Answer:
x= -2, y = -2
Step-by-step explanation:
Solve the following system:
{2 y - 4 x = 4 | (equation 1)
{4 x - y = -6 | (equation 2)
Add equation 1 to equation 2:
{-(4 x) + 2 y = 4 | (equation 1)
{0 x+y = -2 | (equation 2)
Divide equation 1 by 2:
{-(2 x) + y = 2 | (equation 1)
{0 x+y = -2 | (equation 2)
Subtract equation 2 from equation 1:
{-(2 x)+0 y = 4 | (equation 1)
{0 x+y = -2 | (equation 2)
Divide equation 1 by -2:
{x+0 y = -2 | (equation 1)
{0 x+y = -2 | (equation 2)
Collect results:
Answer: {x = -2
, y = -2
Answer:
D. Positive association
Step-by-step explanation:
The line of best fit would have a positive slope
The equation of the vertical parabola in vertex form is written as
Where (h, k) are the coordinates of the vertex and p is the focal distance.
The directrix of a parabola is a line which every point of the parabola is equally distant to this line and the focus of the parabola. The vertex is located between the focus and the directrix, therefore, the distance between the y-coordinate of the vertex and the directrix represents the focal distance.
Using this value for p and (3, 1) as the vertex, we have our equation
D + q = 110......d = 110 - q
0.10d + 0.25q = 20.30
0.10(110 - q) + 0.25q = 20.30
11 - 0.10q + 0.25q = 20.30
-0.10q + 0.25q = 20.30 - 11
0.15q = 9.30
q = 9.30/0.15
q = 62 <==== there are 62 quarters
d = 110 - q
d = 110 - 62
d = 48 <==== there are 48 dimes
Answer: 40
Step-by-step explanation:
