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
X = 1 and y = 4 , if you need to show work lemme know i will show you how i got the answer.
So the answer would be 8+9n≥80. The reason why is because he has $80 and he saved $8 and he earned $9 for each hour but we do not know how many hours so that is why it is n. and it says minimum so u might think that it might be ≤ but my sister says to think the opposite so the symbol will be ≥.
<u>Check: </u> <u>IT SAYS THAT N IS GREATER THAN 8 SO CHOOSE A NUMBER GREATER THAN 8 WHICH CAN BE 9.</u><u>
</u>
8+9n≥80
8+9*9≥80
8+81≥80
90≥80, so this makes sense.
Answer:
a
Step-by-step explanation:
Answer:
18 1/2 or 37/2
Step-by-step explanation:
To calculate the average of something, we add the numbers and divide by the count of those numbers. In this case, we have this as the sum of the numbers:
9 × 20 + 4 × 19 + 3 × 18 + 5 × 17 + 12
And the number of students as the count:
9 + 4 + 3 + 5 + 1
Now to calculate that out:
(9 × 20 + 4 × 19 + 3 × 18 + 5 × 17 + 12)/(9 + 4 + 3 + 5 + 1) ⇒
(180+76+54+85+12)/(9+4+3+5+1) ⇒
407/22 ⇒
37/2⇒
18 1/2
