<em><u>Polynomials in standard form:</u></em>
<em><u>Solution:</u></em>
Standard form of polynomials: terms are ordered from biggest exponent to lowest exponent
<em><u>Option A:</u></em>
The above is a polynomial
Where, largest exponent is arranged first
Therefore, it is standard form of polynomial
<em><u>Option B</u></em>
Here, exponents are from greatest to least
Therefore, it is standard form of polynomial
<em><u>Option C</u></em>
Here, "t" is a variable. The first term has largest degree
Therefore, it is standard form of polynomial
Answer:
<h3>
A = 0.5(2x+6)(6x+13) = 6x² + 49x + 78</h3>
Step-by-step explanation:
H = 2x+6 - the hight
3H = 3(2x+6) - triple the hight
3H-5 = 3(2x+6) - 5 - five less than triple the height
Area of triangle: A = 0.5BH
B = 3(2x+6)-5 = 6x + 18 - 5 = 6x + 13
H = 2x+6
So:
A = 0.5(2x+6)(6x+13) = (x+6)(6x+13) = 6x² + 13x + 36x + 78
A = 6x² + 49x + 78
Answer;
They are 3 terms
The terms are the numbers and the variables separated by the minus sign and the plus sign
Answer:
x = 0.357143
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
Step-by-step explanation:
<u>Step 1: Define</u>
-1.6 - 2x = 5x + 0.9
<u>Step 2: Solve for </u><em><u>x</u></em>
- Add 2x on both sides: -1.6 = 7x + 0.9
- Subtract 0.9 on both sides: 2.5 = 7x
- Divide 7 on both sides: 0.357143 = x
- Rewrite: x = 0.357143
