Determine whether the relationship between the two quantities is proportional. explain.

a. no, because the graph of the line connecting the ordered pairs passes through the origin.

b. no, because the graph of the line connecting the ordered pairs does no pass through the origin.

c. yes, because the graph of the line connecting the ordered pairs passes through the origin.

d. yes, because the graph of the line connecting the ordered pairs does not pass through the origin.

OPTION B.

Step-by-step explanation:

The equation of a line that passes through the origin has this form:

Where "m" is the slope of the line.

By, definition, Proportional relationships have the following form:

Where "k" is the Constant of proportionality.

Therefore, the graph of a Proportional relationship is a straight line that passes through the origin. Then:

As you can observe in the picture attached, if you connect the ordered pairs shown in the graph, you get a line that does not pass through the origin.

Therefore, you can conclude that the relationship between those two quantities is not proportional.

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.

87%

step-by-step explanation:

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