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:
-2x-6
Step-by-step explanation:
-2(×+3)
-2x-2.3
-2x-6
Answer:
A. 2/5
B. 1/10
Step-by-step explanation:
First off we need to calculate the probability that the chosen child is a girl So to calculate this probability, we have to know the num. of girls which is seen in the table. There are a total of 8 girls.
Therefore the probability of a girl being chosen is equivalent to the number of girls/exact number of children = 8/20 = 2/5 simplified.
Now to find the probability that the chosen girl is left-handed.
The amount of left-handed girls there is only 2. therefore the probability of selecting a left-handed girl will be 2/20 = 1/10 simplified.
(a - b)⁴ = a⁴ - 4a³b + 6a²b² - 4ab³ + b⁴
(a + b)⁴ = a⁴ + 4a³b + 6a²b² + 4ab³ + b⁴
Then
(a - b)⁴ - (a + b)⁴ = - 8a³b - 8ab³
… = -8ab (a² + b²)
… = -8 (∛100 - ∛10 + 1) (1 + ∛10)
… = -8 (∛100 + ∛1000 - ∛10 - ∛100 + 1 + ∛10)
… = -8 (∛1000 + 1)
… = -8 (10 + 1)
… = -8 • 11
… = -88