Answer:
-78
Step-by-step explanation:
f(x) = -22 + 8x
f(-7) = -22 + 8 (-7)
= -22 + -56
= -78
Answer
( 5 /12 )
![\frac{3}{2x} - \frac{2}{3x} = 2](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B2x%7D%20%20-%20%20%5Cfrac%7B2%7D%7B3x%7D%20%20%3D%202)
multiplying the denominators to get the L.C.M since there is no common factor.
![2x \times 3x = 6 {x}^{2}](https://tex.z-dn.net/?f=2x%20%5Ctimes%203x%20%3D%206%20%7Bx%7D%5E%7B2%7D%20)
as the L.C .M
so now the general equation becomes
![\frac{ \frac{3}{2x} - \frac{2}{3x} }{6 {x}^{2} } = 2](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%5Cfrac%7B3%7D%7B2x%7D%20%20-%20%20%5Cfrac%7B2%7D%7B3x%7D%20%7D%7B6%20%7Bx%7D%5E%7B2%7D%20%7D%20%20%3D%202)
![\frac{9x - 4x}{6 {x}^{2} } = 2](https://tex.z-dn.net/?f=%20%5Cfrac%7B9x%20-%204x%7D%7B6%20%7Bx%7D%5E%7B2%7D%20%7D%20%20%3D%202)
![5x = 6 {x}^{2} \times 2](https://tex.z-dn.net/?f=5x%20%3D%20%206%20%7Bx%7D%5E%7B2%7D%20%20%5Ctimes%202)
![5x = 12 {x}^{2}](https://tex.z-dn.net/?f=5x%20%3D%2012%20%7Bx%7D%5E%7B2%7D%20)
![12 {x}^{2} - 5x = 0](https://tex.z-dn.net/?f=12%20%7Bx%7D%5E%7B2%7D%20%20-%205x%20%3D%200)
factorizing x
![x(12x - 5) = 0](https://tex.z-dn.net/?f=x%2812x%20-%205%29%20%3D%200)
![x = 0](https://tex.z-dn.net/?f=x%20%3D%200)
![12x - 5 = 0](https://tex.z-dn.net/?f=12x%20-%205%20%3D%200)
![12x = 5](https://tex.z-dn.net/?f=12x%20%3D%205)
![x = \frac{5}{12}](https://tex.z-dn.net/?f=x%20%3D%20%20%5Cfrac%7B5%7D%7B12%7D%20)
![x = 0.416](https://tex.z-dn.net/?f=x%20%3D%200.416)
![x = 4.17 \times {10}^{ - 1}](https://tex.z-dn.net/?f=x%20%3D%204.17%20%5Ctimes%20%20%7B10%7D%5E%7B%20-%201%7D%20)
Answer:
27.5 miles per gallon
Step-by-step explanation:
The decimal 0.2 is larger than 0.04.
4.3 x 10⁻⁵ Liters
0.043 mL
4.3 x 10⁻² mL