Answer:
I. 33,56,65
Step-by-step explanation:
____________
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:
No, she did not multiply the negative integer tiles by the other negative integer tiles correctly.
Step-by-step explanation:
<em>Answer:</em>
<em>I would say he makes 10.5%</em>
<em>Step-by-step explanation:</em>
<em />
<em>Let the price at which the shopkeeper bought the article be 100.
</em>
<em>Since he has to make a profit of 30%, he would mark the price as 130.
</em>
<em>Now, he allows a discount of 15% i.e. 15% of 130 = 19.5
</em>
<em>The actual discounted price= 130–19.5= 110.5
</em>
<em>
</em>
<u><em>He gets 10.5 on 100. The profit percent he makes is 10.5%</em></u>
Answer:
2/15 or 0.13
Step-by-step explanation:
first you multiply 2/3 and 1/5 which gets you 2/15
