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k0ka [10]
3 years ago
9

Determine the slope for the line below

Mathematics
1 answer:
kow [346]3 years ago
7 0

Answer:

C : 20

good luck, hope this helped!

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Christie bought two kids’ meals today for $7.30. Yesterday, she bought three kids’ meals for $10.95. The equation p = km represe
Veseljchak [2.6K]

The value of k in the equation p = km is 3.65

<h3 />

How to find k using equation?

The value of k can be found as follows:

She bought two kids’ meals today for $7.30.

Yesterday, she bought three kids’ meals for $10.95.

Therefore,

p = km

where

m =  number of meals bought

p = total cost of the kids’ meals

Therefore,

k = p / m

k = 10.95 / 3

k = 3.65

learn more on equation here: brainly.com/question/2792798

#SPJ1

3 0
2 years ago
100 POINTS HURRY
Travka [436]

Answer :

1

5 0
3 years ago
Jeremy wants to construct an open box from an 18-inch square piece of aluminum. He plans to cut equal squares, with sides of x i
serious [3.7K]

a.

The volume of the box V = 4x³ - 72x² + 324x

Since the dimensions of the square piece of paper are 18 inches each, and we cut out a length x from each side to give a total length of 2x cut from each side. So, each dimension is L = 18 - 2x.

Since the height of the open box is x and its base is a square, the volume of the open box ix V = L²x

= (18 - 2x)²x

= (324 - 72x + 4x²)x

= 324x - 72x² + 4x³

The volume of the box V = 4x³ - 72x² + 324x

b.

The minimum value of length of the sides of the squares cut from each corner is x = 3 inches.

  • the length of the box, L = 12 inches,
  • the width of the box = 12 inches
  • and the height of the box, x = 3 inches.

Since the volume of the box is 432 cubic inches,

V = 324x - 72x² + 4x³

324x - 72x² + 4x³ = 432

4x³  - 72x² + 324x - 432 = 0

x³  - 18x² + 81x - 108 = 0

A factor of the expression is x - 3

So, x³  - 18x² + 81x - 108 ÷ x - 3 = x² - 15x + 36

So,  x³  - 18x² + 81x - 108 = (x² - 15x + 36)(x - 3) = 0

Factorizing the expression x² - 15x + 36 = 0

x² - 3x - 12x + 36 = 0

x(x - 3) - 12(x - 3) = 0

(x - 3)(x - 12) = 0

So,  x³  - 18x² + 81x - 108 = (x - 3)(x - 3)(x - 12) = 0

So, (x - 3)²(x - 12) = 0

(x - 3)² = 0 and (x - 12) = 0

x - 3 = √0 and x - 12 = 0

x - 3 = 0 and x - 12 = 0

x = 3 twice and x = 12

Since x = 3 is the minimum value, the minimum value of x = 3.

Since the length of the box, L = 18 - 2x

= 18 - 2(3)

= 18 - 6

= 12 inches

The width of the box = L = 12 inches

The height of the box = x = 3 inches.

So,

The minimum value of length of the sides of the squares cut from each corner is x = 3 inches.

  • the length of the box, L = 12 inches,
  • the width of the box = 12 inches
  • and the height of the box, x = 3 inches.

Learn more about volume of a box here:

brainly.com/question/13309609

6 0
2 years ago
Please help me with my maths prep...........
vodomira [7]

Answer:

uumm

Step-by-step explanation:

7 0
3 years ago
I NEED THE RIGHT ANSWER TO THIS MATH QUESTION ASAP NO LINKS !!!
gregori [183]

Answer:

its 133 that's the answer so 133-32=101 or just x=101+32=the answer

3 0
2 years ago
Read 2 more answers
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