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
Answer:
Step-by-step explanation:
p + n + d + q = 25
Put everything into quarters.
p and q are equally likely to be drawn
q + n + d + q = 25
There are 3 times as many nickels as quarters
n = 3q
q + 3q + d + q = 25
There is 25% more dimes than quarters.
d = 1.25 q
q + 3q + 1.25q + q = 25
6.25 q = 25
q = 25/6,25
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q = 4
p = 4
d = 1.25 * 4 = 5
n = 12
Answer:
Step-by-step explanation:
y = mx +b
Here , m is the slope and b is the y-intercept
y = (1/2)x - 3
y-intercept = -3
Answer: 0.1
Step-by-step explanation: you only need to add zero to the first value,
for example if you have 1/10, you add zero, getting the next equation
10/10 if you add a zero to value you can add a zero to the result getting the following result
10/10=0. in this point both values are divisible
and 10 between 10 is equal to 1
as you finish add zeros you can add a point and after the 1 getting this result
1/10 = 0.1
Y-4=5(x-6)
y-4=5x-30
5x-y=26
5x+(-1)y=26