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dlinn [17]
3 years ago
7

Answer Please first = brainliest only if correct.

Mathematics
1 answer:
Kisachek [45]3 years ago
3 0

Answer:

3x + 2y = 315 -----(1)

2x + 4y = 450 -----(2)

from (1) 3x + 2y = 315

2y = 315-3x

y = 157.5 - 3/2x ---- (3)

substitute (3) into (2)

2x + 4y = 450

2x + 4(157.5 - 3/2x ) = 450

2x + 630 - 6x = 450

-4x = -180

x = 45 ---- (4)

substitute (4) into (3)

y = 157.5 - 3/2x

y = 157.5 - 3/2(45)

y = 90

a haircut,x = 45 minutes

dye hair,y = 90 minutes

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7 0
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Factor the GCF: 9x4y − 6x3y2 3x2y3. 3x2y(3x2 − 2xy y2) 3xy(3x2 − 2xy y2) 3xy2(3x2 − 2xy y2) 3x2y(3x2 2xy y2).
Papessa [141]

The factored form of the equation 9x⁴y - 6x³y² + 3x²y³ is 3x²y(3x²-2xy+y²).

<h3>What is factored form?</h3>

The product of a constant and two linear expressions in factored form. The roots of the function are the parameters and the x-intercepts of the graph. Often Factoring is referred to as the process of converting a quadratic function to factored form.

We need to write the given expression 9x^4y-6x^3y^2 + 3x^2y^3 in the factored form, therefore, we will take the common terms out of the given expression,

1. Taking 3 as the common term, we will get,

9x^4y-6x^3y^2 + 3x^2y^3\\\\= 3 (3x^4y-2x^3y^2 + x^2y^3)

2. Taking x² as the common term

= 3 (3x^4y-2x^3y^2 + x^2y^3)\\\\= 3x^2(3x^2y-2xy^2+y^3)\\\\

3. Taking y as the common term,

= 3x^2(3x^2y-2xy^2+y^3)\\\\= 3x^2y(3x^2-2xy+y^2)\\\\

Hence, the factored form of the equation 9x⁴y - 6x³y² + 3x²y³ is 3x²y(3x²-2xy+y²).

Learn more about Factored Form:

brainly.com/question/25094938

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