Answer:
256 diputados
Step-by-step explanation:
Paso 1
Encontramos la fracción de diputados que vota en blanco
Sea fracción total de diputados = 1
Fracción de diputados que vota en blanco = x
5/8 de los diputados votaron a favor.
= 1 - 5/8 = 3/8
3/4 del resto de diputados votaron en contra, de ahí:
= 3/4 de 3/8
= 9/32 votaron en contra
1 = 5/8 + 9/32 + x
x = 1 - (5/8 + 9/32)
x = 1 - (20+ 9/32)
x = 1 - 29/32
x = 3/32
Paso 2
Número total de diputados presentes =
3/32 × x = 24
3 veces / 32 = 24
Multiplicar en cruz.
3x = 32 × 24
x = 32 × 24/3
x = 256 diputados
De ahí que estuvieran presentes 256 diputados
Answer:
![\frac{x^6}{6}- \frac{x^5}{5}- \frac{x^4}{4} +4x^2+C](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E6%7D%7B6%7D-%20%5Cfrac%7Bx%5E5%7D%7B5%7D-%20%5Cfrac%7Bx%5E4%7D%7B4%7D%20%2B4x%5E2%2BC)
Step-by-step explanation:
Step 1
The first step is to rearrange the function so that powers of x are in descending form as show below,
![f(x)=x^5-x^3+8x-x^4=x^5-x^4-x^3+8x](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E5-x%5E3%2B8x-x%5E4%3Dx%5E5-x%5E4-x%5E3%2B8x)
Step 2
The second step is to realize that the anti derivative is the indefinite integral of the function . We compute the integral and then add the constant C in the end. We will use the result that
on every term of the fraction.
This calculation is shown below,
![\int f(x)dx=\int \bigl( x^5-x^4-x^3+8x\bigr)dx\\\int f(x)dx=\bigl(\frac{x^{5+1}}{5+1} -\frac{x^{4+1}}{4+1}- \frac{x^{3+1}}{3+1}+\frac{8x^{1+1}}{(1+1)}+C \bigr)\\\int f(x)dx= \frac{x^6}{6}- \frac{x^5}{5}- \frac{x^4}{4} +4x^2+C](https://tex.z-dn.net/?f=%5Cint%20f%28x%29dx%3D%5Cint%20%5Cbigl%28%20x%5E5-x%5E4-x%5E3%2B8x%5Cbigr%29dx%5C%5C%5Cint%20f%28x%29dx%3D%5Cbigl%28%5Cfrac%7Bx%5E%7B5%2B1%7D%7D%7B5%2B1%7D%20-%5Cfrac%7Bx%5E%7B4%2B1%7D%7D%7B4%2B1%7D-%20%5Cfrac%7Bx%5E%7B3%2B1%7D%7D%7B3%2B1%7D%2B%5Cfrac%7B8x%5E%7B1%2B1%7D%7D%7B%281%2B1%29%7D%2BC%20%20%5Cbigr%29%5C%5C%5Cint%20f%28x%29dx%3D%20%5Cfrac%7Bx%5E6%7D%7B6%7D-%20%5Cfrac%7Bx%5E5%7D%7B5%7D-%20%5Cfrac%7Bx%5E4%7D%7B4%7D%20%2B4x%5E2%2BC)
Step 3
The third step is to verify using differentiation that the indefinite integral is correct. We will do this by differentiating every term of the integral with respect to x as shown below
![\frac{d}{dx} \bigl[\frac{x^6}{6} -\frac{x^5}{5}- \frac{x^4}{4} +4x^2+c\bigr]=6\cdot\frac{x^{6-1}}{6}-5\cdot\frac{x^{5-1}}{5}-4\cdot\frac{x^{4-1}}{4}+2\cdot 4x^{2-1}+0=x^5-x^4-x^3+8x](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%20%5Cbigl%5B%5Cfrac%7Bx%5E6%7D%7B6%7D%20-%5Cfrac%7Bx%5E5%7D%7B5%7D-%20%5Cfrac%7Bx%5E4%7D%7B4%7D%20%2B4x%5E2%2Bc%5Cbigr%5D%3D6%5Ccdot%5Cfrac%7Bx%5E%7B6-1%7D%7D%7B6%7D-5%5Ccdot%5Cfrac%7Bx%5E%7B5-1%7D%7D%7B5%7D-4%5Ccdot%5Cfrac%7Bx%5E%7B4-1%7D%7D%7B4%7D%2B2%5Ccdot%204x%5E%7B2-1%7D%2B0%3Dx%5E5-x%5E4-x%5E3%2B8x)
This shows that the integral is indeed correct.
Step-by-step explanation:
I hope this will help if you have any questions please feel free to contact me
It would be 10x8 10 length and 8 width
Answer:
$22
Step-by-step explanation:
Since you already have 2 necklaces and u want to own a total of 24, you will subtract 2 away from 24 so 24-2=22 and all new necklaces cost 1 dollar so 22x1=22
so you will spend $22