A total of 543718 visitors went to a theme park during August and September . if 321654 visitors went to the theme park in august, how many visitors went to the theme park in september? show your work.

Direct variation problems use the equation y = kx

Replace y and X with the two known numbers to solve for k:

6=k9

Solve for K by dividing both sides by 9:

k = 6/9, reduces to 2/3

Now replace y and k into the formula to solve for x:

15 = 2/3x

Solve for X by dividing both sides by 2/3:

X = 15 / 2/3

X = 45/2 as an improper fraction, 22 1/2 as a proper fraction or 22.5 as a decimal.

Not sure which format the answer needs to be in, so I gave all three.

Use a proportion:

Yardstick is 3 feet long

The statement that best describes the domain of this function is Option(C).

What is a function?

In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable).

What is the domain of a function?

The domain of a function is the set of all the function's possible x-values.

According to the definition of domain, when 1 ≤ x ≤ 9, the function is completely defined, hence option(C) is correct.

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The third answer cHoICE is the correct answer

At x = -2, the graphs of equations 2x - y = 6 and 5x + 10y = -10 intersect at the point (-2,-2).

What is a graph?

A graph is a visual representation that shows the relationships between two or more items or values. It typically involves plotting points and connecting them to form a diagram.

To find the point of intersection of the graphs of equations 2x - y = 6 (i) and 5x + 10y = -10  (ii), we can follow these steps:

List out the points that satisfy each equation:

For equation (i):

• When x=6, we have 2(6) - y = 6, which gives us y = 6. So point (6,6) lies on the graph of equation (i).

• When x=0, we have 2(0) - y = 6, which gives us y = -6. So the point (0,-6) lies on the graph of equation (i).

• When x=3, we have 2(3) - y = 6, which gives us y = 0. So point (3,0) lies on the graph of equation (i).

For equation (ii):

• When x=0, we have 5(0) + 10y = -10, which gives us y = -1. So the point (0,-1) lies on the graph of equation (ii).

• When x=2, we have 5(2) + 10y = -10, which gives us y = 0. So point (2,0) lies on the graph of equation (ii).

• When x=4, we have 5(4) + 10y = -10, which gives us y = 1. So point (4,1) lies on the graph of equation (ii).

Plot the points on a graph and join them to get the graph of each equation.

Identify the point(s) of the intersection of the two graphs. From the graph, we see that the two graphs intersect at the point (-2,-2).

Therefore, we can conclude that at x = -2, the graphs of equations 2x - y = 6 and 5x + 10y = -10 intersect at the point (-2,-2).

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Answer:

The solution to the equation is: (x,y) = (2,-2) If that helps

Step-by-step explanation:

// Solve equation [1] for the variable  y  

 [1]    y = 2x - 6

// Plug this in for variable  y  in equation [2]

  [2]    5x + 10•(2x-6) = -10

  [2]    25x = 50

// Solve equation [2] for the variable  x  

  [2]    25x = 50  

  [2]    x = 2  

// By now we know this much :

   x = 2

   y = 2x-6

// Use the  x  value to solve for  y  

   y = 2(2)-6 = -2  

Solution :

{x,y} = {2,-2}