Answer:
Only natural numbers (i.e., non-negative integers) can be the exponents of variables in a polynomial.
Step-by-step explanation:
The exponent of variables in a polynomial should be natural numbers (
,
,
,
,
.)
is equal to
. In this expression,
is the variable. Its exponent is
, which isn't a natural number.
- On the other hand,
is equivalent to
. The exponent of variable
is
, which is indeed a natural number.
isn't a polynomial because the exponent of variable
isn't a natural number. On the other hand,
is indeed a polynomial over the set of real numbers.
Answer:
c. (5, -2)
Step-by-step explanation:
as we can clearly see, the 4th vertex has to be on the positive side of x.
therefore, all answer options with negative x are out.
(2, -5) is almost at D (-1, 5). that cannot be right for a rectangle.
that leaves only c as right answer.
FYI - how to get this without predefined answer portions ?
the x- difference of B to A is 4 (from -5 to -1). the x-difference from D to C must be the same (4). 1 + 4 = 5.
so, x of D must be 5.
the y- difference of B to A is 3 (from 3 to 6). the y-difference from D to C must be the same (3). -5 + 3 = -2.
so, y of D must be -2.
Glad you asked this question! Over the years of working with my professor we learned that if phs= 5 (constant) times the j to the power of 2 you will get the formula or polynomialic equation. It quite fascinating and due to using his equation the answer in fact is "c". Cheers
Answer:
(2, -1)
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>
2x + y = 3
-2x + 5y = -9
<u>Step 2: Solve for </u><em><u>y</u></em>
<em>Elimination</em>
- Combine equations: 6y = -6
- Divide 6 on both sides: y = -1
<u>Step 3: Solve for </u><em><u>x</u></em>
- Define equation: 2x + y = 3
- Substitute in <em>y</em>: 2x - 1 = 3
- Isolate <em>y</em> term: 2x = 4
- Isolate <em>y</em>: x = 2