Answer:
(a) 
-- The equation
(b) 31 inches
Step-by-step explanation:
Given
See attachment
Solving (a): The equation of the trend line.
We start by calculating the slope (m)
Where
So, we have:
The equation is then calculated using:
Where:
Open bracket
(b) The height of a 2 year old.
To do this, we substitute 2 for x in
The prediction is 31 inches
Okay the answer is 180<span />
Answer:
(1, 2)
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>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
-4x + 9y = 14
12x - 10y = -8
<u>Step 2: Rewrite Systems</u>
-4x + 9y = 14
- Multiply everything by 3: -12x + 27y = 42
<u>Step 3: Redefine Systems</u>
-12x + 27y = 42
12x - 10y = -8
<u>Step 4: Solve for </u><em><u>y</u></em>
<em>Elimination</em>
- Combine 2 equations: 17y = 34
- Divide 26 on both sides: y = 2
<u>Step 5: Solve for </u><em><u>x</u></em>
- Define equation: 12x - 10y = -8
- Substitute in <em>y</em>: 12x - 10(2) = -8
- Multiply: 12x - 20 = -8
- Isolate <em>x</em> term: 12x = 12
- Isolate <em>x</em>: x = 1
