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grin007 [14]
2 years ago
8

Plot the following linear equations and then plot the solution.

Mathematics
2 answers:
kherson [118]2 years ago
3 0

Answer:

See below

Step-by-step explanation:

(1) Create a table containing a few values of x and y

I chose x = -5, 0, and 5.

\begin{array}{rcc}& \mathbf{y = x + 6} & \mathbf{y = 3x - 2}\\\mathbf{x} & \mathbf{y} & \mathbf{y}\\-5 & 1 & -17\\0 & 6 & -2\\5 & 11 & 13\\\end{array}

(2) Plot your points

Draw dots at the coordinates of each point ( Fig. 1).

(3) Draw the graph

Draw smooth lines through the points for each function.

Extend the lines in both directions to the edges of the plot area.

Your graphs should look like Fig. 2.

(4) Plot the solution

Note where the lines cross.

They appear to intersect at (4, 10).

Plot the point, and the finished graph should look like Fig. 3.

Bingel [31]2 years ago
3 0

Answer:

(2, 4)

Step-by-step explanation:

Both equations have been solved for y, so to find x we need only set the equations = to each other:    y=-x+6   =  y=3x-2

Combining like terms, we get 4x = 8, and x = 2.  Substituting 2 for x in y = 3x -2, we get y = 3(2) - 2 = 4.

The solution is (2, 4).  If you were to graph these two lines, you'd find that they intersect at (2, 4).

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si franco comió 8/3 de pizza y Fabián comió 5/6 de la misma pizza. ¿quien comió más ? si quedó 4/9 de pizza.​
devlian [24]

Answer:

Franco comió 8/3 de pizza.

Fabián comió 5/6 de pizza.

Queremos saber quien comió más.

Entonces básicamente queremos ver cuál número es más grande, 8/3 o 5/6,

Podemos reescribir el primero como:

8/3 = (2 + 3 + 3)/3 = 2/3 + 3/3 + 3/3 = 2/3 + 1 + 1

      = 2 + 2/3

En cambio, para el número 5/6, el numerador es menor que el denominador, entonces sabemos que:

5/6  < 1

Claramente podemos ver que 8/3 > 5/6

Entonces podemos concluir que Franco comió más.

8 0
3 years ago
A store sells mugs. Each mug costs the same amount. During a sale, the store reduces the price of each mug by $1.75. Wen spends
Sergio039 [100]
I’m assuming the question is what is the price of one mug WITHOUT the sale.

So since the price of 5 mugs is $28.20, we can work out the price of one mug with the sale.

We do this by doing:

$28.20 / 5

Which gives us:

$5.64 per mug during the sale.

To work out the price of a mug without the sale, we simply add on the amount that has been taken off (which we know is $1.75 because the question says so):

$5.64 + $1.75 = $7.39

Therefore we can conclude the price of a mug without a sale is $7.39

And the price of a mug during the sale is $5.64.

I hope this helps!
8 0
3 years ago
Select the correct answer.<br> Which statement is true?
dusya [7]

Answer:

third option is the correct

Step-by-step explanation:

A function is "odd" when f (-x) = - f (x) for all x. ... For example, functions like

  • f (x) = x3,
  • f (x) = x5,
  • f (x) = x7, ... are odd functions.
6 0
2 years ago
Read 2 more answers
What is the answer? I’m new here so please answer it?
11Alexandr11 [23.1K]

Answer:

$258 <u><em>I think</em></u>

Step-by-step Explanation:

3 0
3 years ago
The volume of a suitcase is 4.2 cubic feet. What is the volume of a suitcase that is smaller by a factor of 0.9.
Mariulka [41]
4.2 cubic feet * 0.9 = 3.78 ft^3
4 0
3 years ago
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