Find the difference in temperature between each 1000 feet:
From 1 to 2: 30 - 23.5 = 6.5
From 2 to 3: 23.5 - 17 = 6.5
From 3 to 4: 17 - 10.5 = 6.5
The temperature change is constant as it drops 6.5 degrees for every 1000 foot gain in elevation.
At 5,000 feet the temperature would be : 10.5 - 6.5 = 4
At 6,000 feet: 4 - 6.5 = -2.5
At 7,000 feet: -2.5 - 6.5 = -9
At 8,000 feet: -9 - 6.5 = -15.5
At 8,000 feet the temperature would be -15.5 degrees.
Slope = (5 + 4)/(2 +1) = 9/3 = 3
y = mx + b
5 = 3(2) + b
b = -1
equation
y = 3x - 1
answer
y = 3x - 1
X - 3 < 9 or x + 5 ≥ 10
+ 3 + 3 - 5 - 5
x < 12 or x ≥ 5
Solution Set: {x|x < 12 or x ≥ 5}, (-∞, 12) or (5, ∞)
Answer:
The volume of the irregular figure would be 144 
.
Step-by-step explanation:
If you wish to make the process of calculating the volume easier, you can picture the irregular figure as two rectangular prisms: the large one on the bottom, and the smaller one appearing to protrude from the prism below it. Using this method, you only need to find the volumes of the two rectangular prisms and add the values together to get the volume for the irregular figure. The formula used to find the volume of a rectangular prism is 
, where 
, 
, and 
, represents the length, width, and height of the rectangular prism respectively. Using the formula above, the volume of the larger rectangular prism would be 12 * 3 * 3 = 12 * 9 = 108 , and the volume of the smaller rectangular prism would be 4 * 3 * 3 = 12 * 3 = 36 . So the volume of the entire irregular figure would be 108 + 36 = 144 .
Answer:
10m - 16
Step-by-step explanation:
1. Perform the indicated multiplication. We get 12m - 6 - 2m - 10.
2. Combine like terms: We get 10m - 16
