Problem:
a non-linear system consists of two functions: f(x)=x²+2x+1 and g(x)=3-x-x². solve this system in two different ways. your choices are: table, graph, or algebraically.

a. make a table of values for the functions. the table may be horizontal or vertical but it must have a minimum of five x-values and the corresponding function values showing each solution, one value lower, one value higher, and one between the two solutions. indicate the solutions by marking the x-values and the corresponding function values that are equal.

b. solve the system algebraically. (hint: set the two functions equal to each other and solve the resulting function.) you should obtain a quadratic equation. solve it either by factoring or using the quadratic formula. give the x-values of the solution set, then evaluate the original function to find the corresponding y-values. give the results as ordered pairs of exact values.

c. plot a graph of the functions over an interval sufficient to show the solutions. you may carefully sketch or plot your graph manually or use desmos or other technology. clearly indicate and label on the graph the x and y values of the solution(s).

Part B. see the procedure

Part C. see the procedure

Step-by-step explanation:

we have

-----> equation A

-----> equation B  

Part B. Solve the system algebraically

equate the equation A and the equation B

The formula to solve a quadratic equation of the form is equal to

in this problem we have

so

substitute in the formula

Find the values of y

For x=0.5

For x=-2

the solutions are the points

(0.5,2.25) and (-2,1)

Part C. Solve the system by graph

using a graphing tool

we know that

The solution of the non linear system is the intersection point both graphs

The intersection points are (0.5,2.25) and (-2,1)

therefore

The solutions are the points (0.5,2.25) and (-2,1)

see the attached figure

3x + 18 = 147°

step-by-step explanation:

3x + 18 = 147°, because the value of the central angle is equal to the value of the arc formed by it.

i hope i you.

describing distributions is one of the key skills you’ll need to earn a high score on the ap statistics exam. if you need proof of this, just flip through some past exam questions, which can be found at the collegeboard website. you’ll notice that the first free response question is almost always a question requiring you to look at a graph and describe it.

step-by-step explanation: just trying to get points sorry : (