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Sindrei [870]
3 years ago
5

When dealing with an equation containing two variables, we can put the graph of the equation on the coordinate plane because the

number of variables is equal to the number of dimensions that are needed to properly graph the solution. Each axis on a graph represents one variable in the equation being graphed. What would you use to graph the solution to an equation with one variable? What would you use to graph the solution to an equation with three variables? Could you graph an equation containing more than four variables? Explain. If you were given the graph of an equation with two variables on a coordinate plane, what would happen to the graph if all the y-values were increased by 1? What would happen to the graph if all the x-values were increased by 1? What would happen to the graph if all the y-values were multiplied by 2 or by 1/2? Explain.
Mathematics
1 answer:
ziro4ka [17]3 years ago
3 0
What would you use to represent the solution in an equation with a variable?
 I would use the real line that goes from x belongs (-infinite, infinite).
 What would you use to represent the solution in an equation with three variables?
 To present the solution of an equation with three variables you need the XYZ coordinate system because you would generate a 3D graph because "because the number of variables is equal to the number of dimensions needed to graph the solution correctly".
 Could you graph an equation that contains more than four variables?
 It CAN NOT be done since the number of variables is equal to the number of dimensions that are needed to graph the solution correctly. Therefore, we can graph only up to three variables (three dimensions).
  If you were given the graph of an equation with two variables in a coordinate plane, what would happen to the graph if all the values ​​of y were increased by 1?
 if all the values ​​of y are increased by 1, the graph shifts by 1 unit to the right.
 What would happen to the graph if all values ​​of x were increased by 1?
 If all values ​​of x are increased by 1, the graph moves 1 unit up.
 What would happen to the graph if all the <span> y-</span>values ​​were multiplied by 2 or by 1/2?
 If the values ​​of y are multiplied by 1/2 then the slope of the graph is smaller so the graph looks wider.
 If the values ​​of y are multiplied by 2 then the slope of the graph is larger so the graph looks narrower.
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nicholas challenges rajiv with these instructions for finding his house after basketball practice. get on the subway at 14th Str
sergeinik [125]
When a number is divisible, that means that why you divide that number by another, you will get a whole number. For example, 4 is divisible by 2 because 4 ÷ 2 = 2. The number 4 is not divisible by 3 because 4 ÷ 3 = 1\frac{1}{3} (which is not a whole number). 

We'll start with 3 - 
To find numbers that are divisible by 3, you can use the 3 Divisibility Rule. First, take the number you are given and add together all of the digits. Then, look at that sum and see if it can be evenly divided by 3. If it is, then that number is divisible by 3. For the numbers that you are given in the problem:
23 = 2 + 3 = 5 (not divisible by 3)
28 = 2 + 8 = 10 (not divisible by 3)
33 = 3 + 3 = 9 (9÷3 = 3, so 33 is divisible by 3)
42 = 4 + 2 = 6 (6÷3 = 2, so 42 is divisible by 3)
51 = 5 + 1 = 6 (6÷3 = 2, so 42 is divisible by 3)
59 = 5 + 9 = 14 (not divisible by 3)
86 = 8 + 6 = 14 (not divisible by 3)
96 = 9 + 6 = 15 (15÷3 = 5, so 96 is divisible by 3

Now let's look at numbers divisible by 7. There are rules for divisibility of 7, but they are more for 3-digit numbers. Since your numbers are small enough, we can use basic multiplication facts to check divisibility.
23 (7x3 = 21 and 7x4 =28, 23 is between these and is not divisible by 7)
28 (7x4 =28, so 28 is divisible by 7)
33 (7x4 = 28 and 7x5 = 35, 33 is between these and is not divisible by 7)
42 (7x6 = 42, so 42 is divisible by 7)
51 (7x7 = 49 and 7x8 = 56, 51 is between these and is not divisible by 7)
59 (7x8 = 56 and 7x9 = 63, 59 is between these and is not divisible by 7)
86 (7x12 = 84 and 7x13 = 91, 86 is between these and is not divisible by 7)
96 (7x13 = 91 and 7x14 = 98, 96 is between these and is not divisible by 7)

Now let's look at what we just figured out from the divisibility rules above.
Subway stops divisible by 3: 33, 42, 51, 96
Subway stops divisible by 7: 28, 42
The only number in common in those two lists is 42, so that is the stop that Rajiv should get off of the subway. 
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