Answer:
(a) f'(1)=-4
(b) y+4x-4=0
Step-by-step explanation:
<u>Tangent Line of a Function</u>
Given f(x) a real differentiable function in x=a, the slope of the tangent line of the function in x=a is given by f'(x=a). Where f' is the first derivative of f.
We are given
The derivative is
(a) The slope of the tangent line at (1,0) is
(b) The equation of the tangent line can be found with the general formula of the line:
Where m is the slope and the point (xo,yo) belongs to the line. We have m=-4, xo=1, yo=0, thus
Or, equivalently
Answer:
Conditional probability is probability of a second event given a first event has already occurred.
Step-by-step explanation:
Answer:
The company manufactures about 350 canoes, obtaining $ 28,000 after selling them all.
Step-by-step explanation:
Given that a company that manufactures small canoes has a fixed cost of $ 14,000, and it cost $ 40 to produce each canoe while the selling price is $ 80 per canoe, to determine the number of canoes that the company produces and the amount of money it makes after selling them, the following calculation must be carried out:
14/000 / 40 = X
350 = X
350 x 80 = 28,000
Thus, the company manufactures about 350 canoes, obtaining $ 28,000 after selling them all.
Answer:
Step-by-step explanation:
Answer:
x=-5.25
y=13.75
Step-by-step explanation:
5x+3(-3x-2)=15
5x+-9x+-6=15
-4x+-6=15
-4x+-6+6=15+6
-4x=21
