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:
![\sf \Bigg[ \frac{ ( - 4 \times ( - 3)) }{2} \Bigg] \: and \: \Bigg[ \frac{ - ( - 5 \times 8)}{10} + 2 \Bigg]](https://tex.z-dn.net/?f=%20%20%20%5Csf%20%5CBigg%5B%20%5Cfrac%7B%20%28%20-%204%20%5Ctimes%20%28%20-%203%29%29%20%7D%7B2%7D%20%5CBigg%5D%20%5C%3A%20and%20%20%5C%3A%20%5CBigg%5B%20%5Cfrac%7B%20-%20%28%20-%205%20%5Ctimes%208%29%7D%7B10%7D%20%2B%202%20%5CBigg%5D)
Step-by-step explanation:
Given:
To find:
Two expressions that equal 6 using the given numbers
Solution:
Expression first,
Using numbers -4, 2, -3,
aligning the above numbers as,
will out put 6.
<em>Verification,</em>
Expression second,
Using numbers 10,8,2,-5
aligning the above numbers as,
will result 6.
<em>Verification</em>
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