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3 years ago

Consider the function f(x)= x^2 and the function g(x) shown below. how will the graph of g(x) differ from the graph of f(x)

Mathematics

2 answers:

ruslelena [56]3 years ago

4 0

Answer:

Step-by-step explanation:

The multiple "4" is the stretch factor. The stretch is parallel to y-axis, which is a vertical stretch

malfutka [58]3 years ago

3 0

Answer:

f(x) = x^2

g(x) = 4*x^2

=> For a value of x, the g(x) is 4 times larger than f(x).

=> g(x) is the stretched version of f(x) with stretched ratio = 4).

=> Option D is correct

Hope this helps!

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The mean student loan debt for college graduates in Illinois is $30000 with a standard deviation of $9000. Suppose a random samp

Nataly [62]

Answer:

the probability that the mean student loan debt for these people is between $31000 and $33000 is 0.1331

Step-by-step explanation:

Given that:

Mean = 30000

Standard deviation = 9000

sample size = 100

The probability that the mean student loan debt for these people is between $31000 and $33000 can be computed as:

$P(31000 < X < 33000) = P( X \leq 33000) - P (X \leq 31000)$

$P(31000 < X < 33000) = P( \dfrac{X - 30000}{\dfrac{\sigma}{\sqrt{n}}} \leq \dfrac{33000 - 30000}{\dfrac{9000}{\sqrt{100}}} )- P( \dfrac{X - 30000}{\dfrac{\sigma}{\sqrt{n}}} \leq \dfrac{31000 - 30000}{\dfrac{9000}{\sqrt{100}}} )$

$P(31000 < X < 33000) = P( Z \leq \dfrac{33000 - 30000}{\dfrac{9000}{\sqrt{100}}} )- P(Z \leq \dfrac{31000 - 30000}{\dfrac{9000}{\sqrt{100}}} )$

$P(31000 < X < 33000) = P( Z \leq \dfrac{3000}{\dfrac{9000}{10}}}) -P(Z \leq \dfrac{1000}{\dfrac{9000}{10}}})$

$P(31000 < X < 33000) = P( Z \leq 3.33)-P(Z \leq 1.11})$

From Z tables:

$P(31000 < X$

Therefore; the probability that the mean student loan debt for these people is between $31000 and $33000 is 0.1331

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3 years ago

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yan [13]

Answer:

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Step-by-step explanation:

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Answer:

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2 years ago

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2 years ago

What is -14+5k-3= simplifying

andrew11 [14]

Answer:

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Step-by-step explanation:

-14+5k-3=5k-14-3=5k-17

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3 years ago