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3 years ago

Fr3e points

Mathematics

1 answer:

Romashka-Z-Leto [24]3 years ago

6 0

Answer:

1. her profit was 625,000$

2. Marketing is the action or business of promoting and selling products or services, including market research and advertising

3. this decreased her expenses because she made sure all the operators work and are balanced

4. buy more ingredients, advertise her bakery, hire workers, make a business, but better supplies, and/or add more processing lines

Hope i helped

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The factors of x cube -10x square -53x-42

Verdich [7]

Answer:

$x^3 - 10 x^2 -53x -42 = ( x + 1)(x + 3) (x - 14)$

Step-by-step explanation:

$x^3 - 10x^2 -53x - 42$

The factors of 42 : ±1 , ±2 , ±3 , ±6, ±7, ±14, ±21 , ±42

Using trial and error method we will find the first root of the polynomial.

1 : ( 1 )³ - 10 ( 1 )² - 53 ( 1 ) - 42

1 - 10 - 53 - 42 ≠ 0

Therefore 1 is not a root

-1 : ( -1 )³ - 10 (- 1 )² - 53 (- 1 ) - 42

- 1 - 10 + 53 - 42

53 - 53 = 0

Therefore - 1 is a root of the polynomial.

Therefore ( x + 1) is a factor.

Now by long division or by using synthetic division we can find other factors.

Synthetic Division :

-1 | 1 -10 -53 - 42

| 0 - 1 11 42

|______________________

1 - 11 - 42 0

Therefore ,

$x^3 - 10 x^2 -53x -42 = ( x + 1)(x^2 - 11x +42)$ ------ ( 1 )

Next further factorize x² - 11x - 42

x² - 11x - 42

= x² - 14x + 3x - 42

=x(x - 14) + 3 (x - 14)

=(x + 3 )(x - 14)

Therefore ,

$x^3 - 10 x^2 -53x -42 = ( x + 1)(x + 3) (x - 14)$

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