Answer:
![-2x^3+2x^{1/2}](https://tex.z-dn.net/?f=-2x%5E3%2B2x%5E%7B1%2F2%7D)
Step-by-step explanation:
First, you have to substitute both functions into the equation to get:
![f(x)-g(x) = (x^{1/2}-x) - (2x^3-x^{1/2}-x)](https://tex.z-dn.net/?f=f%28x%29-g%28x%29%20%3D%20%28x%5E%7B1%2F2%7D-x%29%20-%20%282x%5E3-x%5E%7B1%2F2%7D-x%29)
Then, you distribute the negative sign in front of g(x) to get:
![= x^{1/2} - x -2x^3+x^{1/2}+x](https://tex.z-dn.net/?f=%3D%20x%5E%7B1%2F2%7D%20-%20x%20-2x%5E3%2Bx%5E%7B1%2F2%7D%2Bx)
And finally, you add/subtract the x's that have the same power to get:
![=-2x^3+2x^{1/2}](https://tex.z-dn.net/?f=%3D-2x%5E3%2B2x%5E%7B1%2F2%7D)
Answer:
x>-4
Step-by-step explanation:
Easy, -7x + 13 > 41 from here you subtract 13 from each side giving you -7x >28 after this you divide by -7.
Answer:
Area = 2025 miles²
Perimeter = 180 miles
Step-by-step explanation:
Given the following :
Scale of drawing = 1 inch : 5 miles
Length of side of the scale drawing = 9 inches
To find The actual perimeter and area of the square, we need ;
Actual length of the drawing :
1 inch = 5 miles
9 inches = (5 × 9) miles = 45 miles
Hence,
Area of a square = a²
Where a = side length
Actual side length = 45 miles
Actual area of square = 45² = 2025 miles²
Actual Perimeter of square :
Perimeter of a square = 4a
a = side length
Actual perimeter = 4(45) = 180 miles