Answer:
Option D In step 4 Keith should have subtracted 5 from each side
Step-by-step explanation:
step 1
we have
f(x)=7x+5 -----> given
step 1 is correct
step 2
Change f(x) to y
y=7x+5
so
step 2 is correct
step 3
Exchange x for y and y for x
x=7y+5
so
step 3 is correct
step 4
Subtract 5 each side
x-5=7y+5-5
x-5=7y
<u><em>step 4 is not correct</em></u>
step 5
Divide by 7 each side
(x-5)/7=y
step 6
Change y to g(x)
(x-5)/7=g(x)
step 7
switch sides of the equation
g(x)=(x-5)/7
therefore
In step 4 Keith should have subtracted 5 from each side
Y= 1x is the correct answer
The sum of the question is 5.
Answer:
57 days
Step-by-step explanation:
Given that:
t(0) = 26000
Growth rate (S'(t)) = 80t^1/2
Targeted number of subscribers = 49000
Take the integral of the growth rate :
∫80t^1/2dt = [(80t^(1/2 + 1)) / 1/2 + 1] + C
[(80t^(1/2 + 1)) / 1/2 + 1] + C = (80t^3/2) / 3/2 + C
(80t^3/2) * 3/2 + C = (160/3)t^3/2 + C
(160/3)t^3/2 + C
Let C = t(0)
(160/3)t^3/2 + 26000 = 49000
(160/3)t^3/2 = 49000 - 26000
(160/3)t^3/2 = 23000
Multiply both sides by 3/160
t^3/2 = 23000* 3/160
t^3/2 = 69000/160
t^3/2 = 431.25
t^(3/2 * 2/3) = 431.25^2/3
t = 57.080277
t = 57 days (approx.)
The answer is 65/8
simplify it and u get 8 1/8
in decimal form its 8.125, hope this helps
