Answer:
A. {x: x ≥ -4}
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>
- Terms/Coefficients
- {Builder Set Notation}
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
3(2x - 1) - 11x ≤ -3x + 5
<u>Step 2: Solve for </u><em><u>x</u></em>
- [Distributive Property Distribute 3: 6x - 3 - 11x ≤ -3x + 5
- [Subtraction] Combine like terms: -5x - 3 ≤ -3x + 5
- [Addition Property of Equality] Add 5x on both sides: -3 ≤ 2x + 5
- [Subtraction Property of Equality] Subtract 5 on both sides: -8 ≤ 2x
- [Division Property of Equality] Divide 2 on both sides: -4 ≤ x
- Rewrite: x ≥ -4
Answer:
2x - 0.4x ;
8x/5 ;
Yes
Step-by-step explanation:
Let number of miles = x
Arlene:
Double number of miles = 2 * x = 2x
Subtract 20% of the result :
2x - 20% of 2x ;
2x - 0.4x
Raul:
Divides Number of miles by 5 ; x / 5
Multiplies result by 8 ;
8 * (x/5) = 8x /5
To know if expressions are equivalent :
Let x = 10 miles
Using Arlene's expression:
2x - 0.4x
x = 10
2(10) - 0.4(10) = 16
Using Raul's expression :
8x / 5
(8*10) / 5
80/5
= 16
Since they give the same result, we can conclude that the expression are equivalent
First thing I can multiply in the answer I get from all the flying you're going to add that number and you'll get your answer
Answer: -x - 3√x + 4
(1 - √x)(√x + 4)
= √x + 4 - √x.√x - 4√x
= -x - 3√x + 4
Step-by-step explanation:
<em>Answer:</em>
<em>D)</em>
<em>Step-by-step explanation:</em>
<em>We know that it cannot be C since z is not involved in this problem.</em>
<em>a) 3/20x</em>
<em>Try with 20 = x</em>
<em>3/440 ≠ 3</em>
<em>A is not the answer.</em>
<em>b) 60x</em>
<em>Try with 20 = x</em>
<em>1800 ≠ 3</em>
<em>B is not the answer.</em>
<em>c) 60/x</em>
<em>Try with 20 = x</em>
<em>3 = 3</em>
<em>Try with 15 = x</em>
<em>4 = 4</em>
<em>D is your answer.</em>
<em>Hope this helps. Have a nice day. Oh, and one more thing. Surprised to see I'm not stealing points?</em>