Answer:
<em>x</em> = all real numbers
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Distributive Property
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
x + 6 = 2(x + 3) - x
<u>Step 2: Solve for </u><em><u>x</u></em>
- [Addition Property of Equality] Add <em>x</em> on both sides: 2x + 6 = 2(x + 3)
- [Distributive Property] Distribute 2: 2x + 6 = 2x + 6
Here we see that both sides are identical.
∴ our solution is all real numbers.
Okay so basically 1 + 5 = 180
and if we know 1 = 124 we can assume 5 = 56
and 5 = 4 SOOOO
4 = 56
Answer:
Answer:
3x + 3y = 0
7x - y = 8
Step-by-step explanation:
Answer:
A because of its larger range
Step-by-step explanation:
Answer:
<em>The coordinates of the vertex are (-1,-4).</em>
Step-by-step explanation:
<u>Equation of the Quadratic Function
</u>
The vertex form of the quadratic function has the following equation:
Where (h, k) is the vertex of the parabola that results when plotting the function, and a is a coefficient different from zero.
We are given the function:
We must transform the equation above by completing squares:
The first two terms can be completed to be the square of a binomial. Recall the identity:
Thus if we add and subtract 1:
Operating:
The trinomial in parentheses is a perfect square:
Adding 4:
Comparing with the vertex form of the quadratic function, we have the vertex (-1,-4).
The coordinates of the vertex are (-1,-4).