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MakcuM [25]
3 years ago
11

Multiply the polynomials (5x^2+4x-4)(4x^3-2x+6) Explain your steps!!

Mathematics
1 answer:
Lapatulllka [165]3 years ago
4 0
So distribute using distributive property
a(b+c)=ab+ac so

split it up
(5x^2+4x-4)(4x^3-2x+6)=(5x^2)(4x^3-2x+6)+(4x)(4x^3-2x+6)+(-4)(4x^3-2x+6)=[(5x^2)(4x^3)+(5x^2)(-2x)+(5x^2)(6)]+[(4x)(4x^3)+(4x)(-2x)+(4x)(6)]+[(-4)(4x^3)+(-4)(-2x)+(-4)(6)]=(20x^5)+(-10x^3)+(30x^2)+(16x^4)+(-8x^2)+(24x)+(-16x^3)+(8x)+(-24)
group like terms
[20x^5]+[16x^4]+[-10x^3-16x^3]+[30x^2-8x^2]+[24x+8x]+[-24]=20x^5+16x^4-26x^3+22x^2+32x-24

the asnwer is 20x^5+16x^4-26x^3+22x^2+32x-24




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A bag contains 7 red marbles, 5 yellow marbles, 6 blue marbles, 4 green marbles, and 3 orange marbles. What is the probability o
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The probability of randomly selecting a yellow marble out of the bag is \frac{1}{5}

Step-by-step explanation:

A bag contains:

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  • 3 orange marbles

We need to find the probability of randomly selecting a yellow marble out of the bag

Probability is the ratio of number of favorable outcomes to the total number of possible outcomes P(A) = \frac{n(A)}{n(outcoms)}

∵ A bag contains 7 red marbles, 5 yellow marbles, 6 blue

   marbles, 4 green marbles, and 3 orange marbles

- Add all the color to find the number of total marbles

∴ n(all) = 7 + 5 + 6 + 4 + 3 = 25

∵ There are 5 yellow marbles

∵ P(yellow) = \frac{n(yellow)}{n(all)}

∴ P(yellow) = \frac{5}{25}

- Divide up and down by 5 to simplify the fraction

∴ P(yellow) = \frac{1}{5}

The probability of randomly selecting a yellow marble out of the bag is \frac{1}{5}

Learn more:

You can learn more about the probability in brainly.com/question/9178881

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If 3(r+300)=6 then find the value of r+300-2
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Step-by-step explanation:

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Now we want to find

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a crew is made up of 20 men; the rest are women. 66 2/3% of the crew are men. How many people are in the crew? Show the work plz
liberstina [14]

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Hope this helps!


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The CEO of a local tech company wants to estimate the proportion of employees that are pleased with the cleanliness of the break
Zigmanuir [339]

Answer:

Methods of obtaining a sample of 600 employees from the 4,700 workforce:

Part A:  The type of sampling method proposed by the CEO is Convenience Sampling.

Part B: When there are equal number of participants in both campuses, stratification by campus would give a more precise approximation of the proportion of employees who are satisfied with the cleanliness of the breakrooms than stratification by gender.  Another method to ensure that stratification by campus gives a more precise approximation of the proportion of employees who are satisfied with the cleanliness of the breakrooms than stratification by gender is to ensure that the sample is proportional to the proportion of each campus to the whole population or workforce.

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Stratified sampling  is more accurate and representative of the population.  It reduces sampling bias.  The difficulty arises in choosing the characteristic to stratify by.

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