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3 years ago

What type of transformation takes the graph of f(x)=|x| to the graph of g(x)=|4+x|?

Mathematics

2 answers:

ivolga24 [154]3 years ago

4 0

Translation to the left by 4 units

ss7ja [257]3 years ago

4 0

Answer:

horizontal translation of 4 units left

Step-by-step explanation:

the graph of f(x)=|x| to the graph of g(x)=|4+x|

In g(x) , 4 is added with x

The rule of transformation is

f(x) -> f(x-a), horizontal translation of 'a' units right

f(x) -> f(x+a), horizontal translation of 'a' units left

f(x) -> f(x)+a, Vertical translation of 'a' units up

f(x) -> f(x)-a, Vertical translation of 'a' units down

When we compare f(x) and g(x), 4 is added with x

f(x) -> f(x+a), horizontal translation of 'a' units left

So its a horizontal translation of 4 units left

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An automobile manufacturer sold 30,000 new cars, one to each of 30,000 customers, in a certain year. The manufacturer was intere

snow_lady [41]

A) In order to create a sampling plan, you need to follow the following 5 steps:
1) Define the sample population: who are the customers you want to contact?
   The costumers who bought a new car on a certain year.
2) Define the size of population: how many customers are you going to contact?
   Of the 30000 customers who bought a car, you want to contact 1000 customers.
3) Define the contact options: how are you going to contact the customers?
   You have a list of names and addresses, therefore you can send a questionnaire via mail.
4) Form a sampling frame: what is the time or contact frame to get in touch with your customers?
   You will send the questionnaires and you will wait two months for the answer.
5) Define the analysis method: is yours a qualitative or quantitative research?
   In your case, you want a quantitative research and therefore a probabilistic sampling.

B) The 32.5% probability refers to customers having issues with the power doors locks among the costumers who had problems, it does not consider the customers who did not have any problem or those who had problems after the first 5000 miles.

C) In order to find the probability of a power door lock problem if there have been problems within the first 5000 miles, we need to consider the whole sample:
P = 13 / 1000
   = 0.013

Therefore,
N = <span>0.013 </span>× 30000
   = 390

Hence, the number of new cars sold that experienced a problem with the power door locks within the first 5000 miles will be 390.

4 0

3 years ago

Carbon dioxide comprises approximately what percentage of the atmosphere

In-s [12.5K]

The Carbon Dioxide in the atmosphere is only very small relative to other gases. Typically, it only consists about 0.038 percent or 0.04 percent of the gases in the atmosphere.

<span>
Even though it is only small, CO2 is very important since it is one of the greenhouse gases which ensures that the Earth stays warm.</span>

8 0

3 years ago

After dinner 2/3 of a pan of lasagna is left. The hole pan of Lasagna was originally cut in into pieces that were each 1/6 of th

Paraphin [41]

Answer:

An equation represents the number of pieces of lasagna that are left after dinner is $\frac{1}{6}x=\frac{2}{3}$

Step-by-step explanation:

Each piece of Lasagna is 1/6 of the pan

Let x be the number of pieces left

So, x pieces is $\frac{1}{6}x$ of the pan

We are given that After dinner 2/3 of a pan of lasagna is left.

So, $\frac{1}{6}x=\frac{2}{3}$

$x=\frac{2}{3} \times 6$

x=4

So, Number of pieces left = 4

Hence An equation represents the number of pieces of lasagna that are left after dinner is $\frac{1}{6}x=\frac{2}{3}$

8 0

3 years ago

Find a fraction or mixed number that is between the two numbers -3/4 -1/3

Mandarinka [93]

Hey there!

-3/4 - 1/3

= -3/4 + (-1/3)

≈ -9/12 - 4/12

= -9 - 4 / 12 - 0

≈ -9 - 4 / 12

= -13 / 12

≈ -1 1/12

Therefore, your answer is/

-13/12 or -1 1/12

EITHER OF THOSE SHOULD BE CORRECT BECAUSE THEY ARE EQUIVALENT OR THE SAME THING.

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

6 0

2 years ago

Add or subtract (m^2-m+3)+(m-1)?

uysha [10]

First You would rewrite the equation:
M^2-m+3+m-1
Second: rewrite equation to Combine like terms
M^2-m+m+3-1
Answer:
M^2+2

4 0

3 years ago

Read 2 more answers