(1, 1) the slope is 2 and slopes can be read the easiest when expressed as a fraction (2/1) when the numerator (2) expresses how many digits you move the point up and the denominator (1) expresses how many points you move right
Answer:
(a)High school students in the United States.
(b)100 Students
(c)Statistic
Step-by-step explanation:
(a)Since the researcher is interested in the texting habits of high school students in the United States, the population for this study consists of all high school students in the United States.
(b)It is most often improbable to carry out research on an entire population of study. A <u>sample is taken to represent the population</u> and the results obtained from the sample are assumed to hold for the entire population.
In the given study, the researcher selects a group of 100 students to represent the High School students in the United States. This is the sample for the study.
(c)The researcher calculated the average number of text messages that each individual sends each day from the sample of 100 Students. This is an example of a Statistic. A statistic is a numerical data obtained from a sample.
Note: If the data were obtained from the entire population, it would be a <u>parameter.</u>
To determine the cost of each item, we need to set up equations. From the problem statement, we have three unknowns so we need three equations. We set up equations as follows:
let x cost of small pizzas
y cost of soda
z cost of salad
two small pizzas, a liter of soda, and a salad cost $14
2x + y + z = 14
one small pizza, a liter of soda, and three salads cost $15
x + y + 3z = 15
three small pizzas, a liter of soda, and two salads cost $22
3x + y + 2z = 22
Solving for x, y and z, we will have:
x = $ 5
y = $ 1
z = $ 3
Answer:
Step-by-step explanation:
Given:
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1st problem:
Distribute:
Combine like terms:
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2nd problem:
Distribute -3 to first factor:
Use foil to simplify:
Replace 
with -1:
Combine like terms:
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3rd problem:
Distribute 2 to the second factor:
Use foil to simplify:
Replace with -1:
Combine like terms:
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4th problem:
Distribute:
Combine like terms:
Simplify:
