The table shows how far a distance runner has traveled since the race began. what is her average speed, in miles per hour, during the interval 0.75 to 1.00 hours? time elapsed (hours) miles traveled (miles) 0.50 2.00 0.75 3.50 1.00 4.75 4.75 miles per hour 5.00 miles per hour 5.50 miles per hour 6.00 miles per hour

average speed during the interval 0.75 to 1.00 hours is 5.00 miles per hour.

step-by-step explanation:

according to the table,

up-to 0.75 hour runner has covered the distance of 3.50 miles.

up-to 1.00 hour runner has covered the distance of 4.75 miles.

time interval between 0.75 hour to 1.00 hour is hour

and the distance covered between 0.75 to 1.00 hour is miles.

average speed during the interval 0.75 to 1.00 hours is:

= miles per hour.

step-by-step explanation: step 3 should really go to step seven, but anyway never mind.

1 ∠oln ≅ ∠lno

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions