Answer:
168 seconds
I edited the answer.
Step-by-step explanation:
To find the the time taken for both lights to flash at the same time, we need to find the lowest common multiple of 28 and 24.
28 x 6 = 168, 24 x 7 = 168
The LCM of 28 and 24 is 168.
So it takes 168 seconds for both lights to flash at the same time.
Answer:
(x, y) (1,5.5) , (2,5.75) (3,5.83) (4,5.875) (5,5.9)
Step-by-step explanation:
The x values lie on the horizontal line and the y values lie on the vertical line.
In order to find the value of y you must substitute the value of x in the equation given and you must plot you graph using the answers you got which I wrote for you.
NOTE:if there's anything you don't understand let me know.
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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
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