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zaharov [31]
3 years ago
8

22 less than 5 times a number f

Mathematics
2 answers:
Naily [24]3 years ago
7 0

Answer:

5f-22

Step-by-step explanation:


Rasek [7]3 years ago
5 0

Answer:

22-5f

Step-by-step explanation:

22 less then 5 would be 22-5 and then you have 5 times a number f so that would make it 5f so you would just attach the f to the 5. I hope this is helpful and is what you are looking for.

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Write the linearization of the function at the points indicated. (Enter your answer as an equation. Let x be the independent var
Natalija [7]

Answer:

\displaystyle y=5+\frac{x}{10}

\displaystyle y=10+\frac{(x-75)}{20}

Step-by-step explanation:

<u>Linearization</u>

It consists of finding an approximately linear function that behaves as close as possible to the original function near a specific point.

Let y=f(x) a real function and (a,f(a)) the point near which we want to find a linear approximation of f. If f'(x) exists in x=a, then the equation for the linearization of f is

y=f(x)=f(a)+f'(a)(x-a)

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y=\sqrt{25+x}

at (0,5) and (75,10)

Computing f'(x)

\displaystyle f'(x)=\frac{1}{2\sqrt{25+x}}

At x=0:

\displaystyle f'(0)=\frac{1}{2\sqrt{25+0}}=\frac{1}{10}

We find f(0)

f(0)=\sqrt{25+0}=5

Thus the linearization is

\displaystyle y=f(0)+f'(0)(x-0)=5+\frac{1}{10}x

\displaystyle y=5+\frac{x}{10}

Now at x=75:

\displaystyle f'(75)=\frac{1}{2\sqrt{25+75}}=\frac{1}{20}

We find f(75)

f(75)=\sqrt{25+75}=10

Thus the linearization is

\displaystyle y=f(75)+f'(75)(x-75)=10+\frac{1}{20}(x-75)

\displaystyle y=10+\frac{(x-75)}{20}

5 0
3 years ago
the population of arizona is estimated go increase by 6.2% every year. if the population was 4.18 million in 2016 estimate popul
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Given:

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b.) The population was 4.18 million in 2016.

For us to be able to determine the population in 2022, we will be using the following formula:

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Where,

P = Total population after time (t)

P₀ = Starting population = 4.18 million

r = Growth rate (in decimal form) = 6.2%/100 = 0.062

t = time (in years) = 2022 - 2016 = 6 years

e = Euler's number = 2.71828182845

We get,

\text{ P = P}_0e^{rt}\text{ = (4,180,000)(}2.71828182845)^{0.062(6)}\text{ P = 6,063,645.861797897 }\approx\text{ 6,063,646}

Therefore, the population in 2022 will be approximately 6,063,646.

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Ierofanga [76]

Answer:

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If the area of a rectangle is 8.4 x 1012 ft2 and the length of the rectangle is 2.0 x 108 ft, what is the width of the rectangle
KATRIN_1 [288]
I hope this helps you

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