Answer:
1. x = -1.5y
2. 5 (2x-3)
3. p = 4
Step-by-step explanation:
1) Simplifying
7x + 2y + -3x + 4y = 0
Reorder the terms:
7x + -3x + 2y + 4y = 0
Combine like terms: 7x + -3x = 4x
4x + 2y + 4y = 0
Combine like terms: 2y + 4y = 6y
4x + 6y = 0
Solving
4x + 6y = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6y' to each side of the equation.
4x + 6y + -6y = 0 + -6y
Combine like terms: 6y + -6y = 0
4x + 0 = 0 + -6y
4x = 0 + -6y
Remove the zero:
4x = -6y
Divide each side by '4'.
x = -1.5y
Simplifying
x = -1.5y
2)
Common factor
10x - 15
5 (2x-3)
3) Simplifying
5p = 3p + 8
Reorder the terms:
5p = 8 + 3p
Solving
5p = 8 + 3p
Solving for variable 'p'.
Move all terms containing p to the left, all other terms to the right.
Add '-3p' to each side of the equation.
5p + -3p = 8 + 3p + -3p
Combine like terms: 5p + -3p = 2p
2p = 8 + 3p + -3p
Combine like terms: 3p + -3p = 0
2p = 8 + 0
2p = 8
Divide each side by '2'.
p = 4
Simplifying
p = 4
Answer:
$9
Step-by-step explanation:
In this circumstance, 20% off is the original number (40) divided by 5, and that's the answer. I hope this helps!
Answer:
B
Step-by-step explanation:
This is the correct answer because the difference between 32 and 29 is 3 and the intial price is 32, Hence 3/32 (100)
Answer:
The equation of the line with slope 6 and containing the point (0, 4) will be:

The graph of the line y = 6x+4 is attached below.
Step-by-step explanation:
The slope-intercept form of the line equation

where
Given
The y-intercept can be determined by setting x = 0 and determining the corresponding value of y.
The point (0, 4) indicates that:
at x = 0, y = 4
Thus, the y-intercept b = 4
now substituting b = 4 and m = 6 in the slope-intercept form of the line equation


Thus, the equation of the line with slope 6 and containing the point (0, 4) will be:

The graph of the line y = 6x+4 is attached below.
One factor that affects the slope of the aggregate demand curve is the multiplier effect is a "true" statement.
<h3>What is
aggregate demand curve?</h3>
Aggregate demand would be a macroeconomic term which refers to the total consumption of goods and services in a given period at any price level.
Some key features regarding the aggregate demand curve?
- Since the two metrics are estimated in the same way, aggregate demand over time corresponds gross domestic product (GDP).
- GDP is the total quantity of products and services created by an economy, whereas aggregate demand is indeed the desire or demand for those goods.
- The aggregate demand as well as GDP rise or fall together as a result of using the same calculation methods.
- All consumer goods, capital equipment (factories & equipment), export markets, imports, & government spending programs are included in aggregate demand.
- As long as the variables trade for the same market value, they are all considered equal.
To know more about the aggregate demand curve, here
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