Answer:
1.49
Step-by-step explanation:
In order to find the slope of the tangent line to a given equation, and in a given point, we need to:
1. Find the first derivative of the given function.
2. Evaluate the first derivative function in the given point.
1. Let's find the first derivative of the given function:
The original function is 
But remeber that the derivative of
is 
so, 
2. Let's evaluate the first derivative function in the given point
The given point is (0.4,1.49) so:



Notice that the calculated slope of the tangent line is equal to the y-coordinate of the given point because f'(x)=f(x). In conclusion, the slope of the tangent line is equal to 1.49.
Answer:
The equation to determine the normal price of each cookie is
7(x - 0.75) = 2.80
The normal price of each cookie = $1.15
Step-by-step explanation:
Let us represent the normal price of a cookie as : x
We are told that:
Today each cookie costs \$0.75less than the normal price.
The price of a cookie today is
x - 0.75
Right now if you buy 7 of them it will only cost you \$2.80$
Hence:
7(x - 0.75) = 2.80
Solving for x
7x - 5.25 = 2.80
7x = 2.80 + 5.25
7x = 8.05
x = 8.05/7
x = $1.15
The normal price of each cookie = $1.15
Answer:
5
Step-by-step explanation:
m + p - p^2 ÷ 6
Let m = 5 and p=6
5 + 6 - 6^2 ÷ 6
Exponents first
5 + 6 - 36 ÷ 6
Then divide
5 + 6 - 6
Then add and subtract from left to right
11-6
5
Answer:
I believe your answer is 452.39
Step-by-step explanation: