Which of the following situations represent inductive reasoning? Select all that apply. Harriet notices that her friend eats an apple for lunch every Monday, Wednesday, and Friday. Since today is Friday. Harriet makes a conjecture that her friend will eat an apple for lunch. You notice that all butterflies in your yard are blue and black. Therefore, you decide that all butterflies are blue and black Terance adds the sides of an equilateral triangle and finds the length of the penmeter to be 3 omes the length of one side. He guesses that the penmeter of every equilateral triangle will be three times the length of a side. Kana is writing a list of numbers 4. 8. 12. 16, Her friend Freddy says the next number will be 20.

1.3

step-by-step explanation:

3x2=6   9x+6

bring down the 6 on both sides

6+6=12

12= 9x

divide by 9

12/9 =

1.3 =x

1) 2/5

2) zero=0/1

3) zero=0/2

4) -4/5

5) undefined=3/0

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation:

y = 3x+4

step-by-step explanation:

to find the slope

slope = (y2-y1)/ (x2-x1)

    = (-8-4)/ (-4-0)

    = -12/-4

  = 3

using the slope intercept form of a line

y= mx+b

we know the slope is 3

we know the y intercept is 4 ( the point where it crosses the y axis or x=0)

y = 3x+4