Answer:
2
Step-by-step explanation:
Using the discriminant, the quadratic equation that has complex solutions is given by:
x² + 2x + 5 = 0.
<h3>What is the discriminant of a quadratic equation and how does it influence the solutions?</h3>
A quadratic equation is modeled by:
y = ax² + bx + c
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.
In this problem, we want a negative discriminant, hence the equation is:
x² + 2x + 5 = 0.
As the coefficients are a = 1, b = 2, c = 5, hence:

More can be learned about the discriminant of quadratic functions at brainly.com/question/19776811
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Ln 30 + ln 2 - ln 12
ln (30 * 2) - ln 12 (when there is a + between ln you can multiply the numbers)
ln 60 - ln 12
ln (60/12) (the - sign says to divide the numbers)
ln 5 - final answer
What do you need help with
By the decrease of 17% in the mileage of Jack's car, the new mileage is only 83% of the previous mileage. To get the current mileage, we multiply the mileage by the percentage. That is,
new mileage = (41 mpg)(0.83)
= 34.03 mpg
Thus, the car's mileage in the headwind is only 34.03 mpg.