14=2x +6
14-6=2x+<u>6-6</u>
8=2x
x=<u>2</u>
<u> </u><u> </u><u> </u><u> </u>8
x=4
3x + 4y = -12
X - Intercept: 3x + 4y = -12
3x + 4(0) = -12
3x + 0 = -12
3x = -12
3 3
x = -4
(x, y) = (-4, 0)
Y - Intercept: 3x + 4y = 12
3(0) + 4y = 12
0 + 4y = 12
4y = 12
4 4
y = 3
(x, y) = (0, 3)
Answer:
12, and -2
Step-by-step explanation:
12 + (-2) = 10
12 * (-2) = -24
Answer:
C) The mean is about 100.
Step-by-step explanation:
We see that the best fit line (out of the options listed) would be y=100. The mean can also be algebraically calculated with the following equation:
Let 
be the mean (average) of the values:
, which is closest to answer choice C) The mean is about 100.
Answer: Length = 15 meters
Width = 2 meters
Step-by-step explanation:
Perimeter of a rectangle = 2l + 2w
Area of a rectangle = l × w
where l = length
w = width
Therefore,
2l + 2w = 34 ...... i
l × w = 30 ........ ii
From equation i
2l + 2w = 34
Divide through by 2.
l + w = 17 ...... iii
Then, l = 17 - w ........ iv
Put equation iv into ii
l × w = 30
(17 - w) × w = 30
17w - w² = 30
w² - 17w + 30 = 0
w² - 15w - 2w + 30 = 0
w(w - 15) - 2(w - 15) = 0
(w - 2) = 0
w = 0 + 2 = 2
w - 15 = 0
w = 0 + 15 = 15
Length = 15 meters
Width = 2 meters
