Tessa and marisol run in a 100 meter race. Tessa run at an average speed of 8.1 meters per second. Five seconds after the race, she is 3.5 meters ahead of marisol. To the nearest hundredth of a second, how long will it take Marisol to run the entire race if she does not slow down.

It will take her 13.51 seconds to finish the entire race

Step-by-step explanation:

The speed of Tessa is given as 8.1 meters per seconds

Mathematically, distance = speed * time

At 5 seconds, distance covered by her will be;

5 * 8.1 = 40.5 meters

Since she is 3.5 meters ahead of Marisol,

the distance covered by Marisol in the same 5 seconds will be 40.5-3.5 = 37 meters

Now, we proceed to calculate Marisol’s speed since she covered 37 meters in 5 seconds

Marisol’s speed will be 37/5 = 7.4 meters per second

So the amount of time it will take her to run the entire race will be 100 meters/7.4 = 13.51 seconds

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3