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3 years ago

Which mathematics property justify the following statement? 3(5x+2)=3×5x+3×2

Mathematics

1 answer:

olchik [2.2K]3 years ago

5 0

<span>3(5x+2)=3×5x+3×2

Distributive property....</span>

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What is the answer for question 7?

Norma-Jean [14]

We know the cofunction identity $tan(90-x)=cotx$ .

Thus, the tangent of 90° minus <span>θ also equals 5.</span>

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3 years ago

Blueberries are $4.99 a pound. Diego buys b pounds of blueberries and pays $14.95.

Salsk061 [2.6K]

Answer: Diego buys about 3 pounds of blueberries, b

Step-by-step explanation: Lets write an equation to solve for b, how many pounds of blueberries he bought.

4.99b=14.95

Solve:

4.99b divided by 4.99 = 14.95 divided by 4.99

b = 3

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3 years ago

I do not get this at all

Rina8888 [55]

I had problems with the same thing when i was in middle school gotta take it step by step

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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

HELP PLEASE

Marina CMI [18]

Answer:

1/20

Step-by-step explanation:

probability of numbers =1/20

there are 20 numbers in the deck so each card represents 1/20.

7 0

3 years ago