Complete the steps to identify all potential rational roots of f(x) = 3x2 – x – 4.

Mathematics

2 answers:

Snowcat [4.5K]4 years ago

5 0

Answer:

-4,. 3

or. ±4/1,. ±2/1,. ±1/1,. ±4/3,. ±2/3,. ±1/3,.

Step-by-step explanation:

Ymorist [56]4 years ago

4 0

-4,. 3

or. ±4/1,. ±2/1,. ±1/1,. ±4/3,. ±2/3,. ±1/3,.

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Question 4

polet [3.4K]

Answer:

12/7 hours

Step-by-step explanation:

First find the rate for hour for the two. For Lianne she can do 1/3 of the job per hour. For Julie she can do 1/4 of the job per hour.

Adding them together, 1/3+1/4= 7/12.

This 7/12 means that working together they can finish 7/12 of a job in an hour. We can use the speed*time=distance formula here and see that

7/12 * time = 1 job done

time = 12/7 hours.

7 0

2 years ago

The position s(t) of a robot moving along a track at time t is given by s(t)=9t^2−90t+4.

Xelga [282]

The total distance traveled by the robot from t=0 to t=9 is 1422 units

Integration is a way in which smaller components are brought together in pieces to form a whole. Integration can be used in finding areas, volumes and so on.

Given that the position s(t) at any time t is given by the function:

s(t)=9t²−90t+4

The total distance traveled by the robot from t=0 to t=9 can be gotten by integrating the position function within the limits 0< t < 9

Therefore:

$Total\ distance = \int\limits^9_0 {s(t) \, dt \\\\Total\ distance = \int\limits^9_0 {(9t^2-90t+4) \, dt\\\\Total\ distance = [3t^3-45t+4t]_0^9\\\\Total\ distance=-1422\ units$