Amount of money received when x tickets are sold=$Y
Number of tickets sold=X
Slope of line=
And , y- intercept = 8
Equation of line having slope m and y-intercept c is given by,
y = m x + c,
Expressing the above statement in terms of linear equation in two variable i.e a line is
Y = X + 8
Answer:
the height of the arch 10 feet from the center is 24 feet
Step-by-step explanation:
An arch is in the shape of a parabola. It has a span of 100 feet, the vertex lies at the center 50 and the maximum height of 25 ft.
Vertex at (50,25)
vertex form of the equation is
, (h,k) is the center
the parabola starts at (0,0) that is (x,y)
subtract 25 from both sides
divide both sides by 2500
the height of the arch 10 feet from the center.
center is at 50, 10 feet from the center so x=40 and x=60
y=24
the height of the arch 10 feet from the center is 24 feet
Complete Question
The complete question is shown on the first uploaded image
Answer:
The point of diminishing returns (x , y ) is (11, 21462)
Step-by-step explanation:
From the question we are told that
The function is
Here R(x) represents revenue (in thousands of dollars) and x represents the amount spent on advertising (in thousands of dollars).
Now differentiating R(x) we have
Finding the second derivative of R(x)
at inflection point
So
=>
substituting value of x into R(x)
Now the point of diminishing returns (x , y ) i.e (x , R(x) ) is
(11, 21462)
