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4 years ago

Suppose that Fx) = x3 and G(x) = -2x2. Which statement best compares the

Mathematics

1 answer:

Rudiy274 years ago

8 0

Answer:

Step-by-step explanation:

you can just find the value of y and try some number of x

i.e. if x = 0, both of them will be 0

x = 1

G(x) result is -2

F(x) result is 1

x= -1

G(x) result will be 2

F(x) result is -1

so from these we can prove that G(x) is bigger graph than F(x) but flip vertically by y axis

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A pendulum swings 80 cm on its first swing, 76 cm on its second swing, 72.2 cm on its third swing, and 68.59 cm on its fourth sw

Kisachek [45]

Answer:

$a_{n} = 80*(0.95)^{n-1}$

Step-by-step explanation:

Geometric sequences:

The nth term of a geometric sequence is given by the following equation.

$a_{n+1} = ra_{n}$

In which r is the common ratio.

This can be expanded for the nth term in the following way:

$a_{n} = a_{1}r^{n-1}$

In which $a_{1}$ is the first term.

In this question:

$a_{1} = 80, r = \frac{68.59}{72.2} = \frac{72.2}{76} = \frac{76}{80} = 0.95$

a. If the pattern continues, what explicit formula can be used find the distance of the nth swing?

$a_{n} = a_{1}r^{n-1}$

$a_{n} = 80*(0.95)^{n-1}$

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3 years ago

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3 years ago

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Answer:

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1 year ago

A logarithm question: 3² +㏒₂5

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4 years ago

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Julissa is running a 10-kilometer race at a constant pace. After running for 18 minutes, she completes 2 kilometers. After runni

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After running for 18 minutes, Julissa completes 2 kilometers. If she is running a 10-kilometer race at a constant pace, then she comletes 1 kilometer after running 9 minutes. Now you can find the distance she run after 1 minute. This is $\dfrac{1}{9}$ km.

Let t be the time in minutes. Then k, the number of kilometers, can be found from proportion:

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k km - t minutes.

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$\dfrac{\dfrac{1}{9}}{k}=\dfrac{1}{t},\\ \\k=\dfrac{1}{9}\cdot t.$

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