Answer:
x=-6
Step-by-step explanation:
1. Collect like terms [-15x] [+6x]
-15x+10+6x=64
-9x+10=64
2. Move constant [+10] to the right-hand side and change its sign
-9x+10=64
-9x=64-10
3. Subtract the numbers [64-10]
-9x=64-10
-9x=54
4. Divide both sides of the equation by -9
-9x/9=54/9
5. Solution
x=-6
The period of the graphed function is T = 8.
<h3>
How to get the period?</h3>
For a sinusoidal function, the period is the horizontal distance between two consecutive peaks.
Here we can see the first peak at x = 1, and the second peak is at x = 9.
The horizontal distance is: 9 - 1= 8.
Then we conclude that the period of the function is T = 8.
If you want to learn more about period.
brainly.com/question/9565966
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Answer:
The study provided uses a Cluster sampling method.
Step-by-step explanation:
The researcher first selects all the schools in the district.
Then he samples 5 schools from the entire district using a random number generator.
Then the researcher interviews every teacher from the 5 schools selected.
This is an example of cluster sampling.
In a Cluster sampling method, the researchers first divide the entire population into homogeneous groups, then selects a random sample of groups form the population. Then they select a random sample from each group selected.
If the researcher samples the entire groups selected then this is the case of one-stage cluster sampling and if they select a random sample of fixed size from each group selected then this a case of two-stage sampling.
Thus, the study provided uses a Cluster sampling method.
Answer:
78/100
Step-by-step explanation:
Since .78 is in the hundredths place just move the decimal two places to the right then put it over 100. But idk if you mistyped this because .78 is not a repeating decimal