(0, 3) so b = 3 and slope = -5/4
equation
y = -5/4x + 3
answer
B. y = -5/4x + 3
The answer is 67% because it rounds to 67%
A=h•b/2
h=2x+1
b=2x
A=(2x+1) •2x/2
Divide numerator and denominator by 2
A=x(2x+1)
Answer:
Analyzed and Sketched.
Step-by-step explanation:
We are given ![y=\frac{\ln\left(5x)}{x^2}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B%5Cln%5Cleft%285x%29%7D%7Bx%5E2%7D)
To sketch the graph we need to find 2 components.
1) First derivative of y with respect to x to determine the interval where function increases and decreases.
2) Second derivative of y with respect to x to determine the interval where function is concave up and concave down.
![y'=\frac{1-2\ln\left(5x)}{x^3}=0](https://tex.z-dn.net/?f=y%27%3D%5Cfrac%7B1-2%5Cln%5Cleft%285x%29%7D%7Bx%5E3%7D%3D0)
is absolute maximum
![y''=\frac{6\ln\left(5x)-5}{x^4}=0](https://tex.z-dn.net/?f=y%27%27%3D%5Cfrac%7B6%5Cln%5Cleft%285x%29-5%7D%7Bx%5E4%7D%3D0)
is the point concavity changes from down to up.
Here, x = 0 is vertical asymptote and y = 0 is horizontal asymptote.
The graph is given in the attachment.
Answer:
Since Paula has her own business of making cakes for special occasions, and the total price (P) of one of Paula's cakes is represented by the equation P = 0.75S +10, where S is the number of people the cake serves, for determine what does the 0.75 represent in this situation and what does the 10 represent in this equation, the following mathematical reasoning must be carried out:
P is the price of the cake
S is the number of servings
Therefore, 0.75 is the value of each serving, which can be variable (the number of servings can vary)
In turn, 10 is the fixed cost of each cake.