Answer:
Step-by-step explanation:
α + β = -b/a
αβ = c/a
α² + β² = (α + β)² - 2αβ

Answer:
B) rose bush: $8, pot of ivy: $11
Step-by-step explanation:
12(8) + 13(11) = 239
remove parentheses: (a) = a
= 12 * 8 + 13 * 11
multiply the numbers: 12 * 8 = 96
= 96 + 13 * 11
multiply the numbers: 13 * 11 = 143
= 96 + 143
add the numbers: 96 + 143 = 239
= 239
Step-by-step explanation:
that means the center of the circle is exactly in the middle between the 2 points.
and since both points have the same x value (so, the diameter here is a vertical line), it is ready to get the y value of the middle : (-7 - 0) / 2 = -3.5
so, the coordinates of the center are (3, -3.5).
and that makes the standard circle equation
(x - h)² + (y - k)² = r²
to
(x - 3)² + (y + 3.5)² = 3.5² = 12.25
as h, k are the coordinates of the center, and r is the radius (half the diameter).
Answer:
I think your gonna have to do this one on your own because this is a whole experiment. Just saying. :)
Step-by-step explanation:
Answer:
A) allows the population effect on log earnings of being married to depend on gender
Step-by-step explanation:
The regression equation of a dependent variable based on two or more independent variables is of the form:

Here,
<em>Y</em> = dependent variable
and
= independent variables
= interaction term
= regression coefficients.
If there is a significant interaction effect present then this implies that the effect of one independent variable (
or
) on the dependent variable (<em>Y</em>) differs every time with different value of the other independent variable (
or
) .
The provided regression equation is:

= dependent variable
and
= independent variables
In this case the interaction term is defined as follows:
The effect of being married on log earnings is dependent on different values of the variables
, i.e. the gender of the
person.
Thus, the correct option is (A).