Answer: The equation that goes through the points (2, -1) and (-6, -5) is 1/2x - 2
I know this because when I graphed this equation, it passed through those points. (My graph is shown below)
Let us first find how much he is spending every year, to do this let's find his monthly expense and multiply it by 12.
Every month Cameron spends 1040 + 980 + 120 = 2140
To find out how much he spends yearly, multiply the monthly value by 12,
2140 x 12 = 25680
This value is more than his net income so he clearly has a surplus, but to check we can subtract 129 from every month to get:
(1040 + 980 + 120 - 129) = 2011
2011 x 12 = 24132, which shows that his budget is saving 129 surplus every month. Choice B is correct.
The equations give you information as to where to plot points.
For y = -x + 1, you know the slope is -1, and the line intersects the y-axis at (0, 1). The y-axis is the vertical line; to plot (0, 1), find 1 on the vertical line and mark it. Now, the slope is -1; that means the line will slope downwards. To plot more points, count 1 unit down from (0, 1) and 1 unit to the right. You should end up at (1, 0).Connect those and you have a line.
For y = -2x + 4, the slope is -2 (so it will also slope downwards), and the y-intercept is 4. Find (0, 4) and plot it. The -2 tells you to count 2 units down (instead of 1 like we did for the last equation) and 1 over. That is the second line.
I hope this helps.
Answer:
1/6 squared feet or 0.17 squared feet
Step-by-step explanation:
Since it's a paper, we assume it is a rectangle.
Use the formula for area of a rectangle. A= lw
l is the length and w is the width.
The width is 2/3 feet and the length is 1/4 feet.
Substitute w = 2/3 and l=1/4 into the equation for area of a rectangle.
A = lw
A = (1/4)(2/3) Multiply both numerators, then both denominators
A = 2/12 Simplify. Top and bottom are divisible by 2
A = 1/6
A ≈ 0.17 Rounded to two decimal places
When you multiply two numbers with units, the answer's unit becomes the squared unit.
Therefore the area of her paper is 1/6 squared feet, or 0.17 squared feet.
Answer:
- 5x - 3y = 9 (Example)
- y = 1/2x - 3 (Non-Example)
- 2x + 3y = 0 (Example)
- x + y = 1 (Example)
- x = 6y (Non-Example)
- y = x - 2 (Non-example)
Step-by-step explanation:
Standard form of the equation is given by:
Ax + By = C
Where
- A, B and C are constants which must be Integers. A should always be positive.
Considering the definition, we can identify the examples and non-examples of standard from of a linear equation.
<h3>
5x - 3y = 9</h3>
- In a form of Ax + By = C
- A,B and C are constants
- A=5 is positive
It is an EXAMPLE of standard form of linear function
<h3>
</h3><h3>
y = 1/2x - 3</h3>
- Not in the form of Ax + By =C
NON-EXAMPLE
<h3>
</h3><h3>
2x + 3y = 0</h3>
- In a form of Ax + By = C
- A,B and C are constants
- A=5 is positive
It is an EXAMPLE of standard form of linear function
<h3>
</h3><h3>
x + y = 1</h3>
- In a form of Ax + By = C
- A,B and C are constants
- A=5 is positive
It is an EXAMPLE of standard form of linear function
<h3>
</h3><h3>
x = 6y</h3>
- Not in the form of Ax + By =C
NON-EXAMPLE
<h3>
</h3><h3>
y = x - 2</h3>
- Not in the form of Ax + By =C
NON-EXAMPLE
