Answer:
x ≤ 3
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Distributive Property
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
2(4 + 2x) ≥ 5x + 5
<u>Step 2: Solve for </u><em><u>x</u></em>
- [Distributive Property] Distribute 2: 8 + 4x ≥ 5x + 5
- [Subtraction Property of Equality] Subtract 5x on both sides: 8 - x ≥ 5
- [Subtraction Property of Equality] Subtract 8 on both sides: -x ≥ -3
- [Division Property of Equality] Divide -1 on both sides: x ≤ 3
The slope is -2/3 or -2 over 3
933.33 x 933.33 is ypur answer to maximize area
Given that the total area of the walkway and the pool is w²+17w+66, and the width w, will be found as follows:
A=length×width
A=w²+17w+66
to get the new width we need to factorize the above quadratic form
A=w²+17w+66
=w²+11w+6w+66
=w(w+11)+6(w+11)
=(w+11)(w+6)
From the answer, the width=6 units, length=11 units
Answer:
7 miles
Step-by-step explanation:
Mr. Luna's travels east and west are irrelevant to the question. He drives 3 miles north, then he drives 4 more miles north. 3 + 4 = 7, so Mr. Luna ends up 7 miles north of his home.