Answer:
D
Step-by-step explanation:
Domain of the function 3x + 2y = 8 are the possible set of x-values represented as {-2, 0, 2, 4}.
To know which graph represents the above given function, find the range values of the function by plugging in each value of x into the equation, to find y.
For x = -2,
3(-2) + 2y = 8
-6 + 2y = 8
2y = 8 + 6
2y = 14
y = 14/2
y = 7
(-2, 7)
For x = 0,
3(0) + 2y = 8
0 + 2y = 8
2y = 8
y = 8/2
y = 4
(0, 4)
For x = 2,
3(2) + 2y = 8
6 + 2y = 8
2y = 8 - 6
2y = 2
y = 2/2
y = 1
(2, 1)
For x = 4,
3(4) + 2y = 8
12 + 2y = 8
2y = 8 - 12
2y = -4
y = -4/2
y = -2
(4, -2)
The graph which shows the following set of coordinates pairs calculated above, ((-2, 7), (0, 4), (2, 1), (4, -2)), is the graph of the function 3x + 2y = 8.
Thus, the graph in option D the shows the following calculated coordinate pairs. Therefore, graph D is the answer.
Answer:
i) 1350 m
ii) 5400 m
Step-by-step explanation:
<u>Formula for Speed</u>
![\boxed{\sf Speed=\dfrac{Distance}{Time}}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Csf%20Speed%3D%5Cdfrac%7BDistance%7D%7BTime%7D%7D)
Rearrange the formula so that Distance is the subject:
![\implies \sf Distance = Speed \times Time](https://tex.z-dn.net/?f=%5Cimplies%20%5Csf%20Distance%20%3D%20Speed%20%5Ctimes%20Time)
<h3><u>Question (i)</u></h3>
Given:
- Speed = 45 m/s (meters per second)
- Time = 30 seconds
Substitute the given values into the formula for distance:
![\implies \sf Distance = 45 \times 30 = 1350\:m](https://tex.z-dn.net/?f=%5Cimplies%20%5Csf%20Distance%20%3D%2045%20%5Ctimes%2030%20%3D%201350%5C%3Am)
<h3><u>Question (ii)</u></h3>
Given:
- Speed = 45 m/s (meters per second)
- Time = 2 minutes
As the time is given in a different unit of time as the speed, we must first convert the time into seconds:
1 minute = 60 seconds
⇒ 2 minutes = 60 × 2 = 120 seconds
Therefore:
- Speed = 45 m/s (meters per second)
- Time = 120 seconds
Substitute the values into the formula for distance:
![\implies \sf Distance = 45 \times 120 = 5400\:m](https://tex.z-dn.net/?f=%5Cimplies%20%5Csf%20Distance%20%3D%2045%20%5Ctimes%20120%20%3D%205400%5C%3Am)
f(b) = -1/6b + 8. Is the function rule if you want. further explanation just ask.
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