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3 years ago

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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Step-by-step explanation:

Given

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Divide both sides by 2

2|x-3|/2=12/2

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x-3=±6

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2)x-3=-6

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**NOTE**: need to check each solution whether or not they are suitable

Hope this helps!! :)

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2 years ago

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2 years ago

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Answer:

Step-by-step explanation:

| -18 + 1|

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Option C

Monthly loan payment is $ 93.33

Solution:

From given question,

Cost of sailboat = $ 3000

Down payment = $ 1000

Hence net principal is given as:

net principal = p = $ 3000 - $ 1000 = $ 2000

p = $ 2000

The bank approved a simple interest flat rate loan for 2 years at 6% APR

Hence number of years = 2 years

Rate of interest = 6 %

Let us first calculate the simple interest

The formula for simple interest is given as:

$\text{ simple interest } = \frac{ p \times n \times r}{100}$

Substituting the given values,

$\text{ simple interest } = \frac{ 2000 \times 2 \times 6}{100}\\\\\text{ simple interest } = 20 \times 2 \times 6 = 240$

Thus simple interest = $ 240

Total amount payable = principal + simple interest

Total amount payable = $ 2000 + $ 240

Total amount payable = $ 2240

How much are the monthly loan payments?

Here number of years = 2 years

To calculate the monthly payment divide the total amount payable by 24 (since 2 year = 24 months )

$\text{ Monthly loan payment } = \text{ Total amount payable } \div 24$

$\text{ Monthly loan payment } = \frac{2240}{24} = 93.33$

Thus monthly loan payment is $ 93.33 Option C is correct

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2 years ago