Answer:
The slope of f(x) is greater than g(x). In fact, it is double the slope of g(x). This means Reena can make envelopes two times as fast as Greg. But the y-intercept of g(x) is greater than f(x), meaning at 0 minutes, Greg starts with more envelopes than Reena. If they work for 20 minutes, Greg will have 10 more envelopes than Reena. But if they work longer than 30 minutes, Reena will have a larger stock of envelopes than Greg.
Step-by-step explanation:
answer from Plato
Answer:
c
Step-by-step explanation:
Answer: it is p
Step-by-step explanation:
Hello:
f(x) =6sin(x)
f'(x) = 6 cos(x)
the equation of the tangent line is : y=f'(π/6)(x-π/6)+f(<span>π/6)
f'(</span>π/6)=6cos(π/6)=6×(√3/2)=3<span>√3
f(</span>π/6) =3
the equation is : y = 3√3(x-π/6)+3
1) Since we have the slope, and one point we can find that linear equation using this point-slope formula. Plugging them we have:
![\begin{gathered} (y-y_0)=m(x-x_0) \\ y-1=-9(x-1) \\ y-1=-9x+9 \\ y=-9x+9+1 \\ y=-9x+10 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%28y-y_0%29%3Dm%28x-x_0%29%20%5C%5C%20y-1%3D-9%28x-1%29%20%5C%5C%20y-1%3D-9x%2B9%20%5C%5C%20y%3D-9x%2B9%2B1%20%5C%5C%20y%3D-9x%2B10%20%5Cend%7Bgathered%7D)
2) Note that we had to add 1 to both sides, to keep the "y "on the left.
3) Therefore, y=-9x+10 is the answer.