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3 years ago

-8x+32=4(-2-4x)What does X equal

Mathematics

1 answer:

marshall27 [118]3 years ago

7 0

Answer:

x = - 5

Step-by-step explanation:

Given

- 8x + 32 = 4(- 2 - 4x) ← distribute parenthesis on right side

- 8x + 32 = - 8 - 16x ( add 16x to both sides )

8x + 32 = - 8 ( subtract 32 from both sides )

8x = - 40 ( divide both sides by 8 )

x = - 5

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Gary is baking pretzels for his sister’s party. Some pretzels will be regular and some pretzels will be whole grain.

9966 [12]

Answer:

The constraints are

$x+y\geq 14$

$2y+x\leq 20$

$x\geq 0$

$y\geq 0$

Step-by-step explanation:

Let

x-------> the number of dozens of regular pretzels.

y-------> the number of dozens of whole-grain pretzels.

we know that

$x+y\geq 14$ --------> inequality A

$2y+x\leq 20$ -------> inequality B

$x\geq 0$ -------> inequality C (cannot be a negative number)

$y\geq 0$ ------> inequality D (cannot be a negative number)

The solution is the triangular shaded area

see the attached figure

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

MARSVECTORCALC6 3.4.020. My Notes A rectangular box with no top is to have a surface area of 64 m2. Find the dimensions (in m) t

ioda

Answer:

We would have

$l =w =\frac{8\sqrt{3}}{3} \\h = \frac{8\sqrt{3}}{6}$

where " l " is length, " w" is width and "h" is height.

Step-by-step explanation:

Step 1

Remember that

Surface area for a box with no top = $lw+2lh+2wh = 64$

where " l " is length, " w" is width and "h" is height.

Step 2.

Remember as well that

Volume of the box = $l*w*h$

Step 3

We can now use lagrange multipliers. Lets say,

$F(l,w,h) = lwh$

and

$g(l,w,h) = lw+2lh+2wh = 64$

By the lagrange multipliers method we know that

$\nabla F = \lambda \nabla g$

Step 4

Remember that

$\nabla F = (wh,lh,lw)$

and

$\nabla g = (w+2h,l+2h , 2w+2l)$

So basically you will have the system of equations

$wh = \lambda (w+2h)\\lh = \lambda (l+2h)\\lw = \lambda (2w+2l)$

Now, remember that you can multiply the first eqation, by "l" the second equation by "w" and the third one by "h" and you would get

$lwh = l\lambda (w+2h)\\\\lwh = w\lambda (l+2h)\\\\lwh = h\lambda (2w+2l)$

Then you would get

$l\lambda (w+2h) = w\lambda (l+2h) = h\lambda (2w+2l)$

You can get rid of $\lambda$ from these equations and you would get

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And from those equations you would get

$l = w =2h$

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If we plug in what we just got, we would have

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4 years ago

Mr. Crosson selects two students from his class to present their reports on Spain. He places the names of each student in a box

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3 years ago

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Ivenika [448]

Answer:

Step-by-step explanation:

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3 years ago

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-8x+32=4(-2-4x)What does X equal ​

-8x+32=4(-2-4x)What does X equal