Answer:
x=9
Step-by-step explanation:
7x-11 = 4x-2
7x-4x=11-2
3x=9
x=9
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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For an instance, i stands for the money that you have, and b stands for the money that brother has.
An equation system based on the problem would be
i + b = 42 (equation 1)
i = 3b (equation 2)
Use substitution method to solve the problem
substitute 3b into i in the equation 1
i + b = 42
3b + b = 42
4b = 42
b = 42/4
b = 10.5
substitute the value of b into the equation 1
i = 3b
i = 3(10.5)
i = 31.5
You have $31.5 and your brother has $10.5
Answer:
Point A: quadrant 1
Point B: either quadrant 1 or 4
Point C: quadrant 4
Point D: either quadrant 3 or 4
Point E: quadrant 2
Point F: quadrant 2
Step-by-step explanation:
Answer:
29.9
Step-by-step explanation:
Divide the earnings by the time.
179.4/6 = 29.9
418.6/14 = 29.9
867.1/29 = 29.9