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Answer: The two roots are x = 3/2 and x = -2
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Explanation:
You have the right idea so far. But the two numbers should be 3 and -4 since
- 3*(-4) = -12
- 3+(-4) = -1
The -1 being the coefficient of the x term.
This means you need to change the -3x and 4x to 3x and -4x respectively. The other inner boxes are correct.
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Refer to the diagram below to see one way to fill out the box method, and that helps determine the factorization.
If we place a 2x to the left of -2x^2, then we need an -x up top because 2x*(-x) = -2x^2
Then based on that outer 2x, we need a -2 up top over the -4x. That way we get 2x*(-2) = -4x
So we have the factor -x-2 along the top
The last thing missing is the -3 to the left of 3x. Note how -3*(-x) = 3x in the left corner and -3*(-2) = 6 in the lower right corner.
We have the factor 2x-3 along the left side.
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The two factors are (2x-3) and (-x-2) which leads to the factorization (x+3)(-x+2)
The last thing to do is set each factor equal to 0 and solve for x
- 2x-3 = 0 solves to x = 3/2 = 1.5
- -x-2 = 0 solves to x = -2
The two roots are x = 3/2 and x = -2
The slope of the line can be interpreted that with each additional hour, nearly 18 customers are served; option B
<h3>What is the slope of a line?</h3>The slope of a line is the ratio of climb to that of run
Slope = change in y/change in x
The given graph is a graph of the number of hours an employee spends working a checkout line (x), against the number of customers served (y).
The slope of the graph can be written as follows:
Slope = change in the number of customers served/change in the number of hours an employee spends working
Therefore, the slope of the line can be interpreted that with each additional hour, nearly 18 customers are served.
In conclusion, slope of a line is ratio of change in y to change in x.
Learn more about slope at: brainly.com/question/16949303
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