Y-y(1) = m(x - x(1))
y - 1 = (-3/4)(x + 8)
To find out how much Stan is paid a day, simply find out how many miles Stan drives per day, and multiply that with the amount Stan is paid per mile (in this case $3.50 per mile). Then, add that with the daily amount Stan earned (which is $75).
For example, on Monday, Stan drove a total of 30 miles (and he's paid $3.50 per mile).
Simply multiply $3.50 (per mile) with 30 (total number of miles driven), and that should equate to $105 earned for driving a total of 30 miles.
Then, add $105 (earned from driving 30 miles) to $75 (daily pay) and that equals $180.
Stan had been paid a total of $180 on Monday.
Answer:
3^x -2x +14
Step-by-step explanation:
I will assume you mean 3^x in the function f(x)
f(x) = 3^x+ 10
g(x) = 2x - 4
(f - g)(x) = 3^x+ 10 - (2x - 4)
Distribute the minus sign
= 3^x+ 10 - 2x + 4
= 3^x -2x +14
Given:
x and y are both differentiable functions of t.
To find:
The value of 
.
Solution:
We have,
...(i)
At x=-1,
Divide both sides by 3.
Taking cube root on both sides.
So, y=2 at x=-1.
Differentiate (i) with respect to t.
Putting x=-1, y=2 and 
, we get
Divide both sides by -8.
Therefore, the value of is 36.
