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photoshop1234 [79]
3 years ago
12

Having trouble with this math problem. I really would like some help

Mathematics
2 answers:
Pavlova-9 [17]3 years ago
5 0
The answer would have to be C because he cannot sell negative hats or infinitely many because he only has 300 to sell in the first place. Answer choice D makes no sense because there is no value of x that is less than zero and greater than 500.
Irina-Kira [14]3 years ago
3 0
Correct option - C

Let's analyse all the options
1. x is greater than or equal to 20.This isn't possible as if x = 20 ,hats would come in negative

2. All real numbers is of course not possible.

3. This makes sense, because the amount will be not in negative and 300 hats has to be sold first.

4.Not possible.As 'x' can't be less than 0 or greater than 500

Hope This Helps You!

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Answer:

The solutions are x = 1.24 and x = -3.24

Step-by-step explanation:

Hi there!

First, let´s write the equation:

log[(x² + 2x -3)⁴] = 0

Apply the logarithm property: log(xᵃ) = a log(x)

4 log[(x² + 2x -3)⁴] = 0

Divide by 4 both sides

log(x² + 2x -3) = 0

if log(x² + 2x -3) = 0, then  x² + 2x -3 = 1 because only log 1 = 0

x² + 2x -3 = 1

Subtract 1 at both sides of the equation

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Using the quadratic formula let´s solve this quadratic equation:

a = 1

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x = [-b± √(b² - 4ac)]/2a

x =  [-2 + √(4 - 4(-4)·1)]/2 = 1.24

and

x = [-2 - √(4 - 4(-4)·1)]/2 = -3.24

The solutions are x = 1.24 and x = -3.24

Have a nice day!

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