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Colt1911 [192]
3 years ago
5

Find the average rate of change of the function

Mathematics
2 answers:
max2010maxim [7]3 years ago
3 0
X1 = 4 so sqrt(4) = 2
x2 = 9 so sqrt(9) = 3
3-2 = 1

9-4 = 5

rate of change = 1/5
Darya [45]3 years ago
3 0
To the risk of being redundant

\bf slope = m = \cfrac{rise}{run} \implies 
\cfrac{ f(x_2) - f(x_1)}{ x_2 - x_1}\impliedby 
\begin{array}{llll}
average~rate\\
of~change
\end{array}\\\\
-------------------------------\\\\
f(x)=  \sqrt{x} \qquad 
\begin{cases}
x_1=4\\
x_2=9
\end{cases}\implies \cfrac{f(9)-f(4)}{9-4}\implies \cfrac{\sqrt{9}-\sqrt{4}}{5}
\\\\\\
\cfrac{3-2}{5}\implies \cfrac{1}{5}
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The diameter of a circle is 5 ft. Find the circumference TO THE NEAREST TENTH
Citrus2011 [14]

Answer:

15.7

Step-by-step explanation:

3.14(5)

4 0
3 years ago
(NEED HELP ASAP!!) You are saving for a skateboard. Your aunt gives you $45 to start, and you save $3 each
nekit [7.7K]

Answer:

$63

Step-by-step explanation:

You have the constant, $45. You then receive $3 each week. This can be written at $45 + $3w, where w is the number of weeks. So in this case, we need to find out how much money you will have after 6 weeks. We just need to plug in 6 weeks into the equation. The new equation will now be $45 + $3(6).

3 times 6 is $18.

$45 + $18 will give you a final answer of $63.

5 0
3 years ago
Read 2 more answers
3^-2 expanded form
Zanzabum

3^(-2) = 1/(3^2) = 1/(3*3) = 1/9

The rule used here is x^(-y) = 1/(x^y) to make the exponent positive.

3^2 turns into 3*3 because the exponent 2 tells us how many copies of the base '3' to multiply out.

5 0
3 years ago
​write the logarithm as a sum or difference of logarithms. simplify each term as much as possible. log4(6ab)
Dominik [7]

The logarithm written as a sum of logarithm and simplified as much as possible is \frac{1}{2} +log_{4 }3 +  log_{4 }a + log_{4 }b

<h3>Simplifying Logarithms</h3>

From the question, we are to write the given logarithm expression as a sum or difference of logarithms

The given logarithm is

log_{4 }6ab

This can be written as

log_{4 }6 \times a \times b

From one of the rules of logarithm, we have that

log_{x }yz= log_{x }y + log_{x }z

Thus,

log_{4 }6 \times a \times b  becomes

log_{4 }6 + log_{4 }a + log_{4 }b

This can be further simplified into

log_{4 }3 \times 2 + log_{4 }a + log_{4 }b

log_{4 }3 + log_{4 }2 + log_{4 }a + log_{4 }b

If desired, this can be further simplified into

log_{4 }3 + log_{2^{2}  }2 + log_{4 }a + log_{4 }b

log_{4 }3 + \frac{1}{2} log_{2}2 + log_{4 }a + log_{4 }b

log_{4 }3 + \frac{1}{2} (1)+ log_{4 }a + log_{4 }b

\frac{1}{2} +log_{4 }3 +  log_{4 }a + log_{4 }b

Hence, the logarithm written as a sum of logarithm and simplified as much as possible is \frac{1}{2} +log_{4 }3 +  log_{4 }a + log_{4 }b

Learn more on Simplifying logarithms here: brainly.com/question/17851187

#SPJ1

8 0
2 years ago
F(n)=45⋅(4/5)^n−1<br> complete the recursive formula of f(n)
Radda [10]

F(1) = 45

f(n) = f(n-1) * 4/5

Step-by-step explanation:

f(n) = 45 x (4/5)ⁿ⁻¹

f(1) = 45 x (4/5)¹⁻¹ = 45 x (4/5)⁰ = 45 x 1 = 45

f (n-1) = 45 x (4/5)ⁿ⁻¹⁻¹ = 45 x (4/5)ⁿ⁻²

f(n) = f(n-1) * (4/5)¹ = 45 x (4/5) ⁿ⁻²⁺¹ = 45 x (4/5)ⁿ⁻¹

7 0
3 years ago
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