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:
x=13 and y =6
Step-by-step explanation:
y=x-7
y=6
Substitute y=6 into the first equation
6 = x-7
Add 7 to each side
6+7= x-7+7
13 = x
x=13 and y =6
Answer:
$595
Step-by-step explanation:
$1,785 / 3 = $595
2x + 2(5+x)=10
2x+10+2x=10
4x+10=10
4x=0
X=0
Answer:
D, 20:30
Step-by-step explanation:
At first glance, this does not seem like the correct ratio. But I'll spare you a long intro and get into it:
20:30: Divide both of them by 10
=2:3
2 x 12:3 x 12
24:36
Hope this helps!