Step 1: Find f'(x):
f'(x) = -6x^2 + 6x
Step 2: Evaluate f'(2) to find the slope of the tangent line at x=2:
f'(2) = -6(2)^2 + 6(2) = -24 + 12 = -12
Step 3: Find f(2), so you have a point on y=f(x):
f(2) = -2·(2)^3 + 3·(2)^2 = -16 + 12 = -4
So, you have the point (2,-4) and the slope of -12.
Step 4: Find the equation of your tangent line:
Using point-slope form you'd have: y + 4 = -12 (x - 2)
That is the equation of the tangent line.
If your teacher is picky and wants slope-intercept, solve that for y to get:
y = -12 x + 20
x = # of ham sandwiches
14-x = # of turkey sandwiches ( as Lexi made 14 sandwiches)
as the question said that the number of ha sandwiches are 4 less than twice number of turkey sandwiches,
x = 2 * (14-x) - 4 = 24 - 2x
3x=24
x = 8
the number of ham sandwiches is 8, and the number of turkey sandwiches is 14-8=6
Answer:
210 ml
Step-by-step explanation:
Answer:
12 cm
Step-by-step explanation:
12x15 (150)
2160/180
= 12 cm
Between 0 and 1, add dashes so you have a total of 6 marks including 0 and 1. Then count 3 over and that would be 3/5.
