-2° was the initial temperature as it dropped to -5°
-2-5=-7
Hope this helped
Answer:
(-4, 0) U (1, ∞)
Step-by-step explanation:
Set each factor EQUAL to zero to find the zeroes (since it is not actually equal to zero, you will use an open circle when graphing and an open bracket when writing in interval notation).
x = 0 x-1 = 0 x + 4 = 0
x = 1 x = -4
Next, choose a value to the far left, between each of the zeroes, and to the far right to evaluate if it makes a true statement when input into the given inequality.
far left (I choose -5): -5(-5 - 1)(-5 + 4) > 0 → (-)(-)(-) > 0 → negative > 0 FALSE
- 4 to 0 (I choose -2): -2(-2 - 1)(-2 + 4) > 0 → (-)(-)(+) > 0 → positive > 0 TRUE
0 to 1 (I choose 0.5): .5(.5 - 1)(.5 + 4) > 0 → (+)(-)(+) > 0 → negative > 0 FALSE
far right (I choose 2): 2(2 - 1)(2 + 4) > 0 → (+)(+)(+) > 0 → positive > 0 TRUE
Answer: 20
Reason: They're opposite meaning they are the same when compared to the side
Answer:
![Blue =1\frac{3}{5}](https://tex.z-dn.net/?f=Blue%20%3D1%5Cfrac%7B3%7D%7B5%7D)
Step-by-step explanation:
Given
![Blue = 1\frac{1}{3}](https://tex.z-dn.net/?f=Blue%20%3D%201%5Cfrac%7B1%7D%7B3%7D)
![Red = 1\frac{2}{3}](https://tex.z-dn.net/?f=Red%20%3D%201%5Cfrac%7B2%7D%7B3%7D)
Required
Determine the amount of blue paint when Red = 2
To do this, we make use of the following equivalent ratios
![Ratio = Blue : Red](https://tex.z-dn.net/?f=Ratio%20%3D%20Blue%20%3A%20Red)
When
and ![Red = 1\frac{2}{3}](https://tex.z-dn.net/?f=Red%20%3D%201%5Cfrac%7B2%7D%7B3%7D)
![Ratio = 1\frac{1}{3} : 1\frac{2}{3}](https://tex.z-dn.net/?f=Ratio%20%3D%201%5Cfrac%7B1%7D%7B3%7D%20%3A%201%5Cfrac%7B2%7D%7B3%7D)
When Red = 2
![Ratio = Blue : 2](https://tex.z-dn.net/?f=Ratio%20%3D%20Blue%20%3A%202)
Equate both ratios
![Blue : 2 = 1\frac{1}{3} : 1\frac{2}{3}](https://tex.z-dn.net/?f=Blue%20%3A%202%20%3D%201%5Cfrac%7B1%7D%7B3%7D%20%3A%201%5Cfrac%7B2%7D%7B3%7D)
Convert to division
![\frac{Blue}{2} =1\frac{1}{3} / 1\frac{2}{3}](https://tex.z-dn.net/?f=%5Cfrac%7BBlue%7D%7B2%7D%20%3D1%5Cfrac%7B1%7D%7B3%7D%20%2F%201%5Cfrac%7B2%7D%7B3%7D)
Convert fractions to improper fraction
![\frac{Blue}{2} =\frac{4}{3} / \frac{5}{3}](https://tex.z-dn.net/?f=%5Cfrac%7BBlue%7D%7B2%7D%20%3D%5Cfrac%7B4%7D%7B3%7D%20%2F%20%5Cfrac%7B5%7D%7B3%7D)
![\frac{Blue}{2} =\frac{4}{3} * \frac{3}{5}](https://tex.z-dn.net/?f=%5Cfrac%7BBlue%7D%7B2%7D%20%3D%5Cfrac%7B4%7D%7B3%7D%20%2A%20%5Cfrac%7B3%7D%7B5%7D)
![\frac{Blue}{2} =\frac{4}{5}](https://tex.z-dn.net/?f=%5Cfrac%7BBlue%7D%7B2%7D%20%3D%5Cfrac%7B4%7D%7B5%7D)
Make Blue the subject
![Blue =\frac{4}{5}*2](https://tex.z-dn.net/?f=Blue%20%3D%5Cfrac%7B4%7D%7B5%7D%2A2)
![Blue =\frac{8}{5}](https://tex.z-dn.net/?f=Blue%20%3D%5Cfrac%7B8%7D%7B5%7D)
![Blue =1\frac{3}{5}](https://tex.z-dn.net/?f=Blue%20%3D1%5Cfrac%7B3%7D%7B5%7D)