 9yz)(xz + 2)

Naddik [55]3 years ago
4 0

Answer:

15x^2(xz + 2) - 9yz(2 + xz)

(15x^2 - 9yz)(xz + 2)

3(5x^2-3yz)(xz + 2)

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Help me guys <br> thx so much
navik [9.2K]

Answer:

Option D, 10x^4\sqrt{6} +x^3\sqrt{30x} -10x^4\sqrt{3} -x^3\sqrt{15x}

Step-by-step explanation:

<u>Step 1:  Multiply</u>

<u />(\sqrt{10x^4} -x\sqrt{5x^2} )*(2\sqrt{15x^4} + \sqrt{3x^3})\\ (\sqrt{10 * x^2 * x^2} -x\sqrt{5 * x^2} ) * (2\sqrt{15 * x^2 * x^2} +\sqrt{3 * x^2 * x})\\(x^2\sqrt{10} -x^2\sqrt{5} )*(2x^2\sqrt{15} +x\sqrt{3x}) \\\\

(x^2\sqrt{10}*2x^2\sqrt{15} )+(x^2\sqrt{10}*x\sqrt{3x} ) + (-x^2\sqrt{5} *2x^2\sqrt{15}) + (-x^2\sqrt{5} *x\sqrt{3x}

(2x^4\sqrt{150} ) + (x^3\sqrt{30x}) + (-2x^4\sqrt{75}) + (-x^3\sqrt{15x}  )

2x^4\sqrt{5^2*6} + x^3\sqrt{30x} -2x^4\sqrt{5^2*3} -x^3\sqrt{15x}

10x^4\sqrt{6} +x^3\sqrt{30x} -10x^4\sqrt{3} -x^3\sqrt{15x}

Answer:  Option D, 10x^4\sqrt{6} +x^3\sqrt{30x} -10x^4\sqrt{3} -x^3\sqrt{15x}

6 0
3 years ago
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For a group of 100 people, compute(a) the expected number of days of the year that are birthdays of exactly 3 people.(b) the exp
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Answer:

Step-by-step explanation:

Leaving leap years, a year contains 365 days.

For a group of 100 people, each person is independent of the other and probability of any day being his birthday has a chance of

\frac{1}{365}

a) Probability that  exactly 3 people have same birthday = \frac{1}{365^3}

Each day is independent of the other

And hence no of days having exactly 3 persons birthday out of 100 persons is binomial with n = 365 and p = \frac{1}{365^3}

Expected value of days = np = \frac{1}{365^2}

b) Distinct birthdays is binomail with p =1/365 and n = 365

Hence

expected value = np =1

4 0
3 years ago
help me plz i do not understand and plz DO NOT TAKE MY POINTS BECAUSE I WILL REPORT YOU!!! thank you and you can anser or explan
balu736 [363]
It’s y=x+15 because every x column adds 15 to get y
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3 years ago
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Ira Lisetskai [31]

Answer:

B and D

Step-by-step explanation:

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3 years ago
If 1 inch = 2.5 centimeters, how many centimeters are there in 40 inches
alekssr [168]
100 centimeters . Because 40 × 2.5 = 100
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