If you're talking about 607 without decimals, then 0. Because 607 is greater than 48.
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:
A=Both distributions are nearly symmetric
Step-by-step explanation:
Answer:
maximum volume of box is 588 cubic inches
Step-by-step explanation:
given data
dimensions box = 14 inches × 12 inches × 3.5 inches
to find out
volume of box
solution
we consider here box dimensions are
length l = 14 inches
width w = 12 inches
and height h = 3.5 inches
so
apply volume formula that is = l × w × h .....................1
put here value we get
volume = l × w × h
volume = 14 × 12 × 3.5
volume = 588 in³
so maximum volume of box is 588 cubic inches