Answer:
P(x)=-2x^2+34x+98
The cost function is given by c(x)=21x-98
And the revenue function is given by r(x)=55x-2x^2
The profit function is the difference of revenue function and the cost function. Mathematically, we can write
p(x)=r(x)-c(x)
Substituting the values, we get
p(x)=55x-2x^2-(21x-98)
p(x)=-2x^2 + 34x = 98
Therefore, the profit function is
p(x) = -2x^2 + 34x + 98
Step-by-step explanation:
Answer:
I don't understand the question
Answer:
400 ft
Step-by-step explanation:
h(t)= -16t^2 + 160t
The vertex is found at
h = -b/2a where b is the coefficient of t and a is the coefficient of t^2
= -160/(2*-16)
-160/-32
5
The time where the maximum occurs is at t=5
To find the maximum substitute into the function
h(5) = -16 (5)^2 +160*5
= -16*25 +800
=-400+800
= 400
The maximum height is 400 ft
Answer:
The answer to your question is leg 2 = 0.9 in
Step-by-step explanation:
Data
Leg 1 = 4 in
hypotenuse = 4.1 in
Leg 2 = ?
Process
To solve this problem use the Pythagorean theorem, solve for leg 2 and simplify to get the result.
Pythagorean theorem
c² = a² + b²
or hypotenuse² = leg 1² + leg 2²
-Solve for leg 2²
leg 2² = hypotenuse² - leg 1²
-Substitution
leg 2² = 4.1² - 4²
-Simplification
leg 2² = 16.81 - 16
leg 2² = 0.81
leg 2 = 0.9 in
