To calculate the inverse isolate x on one side and switch x with y on both sides
1)
y=(2x-3)/5
5y=2x-3
5y+3=2x
(5y+3)/2=x
-> f(x)=(5x+3)/2
2)
y=(x+8)/2
2y=x+8
2y-8=x
-> f(x)=2x-8
3)
y=(x+2)/7
7y=x+2
7y-2=x
-> f(x)=7x-2
4)
y=(1-2x)/x
y=(1/x)-2
y+2=1/x
x=1/(y+2)
-> f(x)=1/(x+2)
Answer:
B. False
Step-by-step explanation:
Given

Required
Is the distance between them 
Given that there are two points, the distance between them is calculated using
Distance = 
In this case;

Substitute these in the given formula
Distance = 
Comparing this with the given formula, both are not the same;
Hence, the formula is false and the correct formula is of the form 

1) Since this is a Continuously Compounded operation in a 10 yrs period, then we can write out the following equation:

2) Plugging into the equation the given data and since Otto is 20 yrs old and he plans to get $4,000 in ten years, we can write out:

3) Thus the rate Otto needs is

Note that since the 0.1386 the six here is greater than 5 then we can round up to the next thousandth, in this case: 0.139. For the 0.1386 is closer to 0.139 (0.004) than to 0.138 (0.006).
Or 13.9%
The numerator could be written a⁴/⁵
The denominator could be written a²/³
Now solve ( a⁴/⁵) / (a²/³) ==> a⁽⁴/⁵ ⁻²/³) = a⁽²/¹⁵)
This is the simplest way
Answer:
distance=rate*time
2520=(r)(3)+(r+90)(3) (they both travel for 3 hours)
2520=3r+3r+270
2520-270=6r
2250=6r
r=2250/6
r=375 mph
r+90=375+90=465 mph
Step-by-step explanation: