The ordered pairs would be,
(1, 8.5)
(2, 8)
(3, 7.5)
(4,7)
(5, 6.5)
(6, 6)
I got the ordered pairs from the question since it stated that the length of the candle decreased .5 every hour. I just corresponded the hour to the length of the candle.
I hope this helped!
Brainliest answer is always appreciated!
I cant see the picture could u please post another one?
Answer:
t = 100 minutes, or 1 hr, 40 minutes
Step-by-step explanation:
5/15 of 1 hour is the same as 5/15 of 60 minutes, which is 20 minutes
you can set up a proportion of hw completed / minutes = hw completed / min:
(1/5 ÷ 20) = (1 ÷ t) we use '1' to indicate all homework (or 100% of hw) and 't' to indicate time required
cross-multiply to get:
20 = 5/t
t = 100 minutes, or 1 hr, 40 minutes
Part A;
There are many system of inequalities that can be created such that only contain points D and E in the overlapping shaded regions.
Any system of inequalities which is satisfied by (-4, 2) and (-1, 5) but is not satisfied by (1, 3), (3, 1), (3, -3) and (-3, -3) can serve.
An example of such system of equation is
x < 0
y > 0
The system of equation above represent all the points in the second quadrant of the coordinate system.The area above the x-axis and to the left of the y-axis is shaded.
Part B:It can be verified that points D and E are solutions to the system of inequalities above by substituting the coordinates of points D and E into the system of equations and see whether they are true.
Substituting D(-4, 2) into the system
we have:
-4 < 0
2 > 0
as can be seen the two inequalities above are true, hence point D is a solution to the set of inequalities.
Also, substituting E(-1, 5) into the system we have:
-1 < 0
5 > 0
as can be seen the two inequalities above are true, hence point E is a solution to the set of inequalities.
Part C:Given that chicken can only be raised in the area defined by y > 3x - 4.
To identify the farms in which chicken can be raised, we substitute the coordinates of the points A to F into the inequality defining chicken's area.
For point A(1, 3): 3 > 3(1) - 4 ⇒ 3 > 3 - 4 ⇒ 3 > -1 which is true
For point B(3, 1): 1 > 3(3) - 4 ⇒ 1 > 9 - 4 ⇒ 1 > 5 which is false
For point C(3, -3): -3 > 3(3) - 4 ⇒ -3 > 9 - 4 ⇒ -3 > 5 which is false
For point D(-4, 2): 2 > 3(-4) - 4; 2 > -12 - 4 ⇒ 2 > -16 which is true
For point E(-1, 5): 5 > 3(-1) - 4 ⇒ 5 > -3 - 4 ⇒ 5 > -7 which is true
For point F(-3, -3): -3 > 3(-3) - 4 ⇒ -3 > -9 - 4 ⇒ -3 > -13 which is true
Therefore, the farms in which chicken can be raised are the farms at point A, D, E and F.
Answer:
x = -2y - 4
Step-by-step explanation:
x + 2y = -4
Subtract 2y from both sides.
x = -4 - 2y
