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3 years ago

Given f(x) and g(x) = f(k⋅x), use the graph to determine the value of k.

Mathematics

2 answers:

zepelin [54]3 years ago

6 0

Answer:

The answer is 3

Step-by-step explanation:

I took the quiz

(Please give me brainiest)

yan [13]3 years ago

3 0

Answer:

The value of k is 3.

Step-by-step explanation:

The function f(x) passes through the points (0,4) and (-6,-2)

So the equation of the function is $\frac{y-4}{4-(-2)} = \frac{x-0}{0-(-6)}$

⇒ y = x + 4 ....... (1)

Again the function g(x) passes through the points (0,4) and (-2,-2).

Therefore, the equation of g(x) will be $\frac{y-4}{4-(-2)} =\frac{x-0}{0-(-2)}$

⇒ y = 3x + 4

Therefore, g(x) = 3x + 4 = f(3x) {from equation (1).

So, the value of k is 3. (Answer)

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A gold, a silver, and a bronze medal are awarded in an Olympic event. In how many possible ways can the medals be awarded for a

RideAnS [48]

Answer:

720 possible ways

Step-by-step explanation:

The gold is awarded to the first position, the silver is awarded to the second position while the bronze is awarded to the third position.

The first position can be taken by any of the 10 runners

Now, the second position can be taken by remaining 9 runners

while the third position can be taken by the renaming 8 runners.

Thus, the number of ways in which these medals can be awarded = 10 * 9 * 8 = 720 ways

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3 years ago

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(3x+5)(3x+9) express as a trinomial

34kurt

Answer:

9x^2+42x+45

Step-by-step explanation:

Foil (3x+5)(3x+9) by taking the numbers in the left parenthesis and multiplying it by the numbers on the right. So 3x(3x), then 3x(9), then 5(3x) and 5(9). Now we have 9x^2 + 27x+15x+45, simplify to get 9x^2+42x+45.

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3 years ago

HEYPO PEEPS Mason wants to buy a present for his friend that costs $20. If Mason has $5 saved how much more will he need to save

kicyunya [14]

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Bottles filled by a certain machine are supposed to contain 12 oz of liquid. In fact the fill volume is random with mean 12.01 o

Irina-Kira [14]

Answer:

$P(X < 12) = 0.3660$

$P(X < 12) = 0.1521$

Step-by-step explanation:

Considering question a

From the question we are told that

The mean is $\mu = 12.01 \ oz$

The standard deviation is $\sigma = 0.35 \ oz$

The standard error of mean is mathematically represented as

$\sigma_{x} = \frac{\sigma}{\sqrt{n} }$

=> $\sigma_{x} = \frac{0.35}{\sqrt{144} }$

=> $\sigma_{x} = 0.02917$

Generally the probability that the mean volume of a random sample of 144 bottles is less than 12 oz is mathematically represented as

$P(X < 12) = P(\frac{X - \mu }{\sigma_{x}} < \frac{12 - 12.01 }{0.02917 } )$

$\frac{X -\mu}{\sigma_{x} } = Z (The \ standardized \ value\ of \ X )$

$P(X < 12) = P(Z < -0.3425 )$

From the z table the area under the normal curve to the left corresponding to -0.3425 is

$P(X < 12) = P(Z < -0.3425 ) = 0.3660$

=> $P(X < 12) = 0.3660$

Considering question a

From the question we are told that

The mean is $\mu = 12.03 \ oz$

Generally the probability that the mean volume of a random sample of 144 bottles is less than 12 oz is mathematically represented as

$P(X < 12) = P(\frac{X - \mu }{\sigma_{x}} < \frac{12 - 12.03 }{0.02917 } )$

$P(X < 12) = P(Z < -1.0274 )$

From the z table the area under the normal curve to the left corresponding to -1.0274 is

$P(X < 12) = P(Z < -1.0274 ) =0.1521$

=> $P(X < 12) = 0.1521$

3 0

3 years ago