Answer:
Therefore,the required factors are ( x - 16 ) and ( x + 3 )is
Step-by-step explanation:
Given:
To Factorize:
Solution:
First remove the factor of -48 such that you multiply the two number, the Product should be -48 and the SUM should be -13.
-48 = -16 × 3
Here, -16 and 3 are the two required numbers
now the given expression we will split the middle term and Factorize the given equation.
Therefore,the required factors are ( x - 16 ) and ( x + 3 )
Answer:
The correct answer is NO. The best price to be charged is $3.75
Step-by-step explanation:
Demand equation is given by Q = 30 - 4P, where Q is the quantity of necklaces demanded and P is the price of the necklace.
⇒ 4P = 30 - Q
⇒ P =
The current price of the necklace $10.
Revenue function is given by R = P × Q = × ( 30Q -
)
To maximize the revenue function we differentiate the function with respect to Q and equate it to zero.
=
× ( 30 - 2Q) = 0
⇒ Q = 15.
The second order derivative is negative showing that the value of Q is maximum.
Therefore P at Q = 15 is $3.75.
Thus to maximize revenue the price should be $3.75.
Answer:
Vertical asymptote: x=2
Horizontal asymptote: y=5
Step-by-step explanation:
Hi there!
The parent function for a rational function has a horizontal asymptote at y=0 and a vertical asymptote at x=0.
First, we want to perform long division on 5x/x-2. Please check the image attached.
The result is .
Here are the transformations of a rational function:
a = vertical stretch
b = horizontal stretch
h = horizontal translation
k = vertical translation
Stretches don't change the location of the asymptotes, only the translations do.
According to , we applied a horizontal translation of 2 units right and a vertical translation of 5 units up. Therefore, our asymptotes are now x=2 and y=5.
I hope this helps!
