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3 years ago

Write a function rule for the table

Mathematics

1 answer:

podryga [215]3 years ago

3 0

For this case we must construct a function of the form $y = f (x)$ taking as reference the values of the table.

It is observed that if we evaluate the following function we have:

$f (x) = x + 4$

Different signs are subtracted and the sign of the major is placed.

$f (-3) = - 3 + 4 = 1\\f (-2) = - 2 + 4 = 2\\f (-1) = - 1 + 4 = 3\\f (0) = 0 + 4 = 4$

So, the function is: $f (x) = x + 4$

Answer:

$f (x) = x + 4$

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Which of the following equations must be true? A k +5 (3 – 1) = 15+ k B) 3+ 7k 21+ 3k C) 5 2k = 3K © 5 D) 5 (7 + k) = 35 + 5k

Lina20 [59]

Answer:

D is the correct answer

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7 0

3 years ago

The total cost for a chair, a desk, and a lamp is $562. The desk costs four times as much as the lamp and the chair costs $23 le

alexandr1967 [171]

Ok I’m giving a educated guess here so $562 divided by 3 is 187.3 then you do 187.3-23 which would be 164.3 so if I’m correct it would be 164.3 for both the chair and the lamp and 187.3 for the desk also just a heads up the .3 would be .333333.... :) I will delete if I’m wrong

4 0

4 years ago

A crate contains cylindrical cans of soup for shipment. Each crate is a cube with side lengths of 12in. Each soup can is 5in tal

denpristay [2]

The volume of the cube is base times width times height, or any of these measurements cubed, since they're all the same.
Therefore, the volume of the cube is:
12³ = 1728 in³
The volume of the cylinder is π*r²*h, where r is the radius and h is height
Remember that the diameter is twice the radius, so the radius is 2 in and the height is 5 in.
Therefore, each can has a volume of π * 2² * 5 = 20π
Approximating π as 3.14....
The volume of each can is 62.8 in³
1728 ÷ 62.8 = 27.5
Rounding down, 27 cans can fit in the crate.
This is how I suspect the teach wanted you to solve, since it involves finding the volume of both shapes and using pi. However, this is not actually how many cans can fit, because it does not take into account the fact that not every inch of available space will be used.

Here is another way to solve,taking this fact into account, that gives the more accurate answer:

Each can has a diameter of 4in, which means that they each require a square of 4 x 4 in to accommodate their base.
The base of each can requires 16 in² of space in the crate.
The base of the cube is 12 x 12, so the area of the base is 144 in²
144 ÷ 16 = 9, so the base of the cube, or bottom of the box, can fit 9 cans, arranged 3 by 3.

The cube has a height of 12 inches, and each can is 5 inches tall. Therefore, two of these stacks can fit in the box, for 9 x 2 = 18 cans.
This is a much better answer, as it takes into account the fact that the cans can't occupy every inch of available space in the cube.

5 0

4 years ago

There are 15 books on a shelf. 6 of these books are new.(

Hunter-Best [27]

The ratio of all books to used books = all books ÷ used books = 15 / (15-6) = 5/3


 The ratio of new books to used books = new books ÷ used books = 6 / 9 = 2/3


 I hope that helps!

4 0

4 years ago

John bought 4 pants that each cost the same amount and a pair of sneakers that cost $65. The items he bought cost a total of $14

Rzqust [24]

Answer:p=$20

Step-by-step explanation:

145-65=80

80/4=20

so each pant costs $20

p=$20

7 0

3 years ago