Choose the correct answer. Distance between Train 1 and Train 2 = 95 miles.
Average speed of Train 1 = 45 mph.
Average speed of Train 2 = 60 mph.
If both trains leave at the same time and travel toward each other but on parallel tracks, in how much time will their engines be opposite each other? (Hint: When the engines are opposite each other, together the trains will have traveled 95 miles. Their relative speed of travel is the sum of their respective speeds, or 105 mph.)
Travel time =
hours.

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

answer: an 8-foot rope is tied from the top of a pole to a

stake in the ground, as shown in the diagram

below

step-by-step explanation:

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