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-Dominant- [34]
3 years ago
5

In the equation f(x) = (x + 3)2 - 2, the transformations of the graph are

Mathematics
1 answer:
Irina18 [472]3 years ago
6 0

Answer:

  • a) A horizontal translation 3 units to the left and a vertical translation 2 units down.

Step-by-step explanation:

<u>Given function:</u>

  • f(x) = (x + 3)² - 2

<u>This is a transformation of:</u>

  • f(x) → f(x + 3) - 2
  • + 3 represents  horizontal translation 3 units left
  • - 2 represents vertical translation 2 units down

Correct choice is a)

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victus00 [196]
0.14583333333 is the answer, in fraction form it is = <span>14583333333/100000000000</span>
5 0
3 years ago
Which of the following statements represents one of the differences between an experiment and an observational study?
timofeeve [1]

Answer:

The main difference between an observational study and an experiment is the inclusion of a random sample.

Step-by-step explanation:

In an observational study, the researchers do not interfere with the method the data is collected. In an investigation of how regularly the studying improves marks, the researchers sample people from the population who has studied regularly and those who haven't and then collect the average marks obtained by each of the groups. We can only accomplish an association among the response variable and the explanatory variables because there may be some other variable that may affect both the explanatory and the response variable, thus making it look as if there is a relationship among them.


But in an Experiment, the researchers actually interfere with the method the data is collected. In an experiment, each case is randomly assigned to the treatment groups, i.e. to say that each of the cases has an equal chance of being in both groups. These kinds of studies help us to establish causal connections between the response variable and the explanatory variables because random assignment makes sure that they are equally spread among both the groups.


So, the primary difference between an observational study and an experiment is that in case of an observational study there is no random assignment but in case of an experiment there is a random assignment.

6 0
3 years ago
The measures of two angles of a triangle are 49° and 75°. Find the measure of the third angle in degrees.
Alexeev081 [22]
Answer: 56 degrees


Step by step:
The three angles in a triangle add up to 180 degrees.
49 + 75 + the third angle = 180
Let’s simplify.
180 - 49 - 75 = the third angle
So, by subtracting, we know that the third angle is 56 degrees!


Hope this helps! Please tell me if I did anything wrong, thank you so much and have a good day!
8 0
3 years ago
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Answer:

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Step-by-step explanation:

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12 5/6 - 1 1/3

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10 (12 - 6) / 24 = 10 6/24 = 10 1/4

4 0
3 years ago
Given the table below, evaluate the following:
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3 years ago
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