Answer:
45 miles
Step-by-step explanation:
Let, the friend's village from Lucas' house is x miles away.
Now, It takes Lucas 3 hours to cycle from his home to his friend's village. But if he travels 5 mph slower, it will take him 1.5 hours longer.
So, we can write
⇒ x = 1.5x - 22.5
⇒ 0.5x = 22.5
⇒ x = 45 miles (Answer)
The inverse of this function is y =
You can find the inverse of any function by switching the x and y values. Once you've done that, you can solve for the new y. The result will be the inverse of the function. The work for this one is below.
y = ----> Switch the x and y
x = -----> Add 9 to both sides
x + 9 = ----> Take the natural log (ln) of both sides. This will case the e to cancel on the right side.
ln(x + 9) = 2y ----> Divide both sides by 2.
y =
This will be your inverse function.
That would be 29.7
I hope this helps
Answer:33
Step-by-step explanation:
x-y=4 or x=y+4
2x=3y+3 or x=1.5y+1.5
x=y+4 and x=1.5y+1.5 so
y+4=1.5y+1.5 or 2.5=0.5y or y=5
plug y=5 into x=y+4 and you get x=9
plug in y=5 and x=9 into 2x+3y and you get 2*9+3*5=18+15=33
<span>y − 3(x − 1) = 0.
y - 3x + 3 = 0
y = 3x - 3
slope m = 3
y-intercept (0, -3)</span>