Answer:
12.5r + 200 = 12.5*2r
Step-by-step explanation:
<h3>Given</h3>
Rate of Hoppertunity = r
Rate of Dortmund = 2r as it is twice as fast
<h3>Solution</h3>
Let the distance Hoppertunity runs be d, then the distance Dortmund runs is d + 200 m
Since it took 12.5 seconds Dortmund to catch Hoppertunity, it can be expressed as:
- d = 12.5r for Hoppertunity
- d + 200 =12.5*2r for Dortmund
<u>By replacing d in the second equation, we get:</u>
<u>Soving</u>:
- 12.5r = 200
- r = 200/12.5
- r = 16 m/sec
Hoppertunity's rate is 16 m/sec
Dortmund's rate is 32 m/sec
Inverse of the function 2x-6y=1
To get the inverse of the function, first, interchanged
the variables such x will be y and y will be x.
<span>(1) </span><span> 2y – 6x = 1</span>
Then, find the value of y in the new equation,
<span>(2) </span><span> 2y – 6x + 6x = 1 + 6x</span>
2y
= 1 + 6x
<span>(3) </span>(1/2)(2y)
= (1 + 6x)(1/2)
<span> y = (1 + 6x) / 2</span>
<span>The reverse of the function
is y
= (1 + 6x)/2.</span>
80.98498747 is your answer
The greatest common factor is 3
Round down to 54.6 because it is 5 or less.
