Which fraction is greater than −23 and less than −1/2? −3/4 −7/12 −5/12 −3/8

-7/12

Step-by-step explanation:

In order from least to greatest, the numbers and fractions are ...

... -23, -3/4, -2/3, -7/12, -1/2, -5/12, -3/8

There are two fractions greater than -23 and less than -1/2:

... -3/4, -7/12

There is one fraction greater than -2/3 and less than -1/2:

... -7/12

There are several different ways you can compare these numbers. One is to express them all using a denominator of 24.

... -3/4 = -18/24

... -2/3 = -16/24 . . . . apparently your lower limit of concern

... -7/12 = -14/24

... -1/2 = -12/24 . . . . your upper limit of concern

... -5/12 and -3/8 are obviously greater than -1/2, since the numerator magnitude is less than half the denominator.

it would be 6xy and -16xy.

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.