어떤 카페에서 샌드위치 1 개에 2800 원, 베이글은 1 개에 1900 원에 판매하고 있다. 이 카페에서 3000 원짜리 라떼 1 잔과 샌드위치 \( x \) 교, 베이글 \( y \) 개를 사고 16200 원을 지불혔을 때 다음 증 \( x, y \) 에 대한 일차방정식으로 옳은 것은?

Calculate \( \frac{d^{2} y}{d x^{2}} \) \( \frac{d^{2} y}{d x^{2}}=0.6 x^{-0.2} \)

Are the functions inverses? \( f(x)=46 x-45 \) \( g(x)=\frac{x}{46}+45 \)

Question 14 Find all zeros of \( f(x)=x^{3}+3 x^{2}-12 x-10 \). Enter the zeros separated by commas. Enter exact value, not decimal approximations.

\( \frac{7}{y+1}+\frac{5}{3 y}=\square \) (Simplify your answer.)

A population of a particular yeast cell develops with a constant relative growth rate of 0.4589 per hour. The initial population consists of 3.6 million cells. Find the population size (in millions of cells) after 3 hours. Step 1 Since the relative growth rate is 0.4589 per hour, then the differential equation that models this growth with \( P \) in millions of cell and \( t \) in hours is \( \frac{d P}{d t}=0.4589 P \) Step 2 We know that \( P(t)=P(0) e^{k t} \), where \( P(0) \) is the population on day zero and \( k \) is the growth rate. Substitute the values \( P(0) \) and \( k \) into \( P(t) \) (in millions of cells). \( P(t)=P(0) e^{k t} \) million cells \( = \)