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:
la Navidad
(25 de diciembre)
la Nochebuena
(24 de diciembre)
Step-by-step explanation:
Answer:
Number of sodas sold: 78
Number of hot dogs sold: 24
Step-by-step explanation:
Number of sodas sold = x
Number of hot dogs sold = x - 54
Total number of sodas and hot dogs = x + x - 54 = 2x - 54
Total number = 102
2x - 54 = 102
2x = 156
x = 78
Number of sodas sold = x = 78
Number of hot dogs sold = x - 54 = 78 - 54 = 24
Answer:
Number of sodas sold: 78
Number of hot dogs sold: 24
Answer:
Step-by-step explanation:
x² +7x + 6 = (x+1)(x+6)
<em>a = 17</em>
<em>b = 18</em>
<em>c = 19</em>
- <em>Step-by-step explanation:</em>
<em>Hi there ! </em>
<em>a + b + c = 54</em>
<em>b = a + 1</em>
<em>c = a + 2</em>
<em>replace b ; c</em>
<em>a + (a + 1) + (a + 2) = 54</em>
<em>3a = 54 - 3</em>
<em>3a = 51</em>
<em>a = 51 : 3</em>
<em>a = 17</em>
<em>b = 18</em>
<em>c = 19</em>
<em>Good luck !</em>