Responder:
1/12
Explicación paso a paso:
Entonces multiplicamos 9 por 3 y obtenemos 27.
Luego multiplicamos 2 por 12 y obtenemos 24.
A continuación, le damos a ambos términos nuevos denominadores: 12 × 3 = 36.
Así que ahora nuestras fracciones se ven así:
27
36
-
24
36
Paso 2
Dado que nuestros denominadores coinciden, podemos restar los numeradores.
27 - 24 = 3
Entonces la respuesta es:
3
36
Paso 3
Por último, necesitamos simplificar la fracción, si es posible. ¿Se puede reducir a una fracción más simple?
Para averiguarlo, intentamos dividirlo por 2 ...
¡No! Así que ahora probamos con el siguiente número primo mayor, 3 ...
¿Son tanto el numerador como el denominador divisibles por 3? ¡Sí! Entonces lo reducimos:
3
36
÷ 3 =
<u>1/12 </u>
Answer:
x = -7/4
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>
Step-by-step explanation:
<u>Step 1: Define</u>
5x + 3 - 2x = 12 + 7x - 2
<u>Step 2: Solve for </u><em><u>x</u></em>
- Combine like terms: 3x + 3 = 7x + 10
- [SPE] Subtract 3x on both sides: 3 = 4x + 10
- [SPE] Subtract 10 on both sides: -7 = 4x
- [DPE] Divide 4 on both sides: -7/4 = x
- Rewrite: x = -7/4
<u>Step 3: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in <em>x</em>: 5(-7/4) + 3 - 2(-7/4) = 12 + 7(-7/4) - 2
- Multiply: -35/4 + 3 + 7/2 = 12 - 49/4 - 2
- Add: -23/4 + 7/2 = 12 - 49/4 - 2
- Add: -9/4 = 12 - 49/4 - 2
- Subtract: -9/4 = -1/4 - 2
- Subtract: -9/4 = -9/4
Here we see that -9/4 does indeed equal -9/4.
∴ x = -7/4 is the solution to the equation.
The interval from x = -4 to x = 0 is when the graph is completely flat.
We can write this interval as -4 < x < 0 which becomes (-4,0) in interval notation
That's why the answer is choice C
Note: be careful not to mix up interval notation and ordered pair notation
First you need to get x on one side so subtract 3x from both sides which will leave you with 8=2x-20. Next add 20 to both sides to get 28=2x. Then divide everything by 2 and you should get x = 14.
! means factorial, if you did not already know. It means multiply together all the numbers leading up to that number. For example, 4! = 4x3x2x1 = 24
Evaluate means just solve it.
9! = 9x8x7x6x5x4x3x2x1 = 362880
5! = 5x4x3x2x1 = 120
362880 - 120 = 362760
There is your answer
