A teacher gave her class two functions, f(x) =|x+6| – 2 and g(x) = --x^2+10, and asked for the solution(s) of the equation f(x) = g(x).
The answers given by four students are shown below:
Lisa: only 2
Helen: only 6
Brian: 1 and 6
Kevin: -3 and 2
Who found the solution correctly and why?

A. Kevin because the solutions are the x values of the points of intersection of the graphs of f(x) and g(x)
B. Helen because the solutions are the y values of the points of intersection of the graphs f(x) and g(x) but solutions paired with negative x values must be discarded because f(x) is an absolute value function.
C. Brian because the solutions are the y values of the points of intersection of the graphs of f(x) and g(x)
D. Lisa because the solutions are the x values of the points of intersection of the graphs of f(x) and g(x) but the negative solutions must be discarded because f(x) is an absolute value function.

ryan had a head start of 10 meters.

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3

the population of other specie of birds will decline or other specie of birds will find some alternate source of food to survive.

explanation:

according to the competitive exclusion principle, which is also known as gause's law, two specie living in the same niche and feeding on the same resource cannot co-exist stably.

as we have well studied the theory of natural selection which states that only those organisms survive which have better tendency to compete for food and adapt to the environmental conditions.

coming towards the question, what wi ll happen when one species outcompetes the other for the small fish , the other specie will not get enough food and will start to die or decline in population. eventually either other specie needs to find another alternative food source for itself or migrate at some other location where there is less competition otherwise it will just not exist anymore at that niche.

hope it !