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
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
To find the mid point add both X coordinates together and divide by 2 and then do the same with the y coordinates.
X coordinate: 4 + -6 = 4-6 = -2 / 2 = -1
Y coordinate: -2 + 3 = 1 / 2 = 1/2
Midpoint: ( -1, 1/2)
Answer:
x=k/v-w
Step-by-step explanation:
The first w I'm guessing you meant the x? Hope this helped!
Answer:
3x ≥ 45
15, 20 , 25
Step-by-step explanation:
Let's call the number of bars Renee sold as " x "
Let's call the number of bars Robin sold as " y "
Robins, y, sold two times as many bars as Renee, x
That means Robin sold 2 times x or 2x
So y = 2x
The sum of bars Renee, x, and Robin, 2x, sold together are no less than 45
No less than 45 means the number of bars have to be greater than or equal to 45
x + 2x ≥ 45
3x ≥ 45
x ≥ 15
Renee can sell, 15, 20, or 25 bars . (just has to be bigger or equal to 15)
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-Chetan K