When 18 is divided by 2 the result is 9.
As in
18/2 = 9
Answer:
f^-1(x) = -1/8x +1/4
Step-by-step explanation:
To find the inverse of a function
Exchange x and y and then solve for y
y =-8x+2
Exchange x and y
x = -8y+2
Now solve for y
Subtract 2 from each side
x-2 = -8y+2-2
x-2 = -8y
Divide by -8
(x-2)/-8 = -8y/-8
Distribute
-1/8x +1/4 = y
f^-1(x) = -1/8x +1/4
<u>Given</u>:
The given function
which models the value of Mark’s car, where x represents the number of years since he purchased the car.
We need to determine the approximate value of Mark's car after 7 years.
<u>Value of the car:</u>
The value of the car after 7 years can be determined by substituting x = 7 in the function
, we get;



Rounding off to the nearest dollar, we get;

Thus, the approximate value of Mark's car after 7 years is $14278.
Hence, Option a is the correct answer.
<h3>Given</h3>
- C(t) = 40 cm + t·(2/5 cm/s) . . . circumference of a circle vs time
<h3>Find</h3>
- dr/dt for radius r
- r at t=4 seconds
<h3>Solution</h3>
The circumference and radius of a circle are related by
... C = 2πr
so the radius in terms of circumference is
... r = C/(2π)
... r(t) = (40 +0.4t)/(2π) = (1/π)(20 cm + 0.2t cm/s)
Then dr/dt is
... dr/dt = 0.2/π cm/s
And the radius at t=4 s is
... r(4) = (1/π)(20 + 0.2·4) cm
... r(4) = 20.8/π cm
Answer:
Standard Form
Step-by-step explanation:
Vertex form would be: (x-1)^2- 36