a. n-(n - 1) = 1
b. n( n - 1) = n² - n
c. (n - 1) + n = 2n - 1
d. (n - 1) + n = 2n - 1
<h3>Solution:</h3>
General Rule for Equation Solving
- Remove parentheses and combine like terms to simplify each side of the equation.
- To isolate the variable term on one side of the equation, use addition or subtraction.
- To find the variable, use multiplication or division.
Given two consecutive numbers , (n - 1) , n
simplifying :
n - (n - 1)
= n -1(n - 1)
= n - n + 1
= 1
multiplying :
n( n -1)
= n² - n
simplifying :
(n-1) + n
= n - 1 + n
= 2n -1
by adding two numbers :
(n - 1) + n
= n -1 + n
= 2n - 1
To learn more about equations refer to :
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Answer:
If it counts as a question, lol sure, I'd love to help
Answer:
y = 3/2x + 6
Step-by-step explanation:
y = 3/2x - 4
y-intercept through point (-2, 3):
3 = 3/2(-2) + b
3 = -3 + b
b = 6
Equation of line:
y = mx + b
y = 3/2x + 6
**Parallel line share the same slope, in this case 3/2.
Answer:
x = 8
y = 11
Step-by-step explanation:
Total small box weight = 50x [x being the number of small boxes]
Total large box weight = 80y [y being the number of large boxes]
Total boxes = x+y = 19
Total weight = 1280
<em>Determine x and y.</em>
<u>You know 2 equations. One for weight and another for number of boxes each.</u>
<u>Rewrite second equation:</u>
x+y=19
y=19-x
<u>You have to plug in one into another.</u>
1280 = 50x + 80(19-x)
<u>Solve for x</u>
1280 = 50x + 1520 - 80x
-240 = -30x
x = 8
<u>Solve for y by plugging in x into one of the equations:</u>
8+y = 19
y = 11
Answer:
Answer Option C
Step-by-step explanation:
They make a big plus sign, PLUS=PERPENDICULAR
