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Nataliya [291]
2 years ago
15

The expression 3x + 2 represents the number of miles Emma walked in x hours. Lea walked 4x - 1 miles in x hours. Write an expres

sion that represents how much farther Lea walked than Emma. Explain how you got your answer.
Mathematics
2 answers:
Novay_Z [31]2 years ago
8 0
79 is the answer because she walked 4 x 1 equals 4 so then do 3x2 equals 6 so add 6 plus 4 that gives you 10 so Ema walked 10 more then Lea
IRISSAK [1]2 years ago
3 0
The answer is 24 al al
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3 years ago
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8 0
2 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
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