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Firdavs [7]
3 years ago
12

Find the greatest common factor whats 24 and 30

Mathematics
1 answer:
dem82 [27]3 years ago
4 0

Answer:

6

Step-by-step explanation:

we will calculate the prime factors( gcd) of the numbers by matching the biggest comman factor of 24 or 30

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Ecuación<br> 2/3 x – x / 6 = 2
Mekhanik [1.2K]

Answer:

x=4

Step-by-step explanation:

multiply both sides, colect the terms, divide,  answer!

5 0
3 years ago
This extreme value problem has a solution with both a maximum value and a minimum value. use lagrange multipliers to find the ex
harina [27]
L(x,y,z,\lambda)=8x+8y+4z+\lambda(4x^2+4y^2+4z^2-36)

L_x=8+8\lambda x=0\implies 1+\lambda x=0
L_y=8+8\lambda y=0\implies 1+\lambda y=0
L_z=4+8\lambda z=0\implies 1+2\lambda z=0
L_\lambda=4x^2+4y^2+4z^2-36=0\implies x^2+y^2+z^2=9

yL_x=y+\lambda xy=0
xL_y=x+\lambda xy=0
\implies yL_x-xL_y=y-x=0\implies y=x

2zL_x=2z+2\lambda xz=0
xL_z=x+2\lambda xz=0
\implies 2zL_x-xL_z=2z-x=0\implies x=2z

2zL_y=2z+2\lambda yz=0
yL_z=y+2\lambda yz=0
\implies 2zL_y-yL_z=2z-y=0\implies y=2z

x=y=2z\implies x^2+y^2+z^2=9\iff 4z^2+4z^2+z^2=9z^2=9\implies z=\pm1

z=\pm1\implies y=x=\pm2

So we have two critical points, (2, 2, 1) and (-2, -2, -1), which respectively give a max of 36 and a min of -36.
5 0
3 years ago
Using synthetic division, find (x4 − 2) ÷ (x + 1).
Fiesta28 [93]

Answer:

Step-by-step explanation:

We have given:

x^4-2/x+1

Put x+1 = 0

x= 0-1

x= -1

-1 | 1   0   0   0   -2

  |      -1   1   -1     1

_______________

    1    -1   1  -1    -1

Thus it makes the expression:

x^3-x^2+x-1 - 1/x+1

You can further confirm this expression by solving the expression:

(x4 − 2) ÷ (x + 1).

x^4 - 1 -1/x+1

x^4-1/x+1 - 1/x+1

(x^2-1) (x^2+1)/x+1 - 1/x+1

(x-1)(x+1) (x^2+1)/x+1  - 1/x+1

x+1 n the numerator will be cancelled out by x+1 in the denominator.

(x-1) (x^2+1) - 1/x+1

Multiply (x^2+1) by x-1

x(x^2+1) -1(x^2+1)  - 1/x+1

x^3+x-x^2-1 - 1/x+1

x^3-x^2+x-1 - 1/x+1 ....

6 0
3 years ago
Help I’m struggling like hell
alexdok [17]

Answer:

No idea

Sorry can't help☹️

3 0
2 years ago
You buy t tickets to a baseball game for a total of $60. Write an algebraic expression that represents the cost of each ticket.
Kamila [148]

Answer:

$60/t

Step-by-step explanation:

t tickets--> $60

1 ticket---> $60/t

4 0
3 years ago
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