Answer: (d)
Step-by-step explanation:
Given
It takes 14 hours with 40 mph to reach the theatre
so, the distance traveled is given by
![\Rightarrow d_1=40\times 14\\\Rightarrow d_1=560\ \text{miles}](https://tex.z-dn.net/?f=%5CRightarrow%20d_1%3D40%5Ctimes%2014%5C%5C%5CRightarrow%20d_1%3D560%5C%20%5Ctext%7Bmiles%7D)
It is given that d is the distance from theatre to friend's house
So, d must be less than
i.e.
![d](https://tex.z-dn.net/?f=d%3Cd_1)
So, the most appropriate option out of the given is option (d) as d must be less than 560 and it is possible that it maybe less than 160.
The rate would be
22000 gallons per 16 hours or
rate = 22000/16 = 1375 gallons/hr
we are given
![f(x)=(0.75)^x+2](https://tex.z-dn.net/?f=%20f%28x%29%3D%280.75%29%5Ex%2B2%20)
For finding asymptote , we can find limit
![\lim_{x \to \infty} f(x)= \lim_{x \to \infty}((0.75)^x+2)](https://tex.z-dn.net/?f=%20%20%5Clim_%7Bx%20%5Cto%20%5Cinfty%7D%20f%28x%29%3D%20%5Clim_%7Bx%20%5Cto%20%5Cinfty%7D%28%280.75%29%5Ex%2B2%29%20)
![\lim_{x \to \infty} f(x)= \lim_{x \to \infty} (0.75)^x+\lim_{x \to \infty} 2)](https://tex.z-dn.net/?f=%20%20%5Clim_%7Bx%20%5Cto%20%5Cinfty%7D%20f%28x%29%3D%20%5Clim_%7Bx%20%5Cto%20%5Cinfty%7D%20%280.75%29%5Ex%2B%5Clim_%7Bx%20%5Cto%20%5Cinfty%7D%202%29%20)
now, we can solve it
![\lim_{x \to \infty} f(x)= 0+2](https://tex.z-dn.net/?f=%20%20%5Clim_%7Bx%20%5Cto%20%5Cinfty%7D%20f%28x%29%3D%200%2B2%20)
![\lim_{x \to \infty} f(x)= 2](https://tex.z-dn.net/?f=%20%20%5Clim_%7Bx%20%5Cto%20%5Cinfty%7D%20f%28x%29%3D%202%20)
so, horizontal asymptote is
.............Answer
Answer is 6-4x
<span>1/4 evaluates to 1/4
</span>
<span>Multiply x and 16
</span>
<span>Multiply x and 1
after you have the answer it should come out to </span>24-16x then multiply 1/4 * 24-16x
1/4 *24=6
<span>1/4*(24-16*x) evaluates to 6-4x</span>
Answer:
Yes, this is linear.
y = -4x
Step-by-step explanation:
12x = 7y - 10y
12x = -3y
-3y = 12x
/ -3 /-3
y = -4x + 0
Please mark me brainliest if this helped, thank you!