we know that

we have

substitute the value of
in the expression above

therefore
<u>the answer is</u>

Step-by-step explanation:
Median means the middle number
number already order
Median is 4 as there are 3 numbers to left and right
Based on the expression and the values of a, b, and c, the value of the expression is 6 ¹/₆.
<h3>What is the expression's value?</h3><h3 />
The expression is:
= (a + 2bc) / 3a
Solving gives:
= (4 + (2 x -5 x -7)) / (3 x 4)
= (4 + 70) / 12
= 74 / 12
= 6 ² /₁₂
= 6 ¹/₆
Find out more on mixed fractions at brainly.com/question/21610929
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-5y=12-3x (subtract 3x from both sides)
y = - 12-3x/5 (divide both sides by -5)
y = - 3(4-x)/5 (common term is 3)
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!