Answer:
57 11/15
Step-by-step explanation:
ok
.008 is the answer you are looking for :)
Answer:
The domain of function
is set of all real numbers.
Domain: (-∞,∞)
Step-by-step explanation:
Given:
![f(x)=x-6](https://tex.z-dn.net/?f=f%28x%29%3Dx-6)
![g(x)=x+6](https://tex.z-dn.net/?f=g%28x%29%3Dx%2B6)
the domain of both the above functions is all real number.
To find domain of :
![h(x)=f(x)g(x)](https://tex.z-dn.net/?f=h%28x%29%3Df%28x%29g%28x%29)
Substituting functions
and
to find ![h(x)](https://tex.z-dn.net/?f=h%28x%29)
![h(x)=(x-6)(x+6)](https://tex.z-dn.net/?f=h%28x%29%3D%28x-6%29%28x%2B6%29)
The product can be written as difference of squares. ![[a^2-b^2=(a+b)(a-b)]](https://tex.z-dn.net/?f=%5Ba%5E2-b%5E2%3D%28a%2Bb%29%28a-b%29%5D)
∴ ![h(x)=x^2-36](https://tex.z-dn.net/?f=h%28x%29%3Dx%5E2-36)
The degree of the function
is 2 as the exponent of leading term
is 2. Thus its a quadratic equation.
For any quadratic equation the domain is set of all real numbers.
So Domain of
is (-∞,∞)
Answer:
The width which gives the greatest area is 7.5 yd
Step-by-step explanation:
This is an application of differential calculus. Given the area as a function of the width, we simply need to differentiate the function with respect to x and equate to zero which yields; 15-2x=0 since the slope of the graph is zero at the turning points. Solving for x yields, x=7.5 which indeed maximizes the area of the pen
This is easy if im right then it should be 1,000 because look at it this way they charge 55$ and they need to raise 55,000$ and what number has three zeros right off your 1,000 right so times that together and its 55,000