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oee [108]
3 years ago
9

Combine like terms: 3p2q2-3p2q3+4p2q3-3p2q2+pq PLEASE HELP!!! ASAP!!!

Mathematics
1 answer:
ch4aika [34]3 years ago
7 0

Answer:

p²q³ + pq and pq(pq² + 1)

Step-by-step explanation:

Given

3p²q² - 3p²q³ +4p²q³ -3p²q² + pq

Required

Collect like terms

We start by rewriting the expression

3p²q² - 3p²q³ +4p²q³ -3p²q² + pq

Collect like terms

3p²q² -3p²q² - 3p²q³ +4p²q³ + pq

Group like terms

(3p²q² -3p²q²) - (3p²q³ - 4p²q³ ) + pq

Perform arithmetic operations on like terms

(0) - (-p²q³) + pq

- (-p²q³) + pq

Open bracket

p²q³ + pq

The answer can be further simplified

Factorize p²q³ + pq

pq(pq² + 1)

Hence, 3p²q² - 3p²q³ +4p²q³ -3p²q² + pq is equivalent to p²q³ + pq and pq(pq² + 1)

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m a t h w a y

Step-by-step explanation:

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2 years ago
Solve for x: 6(4x+5)=3(x+8)+3 round to nearest hundredth
Hitman42 [59]
Solve for x by simplifying both sides of the equation then isolating teh varible.
your answer = - 1/7
3 0
3 years ago
A Monopoly player claims that the probability of getting a 2 when rolling a​ six-sided die is one sixth because the die is equal
Kisachek [45]

Answer:

<h2>It is Theoretical probability.</h2>

Step-by-step explanation:

Theoretical probability determines the likelihood of some incidents to happen.

Theoretical probability is the ratio between the total number of possible outcomes and the desired outcome.

Here, the desired outcome is getting a 2 that is only one desired outcome, where as total possible outcomes are 6. Here, the probability of getting a 2 is \frac{1}{6}.

Empirical probability depends on observance. In the given question, nothing related to observance of the given incident has mentioned, hence it is not empirical probability.

8 0
2 years ago
The ratio of boys to girl in a certain class is 4:7. if there are 33 students in the class, how many of them are girls.
Elden [556K]
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7 0
3 years ago
Kevin installed a certain brand of automatic garage door opener that utilizes a transmitter control with four independent​ switc
s344n2d4d5 [400]

Kevin installed a certain brand of automatic garage door opener that utilizes a transmitter control with four independent​ switches, each one set on or off. The receiver​ (wired to the​ door) must be set with the same pattern as the transmitter. If six neighbors with the same type of opener set their switches​ independently.<u>The probability of at least one pair of neighbors using the same​ settings is 0.65633</u>

Step-by-step explanation:

<u>Step 1</u>

In the question it is given that

Automatic garage door opener utilizes a transmitter control with four independent​ switches

<u>So .the number of Combinations possible with the Transmitters </u>=

2*2*2*2= 16

<u> Step 2</u>

Probability of at least one pair of neighbors using the same settings = 1- Probability of All Neighbors using different settings.

= 1- 16*15*14*13*12*11/(16^6)

<u> Step 3</u>

Probability of at least one pair of neighbors using the same settings=

= 1- 0.343666

<u> Step 4</u>

<u>So the probability of at least </u>one pair of neighbors using the same settings

is  0.65633

3 0
3 years ago
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