2. what did the graphs show wh1. reflect on what the graphs are suggesting for one equation, two equations, and three equations, and describe your observations. think about the equation as a function f of x and y, for example, x+2y+1=z in the example above. geogebra automatically interprets this way, that is, like z=f(x, y)=x+2y+1 , it isolates z in the equation.

2. what did the graphs show when you entered the second equation?

3. give a simple description of the system

x=0
y=0
z=0

x = 0 can be seen as the constant function x=g(y, z)=0y+0z=0 . of course, you can use geogebra to “observe” the system.

4. give an example with 2 equations as simple as possible with 3 variables (at least 1 being non-linear; keeping z to the one power on both equations) and describe the potential of geogebra to study nonlinear systems. en you entered the second equation?

let soccer = x and golf = y

part a

1st equation: x + y = 125

2nd equation: x = y +45

part b

replace x in the 1st equation with the 2nd one:

y + 45 + y = 125

simplify:

2y + 45 = 125

subtract 45 from each side:

2y = 80

divide both sides by 2:

y = 80/2

y = 40

she plays golf for 40 minutes.

part c

no because she plays soccer for 45 minutes longer than golf 40 +45 =   85 minutes, not 80 minutes.

a box 3 3/4 feet long or 4+ feet.

step-by-step explanation:

no ,sorry if you needed it but you can ask and try to see if any one will anwser ,

step-by-step explanation:

by good luck mark me as brainliest

have a nice day

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for