Answer:
x = ![\frac{3}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7D)
Step-by-step explanation:
Given
f(x) = ![\frac{x-4}{2x-3}](https://tex.z-dn.net/?f=%5Cfrac%7Bx-4%7D%7B2x-3%7D)
The denominator cannot be zero as this would make f(x) undefined.
Equating the denominator to zero and solving gives the value that x cannot be and if the numerator is non zero for this value then it is a vertical asymptote.
2x - 3 = 0 ⇒ 2x = 3 ⇒ x = ![\frac{3}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7D)
Thus x =
is the vertical asymptote
Answer:
The best estimate for the number of hours the family drove is 28.8 Hours.
Step-by-step explanation:
The distance Jarrod's family drove is 1778 miles and their average speed was 61.7 miles/hour, and we need the best estimate for the number of hours the family drove. For this we use the distance formula
![D=vt](https://tex.z-dn.net/?f=D%3Dvt)
and use solve for t:
![=\frac{1778\:miles}{61.7\:miles/hr} = \boxed{28.8\:hours.}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1778%5C%3Amiles%7D%7B61.7%5C%3Amiles%2Fhr%7D%20%3D%20%5Cboxed%7B28.8%5C%3Ahours.%7D)
Thus the best estimate for the hours driven is 28.8 hours.
<em>It is only an estimate because the speed given is the average speed.</em>
Answer:
42
Step-by-step explanation:
7x6