The two terms are x and 2, thus, x+2 is a binomial. We have to multiply the binomial by itself four times since it is raised to 4th power.
Let us multiply x+2 by itself using Polynomial Multiplication:
(x+2)(x+2) = x^2 + 4x + 4
Taking the result, let us multiply it again by a+b:
(x^2 + 4x + 4)(x+2) = x^3 + 6x^2 + 12x + 8
And again:
(x^3 + 6x^2 + 12x + 8)(x+2) = x^4 + 8x^3 + 24x^2 + 32x +16
The binomial expansion of (x+2)^4 is x^4 + 8x^3 + 24x^2 + 32x +16
Answer:
B. There is no solution.
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
- Solving systems of equations by graphing
Step-by-step explanation:
<u>Step 1: Define systems</u>
y = x + 9x + 5
y = -x + 11x + 29
<u>Step 2: Simplify systems</u>
y = 10x + 5
y = 10x + 29
<u>Step 3: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: 10x + 5 = 10x + 29
- Subtract 10x on both sides: 5 ≠ 29
Here we see that 5 does not equal 29.
∴ The systems has no solutions.
<u>Step 4: Graph systems</u>
<em>Check the solution set (if applicable).</em>
We see that the 2 lines are parallel and will never intersect. Therefore, this proves that our systems has no solution.
To change 97/14 into a mixed number, first figure out how many times 14 can go into 97 without going over. This would be 6 times which would be the whole number part of your mixed number. Then, multiply 6 by 14 to get 84 and subtract it from 97 to get 13 which would be the part over 16. This would result in your answer 6 13/16, would be 97/14 in mixed number form.
Answer:
Step-by-step explanation:
2x²-13x+21+6x²+29x-5
=8x²+16x+16
There is a 1:10 chance of the needle landing on 9.