Answer:
7n + 9 = n² + 1
n = -1, 8
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>
- Factoring
- Solving quadratics
Step-by-step explanation:
<u>Step 1: Set up Equation</u>
"Nine more" is + 9
"Seven times a number" is 7n
"One more" is + 1
"Square of the [same] number" is n²
7n + 9 = n² + 1
<u>Step 2: Solve for </u><em><u>n</u></em>
- Subtract 7n on both sides: 9 = n² - 7n + 1
- Subtract 9 on both sides: 0 = n² - 7n - 8
- Factor quadratic: 0 = (n - 8)(n + 1)
- Solve roots: n = -1, 8
Answer:
the answer will be 10 aka number 1
Step-by-step explanation:
If the left side is 18 and the number above it is half that aka 9 then the other side is 10
Answer:
x = -7, x = 7
Step-by-step explanation:
Firstly, you are going to set the equation to 0, and then factor it.
Set equation to 0 -----> f(x)= x^2 - 49 will become x^2 - 49 = 0
Now, you're going to factor the equation.
You'll get (x-7) (x+7) upon factoring.
Thirdly, you will set (x-7)(x+7) equal to 0 and also solve for x.
Keep in mind that you'll be treating them as two separate equations
So, ----> (x-7) = 0 (x+7) = 0
When you solve for the x, you'll find out that x is equal to 7 and -7 ---> these are your zeros.
The probability of choosing a king or red would be 28/52. The simplified version would be 7/13 because there are 52 cards in a standard deck. There are also four suits, so if you divide 52 by 4, you get 13. Because the problem says red OR a king, you would add 3 to 13 because there are 4 kings total and 13 is the total amount of cards per suit. Because the problem also says red cards, you would add another 13. So you are left with the equation 13(2) + 3 which equals 28. There are 52 cards in total, so then you are left with the fraction probability of 28/52. Simplified would be 7/13.
