The unlabeled graph shows the relationship between two customary unit of measure. only two pairs of units can be represented by the graph

The possible pairs of units are (1,4) and (2,8). The second commodity units are 4 times of the first commodity units. The relation between all pairs is defined as .

Step-by-step explanation:

Let the first commodity units be x and second commodity units be  y.

From the given graph it is noticed that the line is passing through the points (1,4) and (2,8). Therefore the possible pairs of units are (1,4) and (2,8).

Slope of a line is:

Therefore the slope of the line is 4. If the second commodity units increased by 4 units if the first commodity units increased by 1 units.

Slope intercept form of a line is:

Where, m is slope and b is y-intercept.

The slope of the line is 4 and y-intercept is origin.

Therefore the possible pairs of units are (1,4) and (2,8). The second commodity units are 4 times of the first commodity units. The relation between all pairs is defined as .

the correct answer is d

hope this

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.