Using the discriminant of a quadratic equation, it is found that the quadratic equation would have one repeated solution for m = -3.
<h3>What is the quadratic equation?</h3>
The quadratic equation is given as follows:
mx² + 12x - 12.
<h3>What is the discriminant of a quadratic equation and how does it influence the solutions?</h3>
A quadratic equation is modeled by:

The discriminant is:

The solutions are as follows:
- If
, it has 2 real solutions.
- If
, it has 1 real solutions.
- If
, it has 2 complex solutions.
For this problem, the coefficients are:
a = m, b = 12, c = -12.
Hence the discriminant is:
b² - 4ac = 144 + 48m.
We want it to be of 0, hence:
144 + 48m = 0
m = -144/48
m = -3.
More can be learned about the discriminant of a quadratic equation at brainly.com/question/19776811
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Answer:
<u>Given</u>: base = 10.4ft, height = 12.5
Area of octagon = 8(1/2 × b × h)
- 8(1/2 × 10.4 × 12.5)
- 520ft²
Volume of pool = 520ft² × 3ft
Now, 1 cubic ft takes 7.5 gallons to fill.
Therefore, 1560 cubic ft takes,
So, <u>Correct choice</u> - [D] 11,700.
Answer:
x = all real numbers.
Step-by-step explanation:
3 x minus 8 = negative x + 4 (x minus 2)
3x - 8 = -x + 4(x - 2)
3x - 8 = -x + 4x - 8
3x - 8 = 3x - 8
3x - 3x = -8 + 8
0 = 0
Since the result is a true statement, but 0 = 0, x is equivalent to all real numbers.
Hope this helps!
Answer: Option (3)
Step-by-step explanation:
The slope of the given line is

Thus, the answer must be Option (3)