You are watching a pitcher who throws two types of pitches, a fastball (f) and a curveball (c). the order of the pitches thrown so far is f, c, f, f, c, f, f, f, c. assuming that the pattern continues, predict the next five pitches. (enter your answers as a comma-separated list.)

F,F,F,F,C.

Step-by-step explanation:

From the pattern, we can understand that the pitcher will never throw consecutive curveballs.

Now, for the fastball counter, we use two values to help us estabilish the pattern.

v1 is the number of curveballs the pitcher has thrown. v1 starts at zero, and for each curveball, it is incremented.

v2 is the number of consecutive fastballs the pitcher has thrown. For each fastball throw, this value is incremented. Each time v2 = v1+1, the pitcher will throw a curveball and v2 will be set to zero.

So, from the start of the pattern.

v1 = 0, v2 = 0

F -> v2 = 1

v2 = v1+1, so he will throw a curve

C -> v1 = 1, v2 = 0

F -> v1 = 1, v2 = 1

F -> v1 = 1, v2 = 2

v2 = v1+1, a curve is coming

C -> v1 = 2, v2 = 0

F -> v1 = 2, v2 = 1

F -> v1 = 2, v2 = 2

F -> v1 = 2, v2 = 3

v2 = v1+1, curve

C -> v1 = 3, v2 = 0

So the next five pitches are

F -> v1 = 3, v2 = 1

F -> v1 = 3, v2 = 2

F -> v1 = 3, v2 = 3

F -> v1 = 3, v2 = 4

v2 = v1+1, the next pitch is a curve

C

i think it is everything has to equal 180 so, if i correct 4=c. 6=d. 8=a. 7=b. and the last question would be c. because they are parallel lines and they are congruent.

step-by-step explanation:

the reason everything has to equal to 180 is because that is how it works. i'm guessing that is its rule. 4 and 8 are congruent and parallel so, that would be 30+30 because they have the same number. it would equal 60. 6 and 7 are congruent and parallel so, that would be 30+30 because they have the same number. it would equal 60. 60+60 is 180. so, now you have your answer

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is