If you would like to solve the system of equations, you can do this using the following steps:
3x + y = 3
x + y = 2 ... y = 2 - x
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<span>3x + y = 3
</span>3x + 2 - x = 3
2x = 3 - 2
2x = 1
x = 1/2
y<span> = 2 - x = 2 - 1/2 = 1 1/2 = 3/2
(x, y) = (1/2, 1 1/2) = (1/2, 3/2)
The correct result would be </span><span>C) x = 1/2, y = 3/2.</span>
Answer: D
Step-by-step explanation:
D
Answer:
1a) f(x) = -1/3(x + 12)² + 9
1b) f(x) = -1/3x² - 8x - 39
General Formulas and Concepts:
<u>Algebra I</u>
Equality Properties
Expand by FOIL (First Outside Inside Last)
Standard Form: ax² + bx + c = 0
Transformations Graph: f(x) = a(bx - c)² + d
- a = vertical shrink/stretch
- b = horizontal shrink/stretch
- c = horizontal movement left/right
- d = vertical movement up/down
Step-by-step explanation:
<u>Step 1: Define</u>
Reflected down and vertically stretched by 1/3: a = -1/3
Shifted vertically by 9 units: d = 9
Shifted horizontally by -12 units: c = -12
<u>Step 2: Write Vertex Form</u>
- Define: f(x) = a(bx - c)² + d
- Substitute: f(x) = -1/3(x + 12)² + 9
<u>Step 3: Write Standard Form</u>
- Define: f(x) = -1/3(x + 12)² + 9
- Expand: f(x) = -1/3(x² + 24x + 144) + 9
- Distribute -1/3: f(x) = -1/3x² - 8x - 48 + 9
- Combine like terms: f(x) = -1/3x² - 8x - 39
And we have our final answers!
Answer:
<h2>5040</h2>
Step-by-step explanation:
<h3>multiply 35 by 144 which will give you your answer (lcm)</h3>
Answer:
Step-by-step explanation:
