Answer:
(1) F(n) = 8050 -400n
(2) 16 days
Step-by-step explanation:
Tylor first day he has left 7,250feet left to climb, this means that he has already climbed his 400ft on his first day
This will produce an arithmetic series for the distances left to climb as each day passes
initial climb = 7,250+400 = 7,650
Arithmetic Series
7650 , 7250 , 6850 , 6450 ......
a = 7650 , d = -400
(1) Explicit formula
F(n) = a + (n-1)d
= 7650 + (n-1)(-400)
= 7650 +400 -400n
F(n) = 8050 -400n
(2) 8050 -400n = 1750
6300 = 400n
n = 6300 /400 = 15.75 = 16 days( approximately)
So after 16days (approximately) Taylor will have 1750ft left to climb.
Answer:
Step-by-step explanation:
A horizontal line has the equation "y = " something, while a vertical line has the equation "x = " something. If our line is horizontal through (3, 6), it will be horizontal through the y coordinate (and vertical through the x coordinate). Our equation is y = 6
(The vertical equation through this point would be x = 3, just so you understand what I meant above.)
To find the answer to this, first, multiply the denominator by the whole number. So 3 times 4.
12+1/4
Next, add together the numerator to the value and put that number as the numerator.
Final Answer: 13/4
Answer:
The inner function is 
and the outer function is 
.
The derivative of the function is 
.
Step-by-step explanation:
A composite function can be written as 
, where 
and 
are basic functions.
For the function 
.
The inner function is the part we evaluate first. Frequently, we can identify the correct expression because it will appear within a grouping symbol one or more times in our composed function.
Here, we have 
inside parentheses. So is the inner function and the outer function is .
The chain rule says:
![\frac{d}{dx}[f(g(x))]=f'(g(x))g'(x)](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%5Bf%28g%28x%29%29%5D%3Df%27%28g%28x%29%29g%27%28x%29)
It tells us how to differentiate composite functions.
The function is the composition, , of
outside function:
inside function:
The derivative of this is computed as
The derivative of the function is .
This is under point slope intercept. so Ax+Bx=Cx. you can always change this to slope intercept which will be -.6y=.2x+.12 then give 1 a variable like 1 or 2 or something. then solve it, -.6y=.2+.12, -.6y=.32, y=-.53 so when x is 1, y is -.53. then make x 2 so -.6y=.52 so then when x is 2 y is -.86
