A test is worth 60 points. Multiple-choice questions are worth 2 points, and
1 answer:
Answer:
C. The number of multiple-choice questions plus the number of
short-answer questions is 15.
Step-by-step explanation:
This question can be solved using a system of equations.
I am going to say that:
x is the number of multiple-choice questions
y is the number of short-answer questions.
Multiple-choice questions are worth 2 points, and short-answer questions are worth 5 points.
This means that:
The test has 15 questions.
This means that:
.
Which means that option C is the correct answer.
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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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