All categories

3 years ago

Which statement describes the graph of function g compared to function f?

Mathematics

1 answer:

emmasim [6.3K]3 years ago

3 0

Answer: OPTION B.

Step-by-step explanation:

Below are some transformations for a function f(x):

1. If $f(ax)$ and $a>1$ , the function is compressed horizontally by a factor of $\frac{1}{a}$ .

2. If $f(ax)$ and $0$ , the function is stretched horizontally by a factor of $\frac{1}{a}$ .

3. If $bf(x)$ and $0$ , the function is compressed vertically by a factor of "b".

4. If $bf(x)$ and $b>1$ , the function is stretched vertically by a factor of "b".

In this case you have the function f(x):

$f(x)=6^{x-2}$

And the function g(x):

$g(x)=0.4(6)^{x-2}$

So, you can identify that:

$g(x)=bf(x)$ and $0$

Therefore, the graph of the function g(x) is a vertical compression of the graph of function f(x).

You might be interested in

In the parallelogram below, solve for Y Options 4 10 25 100

Lapatulllka [165]

Answer:

x = 4

y = 4

Step-by-step explanation:

the front triangle has two 40° angles (sum of all ∡'s must be 180°)

the unlabeled lower-left angle then is 40°; this angle corresponds to the angle in the other triangle labeled as 10y°

therefore, 10y = 40 so y = 4

Since opposite angles in a parallelogram are congruent then we can write:

40° + 25x° = 100° + 10(4)°

25x° = 140 - 40°

25x = 100°

x = 4

6 0

3 years ago

If a watch has a 0.12 defect rate. what is the probability that the watch has fewer than 3 defects in a run of 75 chimes?

Maslowich

Answer:

$(\frac{88}{100})^{75} + \binom{75}{1} (\frac{88}{100})^{74}(\frac{12}{100}) + \binom{75}{2} (\frac{88}{100})^{73}(\frac{12}{100})^{2}$

Step-by-step explanation:

If a watch has fewer than three defects, then either 1.) It has no defects, 2.) it has exactly 1 defect, or 3.) it has exactly 2 defects.

1.) The probability that the watch has no defects is $(\frac{88}{100})^{75}$ , because for every chime there is a probability of $\frac{88}{100}$ that there is no defect

2.) The probability that the watch has exactly 1 defect is $(\frac{88}{100})^{74}(\frac{12}{100})$ times the number of ways you can choose 1 of 75 of the chimes to be defective, which is $\binom{75}{1}$ , so the probability that the watch has exactly 1 defect is $\binom{75}{1} (\frac{88}{100})^{74}(\frac{12}{100})$ .

3.) For the same reason as 2.), the probability that the watch has exactly two defects is $\binom{75}{2} (\frac{88}{100})^{73}(\frac{12}{100})^{2}$

Since 1.), 2.), and 3.) are mutually exclusive events, the probability of their union is simply the probability of each of them added together, which is $(\frac{88}{100})^{75} + \binom{75}{1} (\frac{88}{100})^{74}(\frac{12}{100}) + \binom{75}{2} (\frac{88}{100})^{73}(\frac{12}{100})^{2}$

8 0

3 years ago

Paul rented a bike from Lea's Bikes. It cost

Llana [10]

Answer:

Step-by-step explanation:

..................

8 0

3 years ago

Read 2 more answers

Rewrite the expression as a product of two factors. 72t+8

Aneli [31]

Step-by-step explanation:

The above given expression "72t+8 " have to be factorized by the following methods.

Step 1 :

First we must check both numbers in order to obtain common factor for both ,for this equation "8" is the common factor for both .

Step 2:

After obtaining the common factor for the equation equation, we must now take the factor as common outside the bracket and form the equation as follows,

⇒ 8 * ( 9*t + 1 )

Here there are the two factors for the equation " 72 t+ 8 " that are 8 and 9t+1.

Step 3 (optional) :

Now check weather the factors are correct or not by multiplying factors with each other.

Multiplying ,

⇒ 8 * ( 9*t + 1 )

Gives -

⇒ 72 t+ 8

5 0

4 years ago

Can someone explain 3-10 for me I don't get it!!

kicyunya [14]

This can get confusing. Sorry if it doesn’t make a lot of sense. I will explain #3

1) You first have to look at the equation. It says 100 acres to 140 acres. From that information you should know that the number increases, so the percent will be over 100.
2)to set the equation up you do
X
__ =
100
Since every percent is out of 100.
3) Now you have to put the numbers in the equation. Since the original number is 15, so you would put it on the bottom and 18 on top.
X 18
__ = __
100 15
Then you times across
15x=1800
To find x (the percent) you divide both sides by 15
15x 1800
__ = __
15 15
X=120%
It would be increased

8 0

3 years ago