Answer:
To graph the ordered pairs from the table, we need to plot the points on a coordinate plane. The table provides the distance (in miles) traveled, labeled as "y," and the corresponding number of days, labeled as "x." Here are the steps to graph the ordered pairs:
1. Write down the ordered pairs from the table. The table shows the following pairs:
(1, 9)
(2, 1)
(3, 8)
(4, 2)
(5, 7)
(6, 3)
(7, 6)
(8, 5)
(9, 4)
(10, 5)
(11, 4)
(12, 6)
(13, 3)
(14, 7)
(15, 2)
(16, 8)
(17, 1)
(18, 9)
(19, 0)
(20, 9)
(21, 9)
(22, 9)
(23, 9)
(24, 9)
(25, 9)
(26, 9)
(27, 9)
(28, 9)
(29, 9)
(30, 9)
2. Draw a set of coordinate axes. Label the x-axis as "Number of days" and the y-axis as "Distance (in miles)."
3. Locate each ordered pair on the coordinate plane by starting at the origin (0,0) and moving along the x-axis and then up or down the y-axis.
4. For example, to plot the first ordered pair (1, 9), move 1 unit to the right along the x-axis and then 9 units up along the y-axis. Mark the point where the lines intersect.
5. Repeat this process for each ordered pair, marking the corresponding point on the graph.
6. Connect the points with a smooth curve or line to represent the data.
7. Finally, label the points or the line with the corresponding ordered pairs.
By following these steps, you will have graphed the ordered pairs from the table, representing the relationship between the number of days and the distance traveled.
Step-by-step explanation:
2x+y=82x+y=8
If we double each side of the second equation, 2x+y=82x+y=8, we have 4x+2y=164x+2y=16. Explain why the same pair that is the solution to the system is also a solution to this new equation.
If needed, you can support your explanation with hanger diagrams (upload a picture), or by inventing a situation that the equations represent.
If we add the two equations in the original system, we have 6x+7y=326x+7y=32. Explain why the same (x, y) pair is also a solution to this equation.
Again, you can support your explanation with diagrams or a situation, if needed.
The equations are a system of linear equations. Modifying them through multiplication or addition while keeping both sides balanced doesn't change the solution. Any pair (x,y) satisfying one equation will satisfy the others.
In mathematics, these equations are a system of linear equations. This is essentially a set of two or more equations, with a common set of variables. The same pair (x, y) are the solutions for all equations, as the second equation is a simplified, scalar multiple of the first.
So, for the first original equation (4x + 6y = 24), and the modified one (4x + 2y=16) which is the second equation of the system doubled, we can see that the multiplier is the same for both the 'x' and 'y' on the left side, and the right side of the equation. Therefore, if a pair (x,y) has been found to satisfy the first equation, it will also work for the second, as essentially, the equations are equivalent.
Similarly, adding the original system of equations, we get 6x + 7y = 32. This also has the same solution set, just expressed differently. As long as you're performing the same operation (like doubling, adding etc.) to each side of the equations, the balance remains constant, retaining the same solution.
#SPJ12
Answer:
7.9
Step-by-step explanation:
because you don't make sentence
a) Work out Colin's mean score.
b) Colin plays cricket again on Sunday. He gets 9 runs.
What is his new mean score?
Give your answers as decimals.
a)
b)
Answer:
A) 13.4
B) 13
Step-by-step explanation:
1. 2x + 6 = 8
2. 2x = 2
3. x = 1
In which step did Sarah use the distributive property?
1
2
3
Answer:
Step 1
Step-by-step explanation:
2(x + 3) = 8
1. 2x + 6 = 8
2. 2x = 2
3. x = 1
In step 1, she distributed the 2 to the x and 3 by multiplying them and getting 2x and 6.
Answer:
Step-by-step explanation:
30%, 1/4, 0.725
Answer:
The largest integer is x+2, or 31.