Mathematics: Given the function f(x) = x² + 3x - 2 What is the average rate of change for the function from 2 to 6? Show your work.

Given the function f(x) = x² + 3x - 2 What is the

Ответ:

PresleyPie9452

20.01.2022

Mathematics

The average rate of change is 11

Explanation:

The given function is $f(x)=x^{2}+3 x-2$

We need to determine the average rate of change for the function from 2 to 6

The average rate of change can be determined using the formula,

$\frac{f(b)-f(a)}{b-a}$

where a=2 and b=6

Now, we shall determine the values of f(2) and f(6) by substituting the values for x = 2 and x = 6 in the function $f(x)=x^{2}+3 x-2$

Thus, we have,

$f(2)=2^{2}+3 (2)-2$

=4+6-2

f(2)=8

Similarly, substituting x = 6, we get,

$f(6)=6^{2}+3 (6)-2$

=36+18-2

f(6)=52

Hence, substituting these values in the formula $\frac{f(b)-f(a)}{b-a}$ , we get,

$\frac{f(b)-f(a)}{b-a}=\frac{52-8}{6-2}$

Simplifying, we get,

$\frac{f(b)-f(a)}{b-a}=\frac{44}{4}=11$

Thus, the average rate of change for the function from 2 to 6 is 11

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Ответ:

jaydqueen3155

12.01.2021

Mathematics

140.32mL per hour

Step-by-step explanation:

Rate of leakage of nitrogen ballon = 75 mL/h

Rate of leakage of helium ballon = x

Molar mass of nitrogen= Mn = 14

Molar mass of helium = Mh = 4

Effusion formula

Rate of effusion of helium/ Rate of effusion of nitrogen= √(Molar mass of nitrogen/Molar mass of helium)

Rate of effusion of helium = 75mL/h * √(14/4)

= 140.32mL/h

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Given the function f(x) = x² + 3x - 2 What is the average rate of change for the function from 2 to 6? Show your work.

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