Answer:
f(x + 3) = x² + 3x - 2
General Formulas and Concepts:
- Order of Operations: BPEMDAS
- Expand by FOIL (First Outside Inside Last)
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = x² - 3x - 2
f(x + 3) is x = x + 3
<u>Step 2: Find</u>
- Substitute: f(x + 3) = (x + 3)² - 3(x + 3) - 2
- Expand by FOILing: f(x + 3) = x² + 6x + 9 - 3(x + 3) - 2
- Distribute 3: f(x + 3) = x² + 6x + 9 - 3x - 9 - 2
- Combine like terms: f(x + 3) = x² + 3x - 2
Answer:
16 and 25
Step-by-step explanation:
Answer:
Therefore,
The length of the sides of the squares is

Step-by-step explanation:
Let "x" be the length of Cut Square,
As the tin size(Dimension) is
20 cm × 50 cm
So the size(Dimension) of box will be
(20 - 2x) × (50 - 2x)
Length = 50 - 2x
Width = 20 - 2x
Area of base of box = 216 cm²
To Find:
x = ?
Solution:
Area of Rectangular field is given by

Substituting the values we get

Applying Distributive property we get


Dividing throughout by 4 we get

On Factorizing we get

As x cannot be 28 because tin size is 20 cm × 50 cm i.e longer than 20
Therefore,

Therefore,
The length of the sides of the squares is

Answer:
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Step-by-step explanation: