Answer: (-infinity,10]
Step-by-step explanation: 50n is less than or equal to 500. So, treat the less than or equal to sign as an equal sign. Then do like regular and divide 500 by 50 to get ten on the right while N stays on the left. To get n is greater than or equal to 10!
Answer:
17
Step-by-step explanation:
Always put questions like these with an equal sign
3x + 2 = ?
plug in x value (x = 5)
3(5) + 2 = ?
solve
15 + 2 = ?
answer
17 = ?
Start with #47. To find the critical values, you must differentiate this function. x times (4-x)^3 is a product, so use the product rule. The derivative comes out to f '(x) = x*3*(4-x)^2*(-1) + (4-x)^3*1 = (4-x)^2 [-3x + 4-x]
Factoring this, f '(x) = (4-x)^2 [-3x+4-x]
Set this derivative equal to zero (0) and solve for the "critical values," which are the roots of f '(x) = (4-x)^2 [-3x+4-x]. (4-x)^2=0 produces the "cv" x=4.
[-3x+ (4-x)] = 0 produces the "cv" x=1. Thus, the "cv" are {4,1}.
Evaluate the given function at x: {4,1}. For example, if x=1, f(1)=(1)(4-1)^3, or 2^3, or 8. Thus, one of the extreme values is (1,8).
Pretty sure the answer is B.
