Answer:
Please check the explanation.
Step-by-step explanation:
We know the equation
y = kx
k = y/x
where k is the proportionality constant
so,
First ratio can be calculated as
Miles = 45
Hours = 3/4
The ratio = 45 / (3/4)
= (45 × 4) / 3
= 180/3
= 60
Thus, the proportionality constant = 60
Thus, the remaining ratios can be calculated as:
The Pair (135, Hours)
135/Hours = 60
Hours = 135 / 60
= 27/12
= 9/4
= 2.25
Thus, the pair is (135, 2.25)
The Pair (Miles, 3)
Miles/3 = 60
Miles = 60×3
= 180
The Pair (90, Hours)
90/Hours = 60
Hours = 90 / 60
= 3/2
= 1.5
Thus, the complete table:
Miles 45 135 180 90
Hours 3/4 9/4 3 3/2
Verification:
Miles / Hour = 45/(3/4) = 60
Miles / Hour = 135 / 2.25 = 60
Miles / Hour = 180 / 3 = 60
Miles / Hour = 90 / 1.5 = 60
Answer:
7 km
Step-by-step explanation:
2 hours 20 minutes is 2 and 1/3 hours. 3 * 2 and 1/3 = 3 * 7/3 = 7km.
We can see that the graph touches 
without crossing the x-axis (i.e. it is a double solution), and then there's another zero at 
(this time it's a crossing zero, so a single solution).
This leads, up to multiple, to the polynomial
If we impose the passing through 
we have
So, the polynomial is
Finally, to solve 
, simply look at the graph, searching for the points, where the graph is below the x-axis. You can see that this happens only if 
, so that's the solution to your question.
Answer:
The answer is 600 minutes (10 hours)
Step-by-step explanation:
20 minutes = 1 student.
30 students x 20 = 600 minutes
600mins / 60 (because an hour has 60 mins) = 10 hours.
Answer:
{(-2, 5), (1, -1), (2, -2), (5, 2)}
