Perfect Square Trinomials: 1. Give an example of a perfect square trinomial. 2. Explain why it is a perfect square trinomial. 3.
Factor the perfect square trinomial into a binomial ^2.
1 answer:
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Answer:
21
Step-by-step explanation:
Let x = $1 bill
Let y = $5bill
<em>Translating the word problem into an algebraic equation;</em>
<em>For the total number of bills;</em>
.........equation 1
<em>For the total number of tips;</em>
..........equation 2
<em>*Solving the linear equation by using the substitution method*</em>
<em>Making x the subject in equation 1:</em>
.......equation 3
<em>Substituting "x" into equation 2;</em>
<em>Simplifying the equation, we have;</em>
y = 21 (For the $5 bills).
<em>Therefore, Anthony received 21 pieces of the $5 bills.</em>
To find x;
Substituting "y" into equation 3;
x = 26 (For the $1 bill).
Answer:
Yes.
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
- Left to Right<u> </u>
<u>Algebra I</u>
- Coordinates (x, y)
- Systems of Equations
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
8x + 3y = 20
x + 4y = 17
(1, 4)
<u>Step 2: Check</u>
<em>Plug and verify the coordinates is a solution.</em>
- Substitute in point [1st Equation]: 8(1) + 3(4) = 20
- Multiply: 8 + 12 = 20
- Add: 20 = 20
- Substitute in point [2nd Equation]: 1 + 4(4) = 17
- Multiply: 1 + 16 = 17
- Add: 17 = 17
∴ Since both equations work out, (1, 4) is a solution to the systems of equations.