I think the correct answer is D 1,-3
Answer:
Hey there!
On the horizontal axis, the x-axis, find the point where it says 8.
Then move up to where the y-coordinate is 5.
That is the point (5, 8)
(This basically means- 8 units right and 5 units up)
Let me know if this helps :)
For this case we have the following expression:
x ^ 2 + 15x + 56
We can factor this expression to find the possible dimensions of the rectangle.
Factoring we have:
(x + 7) (x + 8)
Answer:
the possible dimensions are:
(x + 7) * (x + 8)
Lets simplify these equations into slop-intercept form (y=mx+b)
When we do that, the equations turn to
y=-6x/24+10/6 or y=-1/4*x+5/3
y=-2x/8+7/8 or y=-1/4*x+7/8
When you do this, you see that the slope (m) is the same. This means that they are parallel lines. That means these lines will never meet, which means there will be no solution
The solutions for the given quadratic equation are x = -1 and x = 3. So, option B is correct.
<h3>What are the solutions to an equation?</h3>
- The solutions to an equation are the one that satisfies the equation and makes it true.
- There are different methods to solve an equation and find its solutions.
- These solutions are also called zeros or roots of the equation.
<h3>Calculation:</h3>
The given equation is 4x² - 8x - 12 = 0
Since it is a quadratic equation, it has 2 roots or solutions.
On factorizing the given equation,
4x² - 8x - 12 = 0
⇒ 4x² - 12x + 4x -12 = 0
⇒ 4x(x - 3) + 4(x - 3) = 0
⇒ (4x + 4)(x - 3) = 0
According to the zero-product rule,
4x + 4 = 0 or x - 3 = 0
So, x = -4/4 = -1 or x = 3
Therefore, the solutions of the given equation are -1 and 3.
So, option B) x = -1 and x = 3 is correct.
Learn more about solving an equation here:
brainly.com/question/25678139
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