The <em>correct answers</em> are:
y = 0.10x + 2.50; $5.
Explanation:
Using a graphing calculator, we enter the data in the STAT function. The year will be the independent (x) variable and the cost will be the dependent (y) variable.
For the year, instead of starting at 1998, we will start at 0, since that is where we started measuring. This means the year 2000 will be 2; 2002 will be 4; etc, up to x=10.
Running the linear regression, the calculator gives us a slope of 0.10 and a y-intercept of 2.499, or 2.50. This makes the equation y = 0.10x + 2.50.
To predict the price in 2023, we first find what our x-value will be. Subtract 1998 from this:
2023-1998 = 25
Now substitute 25 in place of x in the equation:
y = 0.10(25) + 2.50 = 2.50 + 2.50 = 5
Solving this problem needs the distance formula of point to a line.
The formula is:
distance = | a x + b y + c | / √ (a^2 + b^2)
So we are given the equation: y = 2 x + 4
Rewriting this would be: y – 2 x – 4 = 0 -> a = -2, b = 1, c = -4
We are also given the points:
(-4, 11) = (x, y)
Plugging it in the distance formula at points (x, y):
distance = | -2 * -4 + 1 * 11 + -4 | / √ [(- 2)^2 + (1)^2]
= 15 / √ (5)
= 6.7
So the tree is approximately 6.7 feet away from the zip line.
Answer: D
Step-by-step explanation:
The number generator is not fair, in most of the experiments, considerably less than 60 % of the selected marbles are green.
And if Sixty percent of the marbles in the jar are green. A number generator should simulates randomly by selecting atleast one of the 60% of green marbles from the jar
The answer is c.(0,1.50) because $5.25 and $6.25 if u use a calculator u will see your answer
Answer: The required inequality is
and its solution is 
Step-by-step explanation: Given that Mustafa, Heloise, and Gia have written more than a combined total of 22 articles for the school newspaper.
Also, Heloise has written
as many articles as Mustafa has and Gia has written
as many articles as Mustafa has.
We are to write an inequality to determine the number of articles, m, Mustafa could have written for the school newspaper. Also, to solve the inequality.
Since m denotes the number of articles that Mustafa could have written. Then, according to the given information, we have

And the solution of the above inequality is as follows :

Thus, the required inequality is
and its solution is 