To graph the equation of a line, all you need are the coordinates of two points on the line. It is often convenient to use (x, y) values such that x or y is zero.
3) For the first equation, when x=0, you have -3y = 2, so y = -2/3. That means (0, -2/3) is one point on the line. When y=0, you have x = 2, so (2, 0) is another point on the line. Draw the graph by plotting these points and draing a straight line through them.
For the second equation, when x=0, you have 9y = -6, so y = -6/9 = -2/3. That means (0, -2/3) is also a point on the second line. When y=0, you have -3x = -6, so x=2 and (2, 0) is also a point on the second line.
The second line is identical to the first line, so it has an infinite number of points in common with it. The system of equations has an infinite number of solutions.*
4) Repeat the exercise as for problem 3 to find that the first line goes through points (5/2, 0) and (0, -5). The second line goes through points (-1/2, 0) and (0, 1). These lines are parallel, so never intersect. The system of equations has zero solutions.**
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* We say these equations are "dependent." If you multiply the first equation by -3, you get the second equation.
** We say these equations are "inconsistent."
Answer:
The midpoint of the data when it is arranged in order.
Step-by-step explanation:
Median can be described as the number that occurs in the middle of a set of numbers that are arranged either in ascending or descending order
For example, the median of the following set of numbers is 5
1, 2, 5, 10, 20
Range is the difference between the highest and lowest values of a set of observations
Range = highest value - lowest value
Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number
Mean = sum of the numbers / total number
The answer i think is maybe 91/20 and 1/28
Answer:
The number of nickles in drawer is 20 and
The number of dimes in drawer is 10
Step-by-step explanation:
Given as :
Total money in nickels and dimes = $ 2
Let The number of nickels = n
And The number of dimes = d
According to question
The number of nickels is three times number of dimes
I.e n = 3 times d
Or , n = 3 d
∵ n + d = $ 2
and 20 nickles = 1 dollar
10 dimes = 1 dollar
So, 20 nickles + 10 dimes = $ 1 + $ 1
or, 20 nickles + 10 dimes = $ 2
So, number of nickles is 20, and number of dimes is 10
Hence The number of nickles in drawer is 20 and
The number of dimes in drawer is 10 answer
Since they are on a straight line, we know that (10x-20)+ (6x+8)=180
if we simplify the equation, we get 16x-12=180
then we can take the 12 to the other side by adding
16x= 192
and then we can remove the 16 by dividing
x= 12