Suppose you run the following regression: Y equals beta subscript 0 plus beta subscript 1 X subscript 1 plus beta subscript 2 X subscript 2 plus beta subscript 3 X subscript 2 superscript 2 plus beta subscript 4 X subscript 4 and find that stack beta subscript 2 with hat on top less than 0 and stack beta subscript 3 with hat on top greater than 0. This implies that: A. As X subscript 2 increases, Y decreases at an increasing rate.

the image of (6, 9) under a dilation is (4, 6). the scale factor is

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.

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation:

the answer is y < -3 or   y > 3

-3y > 7 + 2

-3 y > 9

y < -3