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sergey [27]
3 years ago
6

Factor 21x^3 y^2 – 3x^2y + 75x^4

Mathematics
1 answer:
malfutka [58]3 years ago
6 0
The greatest common factor is 3x². The rest doesn't factor.
  21x³y² -3x²y +75x⁴ = 3x²(7xy² -y +25x²)
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2. Jessica's financial advisor believes that she should spend no more than 28% of her gross monthly income for housing. She has
scoray [572]

Jessica's annual salary is $68571.43.

Data;

  • percentage saved for housing = 28%
  • amount saved annually = $1600

<h3>Percentage</h3>

This is the ratio of a number to the entire value and multiplied by 100

The percentage set aside for housing is given as 28% which is $1600.

Let find 28% of x which is equal to 1600

\frac{28}{100} = \frac{1600}{x}

cross multiply both sides and solve for x

\frac{28}{100}  = \frac{1600}{x}\\ 28*x  = 100*1600\\28x = 160000\\

Divide both sides by the coefficient of x

\frac{28x}{28} = \frac{160000}{28}\\ x = 5714.28

Her monthly income is $5714.28.

Let's multiply this by 12 (months in a year) to determine her gross monthly income.

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From the above calculations, Jessica's annual salary is $68571.43.

Learn more on percentage here;

brainly.com/question/25567167

3 0
2 years ago
What is the greatest common factor of the two expressions?<br> 7a^2<br> 8a^3b^2
Andreyy89

Answer:

a²

Step-by-step explanation:

(see attached for reference)

We can find GCF by expressing each expression into their prime factors

7a² = 7 x a x a

8a³b² = 8 x a x a x a x b x b

by observation, we can see that a x a or a² shows up in both expressions, highlighted in bold here:

7a² = 7 x <em>a x a</em>

8a³b² = 8 x <em>a x a</em> x a x b x b

Hence the greatest common factor is a x a = a²

6 0
3 years ago
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