Question 3

Mathematics

1 answer:

Ivenika [448]3 years ago

5 0

Answer:

If the center of rotation is changed, the pentagon maps back on itself only one time, when the value of a is 360 degrees- that is, when the pentagon completes a full rotation.

Step-by-step explanation:

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Given the function f(x)=3x -2 and g(x)= x+2/3 complete parts A and B.

deff fn [24]

First, I should point out that g(x) should be written as g(x)=(x+2)/3, otherwise the problem is confusing.

$f(x)=3x-2 \enspace g(x)=\frac{x+2}{3}$

(A) $f(g(x))=3(\frac{x+2}{3})-2=x\\g(f(x))=\frac{3x-2+2}{3}=x$

(B) Since $f(g(x))=x$ and $g(f(x))=x$ , it holds that

$f(g(x))=g(f(x))$ for all x. This means the composed functions are *identical*

7 0

4 years ago

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Help me please I will give you brainliest btw I need this asap

Yuki888 [10]

It’s 3.4 because 3.4 times itself equals 11.56 which is the closest to 11.

3 0

4 years ago

John's commute time to work during the week follows the normal probability distribution with a mean time of 26.7 minutes and a s

STatiana [176]

Answer:

0.32493

Step-by-step explanation:

We have been given that John's commute time to work during the week follows the normal probability distribution with a mean time of 26.7 minutes and a standard deviation of 5.1 minutes.

We are asked to find the probability that the commute time for a randomly selected day will be between 28 and 34 minutes.

First of all, we will find z-score corresponding to 28 minutes and 34 minutes. Then, we will find area under normal curve between both z-scores.

$z=\frac{x-\mu}{\sigma}$