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Sergio [31]
3 years ago
12

Y=(x+3)(x-4)(x+1)^2 sulutions? Multiplicity?

Mathematics
1 answer:
Eddi Din [679]3 years ago
7 0

Answer:

Y = (x + 3)(x - 4)(x + 1)^2

Y = (x^2 - x - 12)(x^2 + 2x + 1)

Y = x^4 + 2x^3 + x^2 - x^3 - 2x^2 - x - 12x^2 - 24x - 12

Y = x^4 + x^3 - 13x^2 - 25x - 12

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$1598-$699=$899

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3 years ago
Given g(x)=|-3x+16|, if g(x)=18, find x.
LenaWriter [7]

Answer:

x = - \frac{2}{3} , x = \frac{34}{3}

Step-by-step explanation:

The absolute value function always gives a positive value, however, the expression inside can be positive or negative, that is

- 3x + 16 = 18 or -(- 3x + 16) = 18

Solving

- 3x + 16 = 18 ( subtract 16 from both sides )

- 3x = 2 ( divide both sides by - 3 )

x = - \frac{2}{3}

or

-(- 3x + 16) = 18

3x - 16 = 18 ( add 16 to both sides )

3x = 34 ( divide both sides by 3 )

x = \frac{34}{4}

As a check

Substitute these values into the left side of the equation and if equal to the right side then they are the solutions.

| - 3(- \frac{2}{3} ) + 16 | = | 2 + 16 | = | 18 | = 18 ← True

| - 3(\frac{34}{3} ) + 16 | = | - 34 + 16 | = | - 18 | = 18 ← True

Thus x = - \frac{2}{3} and x = \frac{34}{3} are the solutions

8 0
3 years ago
Read 2 more answers
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