Answer:
Noah mistakenly added 25 and 7 in denominator instead of subtracting in the third step.
Step-by-step explanation:
Noah had to rationalize the denominator of 
According to him,

Solving the nominator and denominator

Noah did correctly till this point.
In the next step he add 25 and 7 in the denominator, whereas, it should be subtracted.
Hence,
Noah mistakenly added 25 and 7 in denominator instead of subtracting in the third step.
Answers and Step-by-step explanation:
12: The 5s are worth a lot more than the 2s. The 5s are worth fifty thousand and five thousand whereas the 2s are only worth two hundred and twenty.
13: She needs 4 forks (2000 - 1996 = 4)
She needs 255 knives (2000 - 1745 = 255)
She has 226 extra spoons ( 2116 - 2000 = 116)
Answer:
Step-by-step explanation:
The average rate of change of a function f between a and b (a< b) is :
R =[f(b)-f(a)] ÷ (a-b)
●●●●●●●●●●●●●●●●●●●●●●●●
Let R be the average rate of change of this function
f(6) = 2×6^2 - 7×6 = 72-42 = 30
f(2) = 2×2^2 - 7×2 = 8-14 = -6
R = [f(6) - f(2)]÷ (6-2)
R = [30-(-6)] ÷ 4
R = -36/4
R = -9
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The average rate of change of this function is -9
The radius would be 75.36. In order to receive this answer, you must do 48 times 3.14. You will then receive an answer of 150.72. Then, you have to divide 150.72 by 2 in order to obtain your final answer : 75.36.
Answer:
.
Step-by-step explanation:
The linear approximation is given by the equation

Linear approximation is a good way to approximate values of
as long as you stay close to the point
, but the farther you get from
, the worse your approximation.
We know that,

Next, we need to plug in the known values and calculate the value of
:

Then
.