Hi there!

We can use discriminants to determine the value of k for which the equation would have complex solutions. (Those involving i)
If b² - 4ac < 0, then the equation will have complex solutions. Therefore:
Plug in the given values of b and a to solve:
7² - 4(2)(k) < 0
Simplify:
49 - 8k < 0
Solve the inequality:
49 < 8k
6.125 < k
k > 6.125. Anything greater than 6.125 would result in complex solutions.
Answer:


Step-by-step explanation:
Let "a" represent the population.
is the initial population.
is the population at year n.
Since the population decreases 10% each year, that means that each year, the population is 90% of the previous year.
The initial population is 14,000.
Each year fater than, the population is 90% of the population of the previous year, or 0.9 time the population of the previous year.


The x intercept is -3, and the y intercept is -2
Step-by-step explanation:
The equation given is 4x+6y= -12
Rewrite the equation in slope intercept form of y=mx +c where c is the y intercept
y=mx+c
6y=-4x-12
y= -4/6 x -12/6
y=-2/3x -2
c= -2
To get x intercept replace value of y in the equation with 0;
y= -2/3 x -2
0= -2/3 x -2
2= -2/3 x
2*3=-2x
6=-2x
6/-2 =x
-3 =x
x intercept is -3
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Linear equations : brainly.com/question/9994201
Keywords : graph, linear equation, intercepts, plot
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