Answer:
![F = 1.8C + 32](https://tex.z-dn.net/?f=F%20%3D%201.8C%20%2B%2032)
Step-by-step explanation:
Given
The attached table
Required
The relationship between both temperatures
<em>This implies that we calculate the table equation</em>
First, we calculate the slope (m)
![m = \frac{F_2 - F_1}{C_2 - C_1}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7BF_2%20-%20F_1%7D%7BC_2%20-%20C_1%7D)
Where:
![(C_1,F_1) = (0,32)](https://tex.z-dn.net/?f=%28C_1%2CF_1%29%20%3D%20%280%2C32%29)
![(C_2,F_2) = (20,68)](https://tex.z-dn.net/?f=%28C_2%2CF_2%29%20%3D%20%2820%2C68%29)
So, we have:
![m = \frac{68 - 32}{20 - 0}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B68%20-%2032%7D%7B20%20-%200%7D)
![m = \frac{36}{20}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B36%7D%7B20%7D)
![m = 1.8](https://tex.z-dn.net/?f=m%20%3D%201.8)
The equation is then calculated using:
![F = m(C - C_1) + F_1](https://tex.z-dn.net/?f=F%20%3D%20m%28C%20-%20C_1%29%20%2B%20F_1)
This gives:
![F = 1.8(C - 0) + 32](https://tex.z-dn.net/?f=F%20%3D%201.8%28C%20-%200%29%20%2B%2032)
![F = 1.8(C ) + 32](https://tex.z-dn.net/?f=F%20%3D%201.8%28C%20%29%20%2B%2032)
![F = 1.8C + 32](https://tex.z-dn.net/?f=F%20%3D%201.8C%20%2B%2032)
Answer: x = 0.3
Step-by-step explanation:
12x-18=-15+6x
6x = 3
x = 1/2 or 0.5
[Corrected]
3x=y
X+Y=20
5=x and 15=y are the answer. You can use elimination or substitution or guess and check!
Answer:
![y=\frac{x}{5}+\frac{12}{5}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7Bx%7D%7B5%7D%2B%5Cfrac%7B12%7D%7B5%7D)
Step-by-step explanation:
1) The Point-slope form equation is given in this form:
![(x-x_{0})=m(y-y_{0})](https://tex.z-dn.net/?f=%28x-x_%7B0%7D%29%3Dm%28y-y_%7B0%7D%29)
2)Looking at the given graph, we can pick two points: (-5,-4) and (0,-3)
3) Before using the Point-slope form We have to find out the slope:
![m=\frac{-4-(-3)}{0-(-5)} \Rightarrow m=\frac{-4+3}{0+5} \Rightarrow m=\frac{-1}{5}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B-4-%28-3%29%7D%7B0-%28-5%29%7D%20%5CRightarrow%20m%3D%5Cfrac%7B-4%2B3%7D%7B0%2B5%7D%20%5CRightarrow%20m%3D%5Cfrac%7B-1%7D%7B5%7D)
4)Parallel lines share the same slope. The one that passes through (-2,2) is found by calculating its linear parameter "b":
![y=\frac{x}{5}+b\Rightarrow 2=\frac{-2}{5}+b\\5*10=(-2+b)*5\Rightarrow 5b=12 \Rightarrow \frac{5b}{5} =\frac{12}{5} \Rightarrow b=\frac{12}{5}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7Bx%7D%7B5%7D%2Bb%5CRightarrow%202%3D%5Cfrac%7B-2%7D%7B5%7D%2Bb%5C%5C5%2A10%3D%28-2%2Bb%29%2A5%5CRightarrow%205b%3D12%20%5CRightarrow%20%5Cfrac%7B5b%7D%7B5%7D%20%3D%5Cfrac%7B12%7D%7B5%7D%20%5CRightarrow%20b%3D%5Cfrac%7B12%7D%7B5%7D)
Then, the answer is:
![y=\frac{x}{5}+\frac{12}{5}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7Bx%7D%7B5%7D%2B%5Cfrac%7B12%7D%7B5%7D)
Answer:
![5x-2y=16](https://tex.z-dn.net/?f=5x-2y%3D16)
Hope this helps! If you need an explanation, I've got you.