Doanh nghiệp có các hàm số sau: P= 2.000-2Q; TC=2Q2+500 (P: đvt/đvq; Q: đvq; TC, TR: đvt). Để tối đa hóa lợi nhuận thì doanh nghiệp sẽ sản xuất ờ
sản lượng Q, giá bán P và lợi nhuận cực đại là bao nhiêu?

Identify the initial amount a and the growth factor b in the exponential function. a(x)=680*4.3^x

He graph of f(x) = |x| is stretched by a factor of 0.3 and translated down 4 units. which statement about the domain and range of each function is correct? the range of the transformed function and the parent function are both all real numbers greater than or equal to 4. the domain of the transformed function is all real numbers and is, therefore, different from that of the parent function. the range of the transformed function is all real numbers greater than or equal to 0 and is, therefore, different from that of the parent function. the domain of the transformed function and the parent function are both all real numbers.

Johnny rode his bike to a friends house 4 blocks down the street in his neighborhood. he immediately rode back home once he realized his friend was unable to play. what was his displacement for the total bike ride trip? what could you use as a reference point ? show the steps to solve this problem.