Answer:
<h3>
f(x) = 5x² + 2x</h3><h3>
g(x) = 6x - 6</h3>
Step-by-step explanation:
![\dfrac{5x^3-8x^2-4x}{6x^2-18x+12}\\\\6(x^2-3x+2)\ne0\ \iff\ x=\frac{3\pm\sqrt{9-8}}{2}\ne0\ \iff\ x\ne2\ \wedge\ x\ne1\\\\\\\dfrac{5x^3-8x^2-4x}{6x^2-18x+12}=\dfrac{x(5x^2-8x-4)}{6(x^2-3x+2)}=\dfrac{x(5x^2-10x+2x-4)}{6(x^2-2x-x+2)}=\\\\\\=\dfrac{x[5x(x-2)+2(x-2)]}{6[x(x-2)-(x-2)]} =\dfrac{x(x-2)(5x+2)}{6(x-2)(x-1)}=\dfrac{x(5x+2)}{6(x-1)}=\dfrac{5x^2+2x}{6x-6}\\\\\\f(x)=5x^2+2x\\\\g(x)=6x-6](https://tex.z-dn.net/?f=%5Cdfrac%7B5x%5E3-8x%5E2-4x%7D%7B6x%5E2-18x%2B12%7D%5C%5C%5C%5C6%28x%5E2-3x%2B2%29%5Cne0%5C%20%5Ciff%5C%20x%3D%5Cfrac%7B3%5Cpm%5Csqrt%7B9-8%7D%7D%7B2%7D%5Cne0%5C%20%5Ciff%5C%20x%5Cne2%5C%20%5Cwedge%5C%20x%5Cne1%5C%5C%5C%5C%5C%5C%5Cdfrac%7B5x%5E3-8x%5E2-4x%7D%7B6x%5E2-18x%2B12%7D%3D%5Cdfrac%7Bx%285x%5E2-8x-4%29%7D%7B6%28x%5E2-3x%2B2%29%7D%3D%5Cdfrac%7Bx%285x%5E2-10x%2B2x-4%29%7D%7B6%28x%5E2-2x-x%2B2%29%7D%3D%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7Bx%5B5x%28x-2%29%2B2%28x-2%29%5D%7D%7B6%5Bx%28x-2%29-%28x-2%29%5D%7D%20%3D%5Cdfrac%7Bx%28x-2%29%285x%2B2%29%7D%7B6%28x-2%29%28x-1%29%7D%3D%5Cdfrac%7Bx%285x%2B2%29%7D%7B6%28x-1%29%7D%3D%5Cdfrac%7B5x%5E2%2B2x%7D%7B6x-6%7D%5C%5C%5C%5C%5C%5Cf%28x%29%3D5x%5E2%2B2x%5C%5C%5C%5Cg%28x%29%3D6x-6)
All we need to do is subtract each number by 344 and see which number is the lowest
344 - 320 = 24
360 - 344 = 16
Therefore, 360 is closest to 344
Hope this helps
-AaronWiseIsBae
Answer:
47.5 degrees Farenheit
Step-by-step explanation:
the problem says temperature drops 1.8 deg F for every thousand feet. 3,000 ft of altitude will be achieved so that would to find the amount of deg the temperature will decrease we need to multiply 1.8 X 3, which is 5.4 degrees. subtract 5.4 degrees from 52.9 and you get 47.5 degrees at 3,000 ft of altitude
Answer:
![\boxed {\boxed {\sf (\frac {7}{2}, \frac{3}{2}) \ or \ (3,5, 1.5) }}](https://tex.z-dn.net/?f=%5Cboxed%20%7B%5Cboxed%20%7B%5Csf%20%28%5Cfrac%20%7B7%7D%7B2%7D%2C%20%5Cfrac%7B3%7D%7B2%7D%29%20%5C%20or%20%5C%20%283%2C5%2C%201.5%29%20%7D%7D)
Step-by-step explanation:
The midpoint is essentially a point with the average of the 2 x-coordinates and the 2 y-coordinates.
The formula is:
![(\frac {x_1+x_2}{2}, \frac{y_1+y_2}{2})](https://tex.z-dn.net/?f=%28%5Cfrac%20%7Bx_1%2Bx_2%7D%7B2%7D%2C%20%5Cfrac%7By_1%2By_2%7D%7B2%7D%29)
We are given two points: A (7,0) and B (0, 3). Remember points are written as (x, y).
Therefore,
![x_1= 7 \\y_1=0 \\x_2=0 \\x_2=3](https://tex.z-dn.net/?f=x_1%3D%207%20%5C%5Cy_1%3D0%20%5C%5Cx_2%3D0%20%5C%5Cx_2%3D3)
Substitute the values into the formula.
![(\frac {7+0}{2}, \frac{0+3}{2})](https://tex.z-dn.net/?f=%28%5Cfrac%20%7B7%2B0%7D%7B2%7D%2C%20%5Cfrac%7B0%2B3%7D%7B2%7D%29)
Solve the numerators first.
![(\frac {7}{2}, \frac{3}{2})](https://tex.z-dn.net/?f=%28%5Cfrac%20%7B7%7D%7B2%7D%2C%20%5Cfrac%7B3%7D%7B2%7D%29)
The midpoint can be left like this because the fractions are reduced, but it can be written as decimals too.
![(3.5, 1.5)](https://tex.z-dn.net/?f=%283.5%2C%201.5%29)
Answer: 30%
Step-by-step explanation: