First we find the zeroes so we don't take the integral of negative bits
4x-x²
x(4-x)
zeroes at x=0 and x=4
it opens down
so the part we are interested in is the bit between x=0 and x=4
![\int\limits^4_0 {4x-x^2} \, dx =[2x^2- \frac{1}{3}x^3]^4_0=(32- \frac{64}{3})-(0)= 10.6666666666](https://tex.z-dn.net/?f=%20%5Cint%5Climits%5E4_0%20%7B4x-x%5E2%7D%20%5C%2C%20dx%20%3D%5B2x%5E2-%20%5Cfrac%7B1%7D%7B3%7Dx%5E3%5D%5E4_0%3D%2832-%20%5Cfrac%7B64%7D%7B3%7D%29-%280%29%3D%20%2010.6666666666)
or aout 10 and 2/3
C is answer
Hello there!
Number 2 certainly isn't an x or y intercept since it isn't meeting with any axis, however, it is the vertex of the parabola as shown in the graph.
Answer:
The corresponding element in the range when 5 is an element in the domain is 
Step-by-step explanation:
Given that the 5 is an element in the domain of f(x)
The function f is defined by 
To find the corresponding element in the range:
That is put x=5 in the given function f(x)
Therfore f(x) becomes
Therefore corresponding element in the range when 5 is an element in the domain is
Answer:
No Solution
Step-by-step explanation:
x+2=x+4
So first substract x by both sides.
x-x+2=x-x+4
2=4
There is no way that 2 is equal to 4 so therefore, the equation has no solutions.
Answer: B.
Step-by-step explanation: For example lets say the breeding occurs for 5 years. 5 x 5 would be 25. 25 + 68 would = 93 which is the amount of animals that are in captivity.
