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adelina 88 [10]
4 years ago
5

3(x^2+4x)+4(y^2-2y)=32

Mathematics
1 answer:
nekit [7.7K]4 years ago
5 0

Answer:

3x^2 + 12x + 4y^2 - 8y = 32

Step-by-step explanation:

3(x^2+4x)+4(y^2-2y)=32

At first we have to break the parenthesis to get the variables in normal position. To break those, we have to multiply each with the help of algebraic expression:

or, (3*x^2) + (3 × 4x) + (4 × y^2) - (4 × 2y) = 32

or, 3x^2 + 12x + 4y^2 - 8y = 32

Since the equation does not have anything to add or deduct, therefore, it is the answer.

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In a doctor's waiting room, there are 14 seats in a row. Eight people are waiting to be seated. Three of the 8 are in one family
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So 5 people and (3) could be considered as 6 entities:

Since the order matters, we have to use permutation:

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Another way to solve this problem is as follow:

5 + (3) people are considered (for the time being) as 6 entities:

The 1st has a choice among 14 ways
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The 4th has a choice among 11 ways
The 5th has a choice among 10 ways
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But the 3 (that formed one group) could seat among themselves in 3!
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g Use the counting principle to determine the number of elements in the sample space. The possible ways to complete a multiple-c
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Answer:

(4)^{20}

Step-by-step explanation:

Total number of questions = 20

Possible options for each question = 4

Sample space contains the total number of possible outcomes.

For every question there are 4 possible ways to select an answer. This holds true for all 20 questions. Selecting an answer for a question is independent of other questions/answers,

According to the counting principle, the total number of possible outcomes will be the product of the number of possible outcomes of individual events. Possible outcomes for each of the 20 questions is 4. This means we have to multiply 4 twenty times to find the total number of possible outcomes.

So, the number of elements in the sample space would be:

(4)^{20}

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3 years ago
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