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I’m just filling the 20 character thing now lol
By algebra properties we find the following relationships between each pair of algebraic expressions:
- First equation: Case 4
- Second equation: Case 1
- Third equation: Case 2
- Fourth equation: Case 5
- Fifth equation: Case 3
<h3>How to determine pairs of equivalent equations</h3>
In this we must determine the equivalent algebraic expression related to given expressions, this can be done by applying algebra properties on equations from the second column until equivalent expression is found. Now we proceed to find for each case:
First equation
(7 - 2 · x) + (3 · x - 11)
(7 - 11) + (- 2 · x + 3 · x)
- 4 + (- 2 + 3) · x
- 4 + (1) · x
- 4 + (5 - 4) · x
- 4 - 4 · x + 5 · x
- 4 · (x + 1) + 5 · x → Case 4
Second equation
- 7 + 6 · x - 4 · x + 3
(6 · x - 4 · x) + (- 7 + 3)
(6 - 4) · x - 4
2 · x - 4
2 · (x - 2) → Case 1
Third equation
9 · x - 2 · (3 · x - 3)
9 · x - 6 · x + 6
3 · x + 6
(2 + 1) · x + (14 - 8)
[1 - (- 2)] · x + (14 - 8)
(x + 14) - (8 - 2 · x) → Case 2
Fourth equation
- 3 · x + 6 + 4 · x
x + 6
(5 - 4) · x + (7 - 1)
(7 + 5 · x) + (- 4 · x - 1) → Case 5
Fifth equation
- 2 · x + 9 + 5 · x + 6
3 · x + 15
3 · (x + 5) → Case 3
To learn more on algebraic equations: brainly.com/question/24875240
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Answer:
First option: You start with $3 and save $1 each month.
In this case, the relationship is linear. So the corresponding equation is: y=x+3. Where 'x' represents the month. For example, the amount of money that you will have after 7 months is going to be: y = 7 + 3 = 10. (Ten dollars).
Second option: You save $3 the first month, and then each month the amount triples.
In this case, the relationship is exponential. If each month the amount triples, it means that the first month you have $3, the second month $9 and the third month $27. The equation that correctly models this situation is 
. For example, the amount of money that you will have after 7 months is going to be 
(2187 dollars)
Third option: Your total savings is 3 times the number of months multiplied by itself.
In this case, the relation is quadratic. So the equation that models this situation is: 
. For example, the amount of money that you will have after 7 months is going to be 
(147 dollars)
✅✅✅✅ BONUS: The best option is the SECOND ONE ✅✅✅✅
The product of a fraction less than one and a whole number will be less than the whole number.
This is because a fraction less than one when multiplied to a whole number will only get a part of a whole number that is equivalent to the portion of the fraction of a whole number.
For example:
fraction less than 1 is 1/2
whole number is 2
2 * 1/2 = 1
one is the product of a fraction less than 1 multiplied to a whole number. it is less than the whole number.
Solving an equation<h2>Step 1</h2>
We divide both sides by 5 so we can eliminate the parenthesis:
<h2>Step 2</h2>
We rearrange the terms so the terms with the unkown variable y are on the left side and the other ones on the right side:
y - 10 = -1
↓ <em>adding 10 both sides</em>
y - 10 + 10 = -1 + 10
y + 0 = 9
y = 9
<h2>Answer: y = 9</h2>
