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Ivan
2 years ago
8

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:
Luden [163]2 years ago
5 0

Answer:

Step-by-step explanation:

A linear equation with two variables may appear in the form of Ax + By = C, and the resulting graph is always a straight line. The equation is more often in the form of y = mx+b, where m is the slope of the line of the corresponding figure and b is its Y-axis intercept, that is, the point where the line meets the Y-axis.

For example, 4x + 2y = 8 is a linear equation because it fits the desired structure. But for graphical and most other purposes, we often write this as y = - 2x + 4.

In this unit, on the basis of this linear equation, the equal sign is changed to the greater than a sign or less than sign, which is a new challenge in the operation of symbols.

You might be interested in
Mason currently pas $420 per month in rent. the contract on his apartment sates that his rent will increase by 6% next year.
Sergeeva-Olga [200]

Answer:

a. Mason's rent will increase by $302.40 next year.

b. Mason's new rent per month next year will be $445.20.

Step-by-step explanation:

The first question is asking us how much Mason's rent will increase next year.

If the contract on Mason's apartment states that his rent will increase by 6% next year, and he is currently paying $420 per month, to calculate the increase of the rent next year, we will first have to multiply $420 by 12 months to calculate how much Mason is paying in rent a year:

420* 12=

5040

Therefore, Mason is currently paying $5040 a year.

With this information, we will now need to calculate 6% of $5040. To calculate 6% of $5040, convert 6% to decimal form, and multiply it by $5040.

<em>6% means 6 per cent/hundred, so it can be represented as:</em>

\frac{6}{100}

<em>The fraction </em>\frac{6}{100}<em> can be represented as (we're two places behind the decimal, in the hundredths place)</em>:

0.06

Now, multiply the decimal form of 6% by $5040:

0.06*5040=

302.40

Therefore, Mason's rent will increase by $302.40 next year.

-

To calculate Mason's new rent per month next year, we can divide $302.40 into 12 months to see the rent increase per month, and then add that quotient to Mason's current rent per month, $420:

302.40 ÷ 12=

25.20

Now, that we know the rent per month will increase by $25.20 next year, we can add $25.20 to Mason's current rent per month:

420+25.20=

445.20

Therefore, Mason's new rent per month next year will be $445.20.

7 0
2 years ago
What set of angles can form a line
Kamila [148]

Answer:

Did u mean triangle? There are no angles on a line.

Or do you mean two angles of 90 degrees?

Step-by-step explanation:

8 0
2 years ago
A new Youth Sports Center is being built in Hadleyville. The perimeter of the rectangular playing field is 536  yards. The lengt
Aleksandr [31]

Answer:

W = 58 yards, L = 210 yards

Step-by-step explanation:

P = 2 (L + W)

L = 4w - 22

P = 2 (4W - 22 + W)

536 = 8W - 44 + 2W

536 = 10W - 44

10 W = 536 + 44

10W = 580

W = 58 yards

Since L = 4W - 22

L = 4 (58) - 22

L = 232 - 22

L = 210 yards

5 0
2 years ago
Pleaseeee help me out
katen-ka-za [31]

Answer:

y = 2x+7

Step-by-step explanation:

This is equation is in the form

y= mx+b  where m is the slope and b is the y intercept

y =2x + ?  means we are looking for the y intercept which is the value of y when x is zero

From the table, x=0 and y=7

y = 2x+7

3 0
3 years ago
Read 2 more answers
A mountain climber starts a climb at an elevation of 453 feet above sea level. At his first rest stop he has climbed 162 feet, a
Sedaia [141]
     162
   +207
=   369
     
      
Okay, so it says he descends 285 feet after he's climbed 369 feet. That means he needs to descend a bit more to reach 453 feet, which we'll just call 0 for now. First, we need to do some subtraction:

  369
- 285
=  84  

Okay, we know he needs to descend 84 feet to get to his starting point.
So your answer is C

8 0
3 years ago
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