So we have 2 variables here: tacos and orders of nachos.
When we translate the paragraphs into equation:
Now, in this situation we can make use the elimination method by converting 3n to -27n.
Add both equations:
So we find that one taco costs $2.75.
We can plug this into any of the first two equations to find n:
So one order of nachos cost $1.40.
Answer:
The inequality x>2 matches the graph.
Step-by-step explanation:
From the graph, it is clear that the shaded graph is heading towards the +ve infinity from the x > 2.
If the inequality includes < or >, we graph the equation as a dotted line.
From the graph, the dotted line indicates that x=2 is not included in the solution of the inequality.
so the interval of the domain of the inequality is: (2, ∞)
Therefore, the inequality x>2 matches the graph.
Answer:
Step-by-step explanation:
The Answer 3182121
Answer:
x = 6
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality
<u>Algebra I</u>
- Terms/Coefficients/Degrees
- Expand by FOIL (First Outside Inside Last)
- Factoring
- Multiple Roots
<u>Trigonometry</u>
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
- a is a leg
- b is another leg
- c is the hypotenuse
Step-by-step explanation:
<u>Step 1: Identify</u>
<em>a</em> = x + 3
<em>b</em> = x
<em>c</em> = √117
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute [PT]: (x + 3)² + x² = (√117)²
- Expand [FOIL]: x² + 6x + 9 + x² = (√117)²
- Combine like terms: 2x² + 6x + 9 = (√117)²
- Exponents: 2x² + 6x + 9 = 117
- [SPE] Subtract 117 on both sides: 2x² + 6x - 108 = 0
- Factor out GCF: 2(x² + 3x - 54) = 0
- [DPE] Divide 2 on both sides: x² + 3x - 54 = 0
- Factor Quadratic: (x - 6)(x + 9) = 0
- Solve roots/solve <em>x</em>: x = -9, 6
Since we are dealing with positive values, we can disregard the negative root.
∴ x = 6
