A person jogs 4 kilometers in 32 minutes, the 2 kilometers in 22 minutes, and finally 1 kilometer in 16 minutes. What is the jogger's average speed in kilometers per minute?

Step-by-step explanation:

what is average speed:

"The average speed of an object is defined as the distance traveled divided by the time elapsed. Velocity is a vector quantity, and average velocity can be defined as the displacement divided by the time."

step one:

given data

Distances   Time

4km             32min

2km              22min

 1km              16min

the total distance covered is

4+2+1= 7km

the total time taken = 32+22+16=70min

the average speed= distance/time

average speed= 7/70= 0.1km per min

answer: standard form is ax^2 + bx + c = 0

step-by-step explanation:

standard form is ax^2 + bx + c = 0

(2x + 1)(x - 2) = 0

distribute to get into standard form

2x^2 - 4x + x - 2 = 0

2x^2 - 3x - 2 = 0

a = 2, b= -3, c = -2

a is your answer