19) 5c+c=-6+2
6c=-4
c=-4/6
c=-2/3
20) -20-8=-2e
-28=-2e
28/2=e
14=e
21)p-2w=2l
(p-2w)/2=l
Answer:
(-3, 4)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
- Solving systems of equations by graphing
Step-by-step explanation:
<u>Step 1: Define Systems</u>
16x + 14y = 8
-63x - 14y = 133
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Elimination</em>
- Combine 2 equations: -47x = 141
- Divide -47 on both sides: x = -3
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define original equation: 16x + 14y = 8
- Substitute in <em>x</em>: 16(-3) + 14y = 8
- Evaluate multiplication: -48 + 14y = 8
- Add 48 on both sides: 14y = 56
- Divide 14 on both sides: y = 4
<u>Step 4: Graph Systems</u>
<em>Check the solution set.</em>
Answer:
Closed boundary point
Step-by-step explanation:
It says greater than OR equal too and having a closed boundary will indicate that 21 is apart of the inequality also.
I hope this helps
The equation of the newsletter function is C(x) = 75 + 0.25x and the function values are C(0) = 75, C(100) = 100, C(200) = 125 and C(300) = 150
<h3 /><h3>How to determine the newsletter function?</h3>
From the question, the given parameters are
Initial charge = $75.00
Rate per copy = $0.25 per copy
The equation of the newsletter function is then calculated as
Total = Initial charge + Rate per copy x Number of copies
Let x represents the number of copies
So, we have
Total = Initial charge + Rate per copy x x
This gives
C(x) = 75 + 0.25x
<h3>The function values for x = 0, 100, 200 and 300</h3>
When x = 0, we have
C(0) = 75 + 0.25 x 0 = 75
When x = 100, we have
C(100) = 75 + 0.25 x 100 = 100
When x = 200, we have
C(200) = 75 + 0.25 x 200 = 125
When x = 300, we have
C(300) = 75 + 0.25 x 300 = 150
Read more about linear equations at
brainly.com/question/4074386
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