Which is the solution to equation below? 9 = n + 3 A 3 B 6 C 12
2 answers:
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Answer:
(-1, -2)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
- Left to Right
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>
-2x + y = 0
5x + 3y = -11
<u>Step 2: Rewrite Systems</u>
-2x + y = 0
- Add 2x on both sides: y = 2x
<u>Step 3: Redefine Systems</u>
y = 2x
5x + 3y = -11
<u>Step 4: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: 5x + 3(2x) = -11
- Multiply: 5x + 6x = -11
- Combine like terms: 11x = -11
- Isolate <em>x</em>: x = -1
<u>Step 5: Solve for </u><em><u>y</u></em>
- Define equation: y = 2x
- Substitute in <em>x</em>: y = 2(-1)
- Multiply: y = -2
<u>Step 6: Graph Systems</u>
<em>Check the solution set.</em>
Answer: The distance between the min and max increased by a factor of 2, horizontally shifted to the right by , shifted down 5 units, and has a phase shift of
<u>Step-by-step explanation:</u>
The general form of a csc function is: y = A csc (Bx - C) + D where
- |A| is the amplitude (vertical stretch)
- -A is a reflection over the x-axis
- |B| is the horizontal stretch
- -B is a reflection over the y-axis
- C is a horizontal shift (left or right)
- D is a vertical shift (up or down)
- Period is
- Phase Shift is
In the given transformed graph y = 2 csc (x - ) - 5
- A = 2 --> distance between the Min and max is 2(2) = 4
- C =
--> horizontally shifted to the right
- D = -5 --> shifted DOWN 5 units
- Phase shift is