) A plane traveled 1400 miles to Cleveland and back. The trip there was with the wind. It took 14
hours. The trip back was into the wind. The trip back took 28 hours. Find the speed of the plane in
still air and the speed of the wind.
A) plane: 73 mph, wind: 10 mph B) plane: 36 mph, wind: 30 mph
C) plane: 75 mph, wind: 25 mph D) plane: 64 mph, wind: 31 mph

answer: the answer is one of

step-by-step explanation:   we are given to write a proper fraction where the whole is divided into an even number of equal parts less than ten, and an odd number of those parts exist.

an even number less than 10 may be one of 2, 4, 6 or 8. so, the whole may be one of these four evens.

now, an odd number of these parts must exist, so the numerator must be an odd number, one of 1, 3, 5 or 7. it cannot be 9 because then the fraction will become improper.

thus, our fraction may be one of the following

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.

∈3,600

step-by-step explanation: