The diagram below shows the speed - time graph of the motion of an athlete during a race.
Speed
la ms
14
12
10
8
6
4
2
12
13
9 10
4
6
5
7 8
2
0 1
Time la seconds
(a) Using the graph determine,
(i) the MAXIMUM speed
(ii) the number of seconds for which the speed was constant
(iii) the TOTAL distance covered by the athlete during the race.
(b) During which time period of the race was,
(i) the speed of the athlete increasing
(ii) the speed of the athlete decreasing
(iii) the acceleration of the athlete zero?​

the correct answer is 1: 2

step-by-step explanation:

hope this your welcome : )

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.

you ignore the remainder, therefore the answer is y = x+2

step-by-step explanation:

you have to divide the denominator by the numerator. you can use synthetic division or long division.

[-5] .     1 .     7 .     11

x + 2 + 1/x+5