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:
Given
Billy's Marble = x
Required
Determine a,b and c
a. Charlie's Marble
"5 more" means 5 + or + 5
Since Billy's Marble is represented with x, then Charlie's Marbles will be
b. Danny's Marbles
Having "8 fewer" means we have to subtract 8 from Billy's marble;
Since Billy's Marble is represented with x, then Danny's Marbles will be
c. Eric Marbles
Having "three times as " means we have to multiply Bill's marble by 3;
Since Billy's Marble is represented with x, then Danny's Marbles will be
It should be noted that the relationship is not linear based on the information illustrated as the difference between the numbers aren't the same.
<h3>How to illustrate the information?</h3>
It should be noted that an equation is simply used to illustrate and express the relationship between the variables.
It should be noted that for the relationship to be linear, it's essential that they've the same relationship between them.
When x = 1, y = 4.5. The
When x = 2, y = 6.5
When x = 3, y = 8.5
When x = 4 y = 11.5
It should be noted that there's a difference of 2 at first but between 3 and 4, there is. a difference of 3.
Therefore, the relationship is not linear.
Learn more about equations on:
brainly.com/question/2972832
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Answer: 80 ft²
Step-by-step explanation:
The area of a trapezoid is one half the product of the height and the sum of the lengths of the bases.
(6 + 10) * 0.5 * 10 = 80 (ft²)
