Answer:
Step-by-step explanation:
Given that,
f(3) = 2
f'(3) = 5.
We want to estimate f(2.85)
The linear approximation of "f" at "a" is one way of writing the equation of the tangent line at "a".
At x = a, y = f(a) and the slope of the tangent line is f'(a).
So, in point slope form, the tangent line has equation
y − f(a) = f'(a)(x − a)
The linearization solves for y by adding f(a) to both sides
f(x) = f(a) + f'(a)(x − a).
Given that,
f(3) = 2,
f'(3) = 5
a = 3, we want to find f(2.85)
x = 2.85
Therefore,
f(x) = f(a) + f'(a)(x − a)
f(2.85) = 2 + 5(2.85 - 3)
f(2.85) = 2 + 5×-0.15
f(2.85) = 2 - 0.75
f(2.85) = 1.25
Answer:
87-13 = 74
Step-by-step explanation:
80x70= y and then 400 - y= your answer! Ignore the four in. Deep part
Answer:
Step-by-step explanation:
Stephen uses 
kilograms of tofu in each serving of his dish.
He has 
kilograms of tofu.
We want to determine how many servings Stephen can make.
To do this, we divide the total weight of tofu by the weight per serving.
Stephen can make .
<u>Answer:</u>
<u>20,000 packages.</u>
<u>Step-by-step explanation:</u>
The rest of the question is as following:
If x represents the number of packages of dog treats, how many packages do they have to sell to break even? Round your answer to the nearest whole number, and do not include units.
=========================================
The function of fixed and variable costs ⇒ C(x) = 1.4x + 2000
The function of revenue ⇒ R(x) = 1.5x
The even situation will happen when costs = revenue
∴ C(x) = R(x)
∴ 1.4 x + 2000 = 1.5x
Solve for x:
∴ 1.5x - 1.4x = 2000
∴ 0.1 x = 2000
∴ x = 2000/0.1 = 20,000
The even will happen when they sell <u>20,000</u> packages
So, To break even, they have to sell more than 20,000 packages .
