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Mashcka [7]
3 years ago
8

which ordered pairs are a solution to the equation? y=2×-3 select all that apply (4,2) (1,-1) (-1,-7) (2,1)​

Mathematics
1 answer:
kirill [66]3 years ago
3 0

To check if a point, such as (1, -1), is on your line, you can either sub in both the x and y values of each point into your line's equation, or one and check if the other matches up with your point.

For example, the x value of (1, -1) is 1, and the y value is -1. Sub these points into your equation:

y = 2x - 3 Original equation

(-1) = 2(1) - 3 Sub in points

-1 = 2 - 3

-1 = -1 Sides equal, therefore point is on line

If a point is NOT on the line:

y = 2x - 3 Original equation

(2) = 2(4) - 3 Sub in points

2 = 8 - 3

2 = 5 Sides do NOT equal, point is NOT on line, NOT a solution

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aalyn [17]
If a(n) = (39n^4 -506n^3 + 2341n^2 - 4610n + 3416) / 8 then 

<span>a(1) = 85 </span>
<span>a(2) = 17 </span>
<span>a(3) = 19 </span>
<span>a(4) = 4 </span>
<span>a(5) = 2</span>
8 0
3 years ago
Factor the expression completely 8x^2-18 Please help
nirvana33 [79]

Answer:

2 (2x - 3) x (2x + 3)

4 0
3 years ago
The school store opened on the first day of school with 45 notebooks and 15 pencils. Within two days it sold all of these items.
malfutka [58]

The number of pencils sold on the first day  is 5 pencils.

The number of notebooks sold on the first day  is 10 notebooks.

The number of pencils sold on the second day 10 pencils.

The number of notebooks sold on the second day   35 notebooks.

<u>Step-by-step explanation:</u>

Given data,

  • The total number of notebooks in the store = 45 notebooks.
  • The total number of Pencils in the store = 15 pencils.
  • The number of days that all items were sold = 2 days.

Now, you have to calculate the no.of notebooks and no. of pencils sold each day.

<u>In the first day :</u>

The number of sale of notebooks and pencils are given by,

Twice as many notebooks were sold as pencils.

Let us take, the number of pencils sold on the first day  = x

And,  the number of notebooks sold on the first day  = 2x (Twice as pencils).

<u>In the second day :</u>

The number of sale of notebooks and pencils are given by,

For every 7 notebooks​ sold, 2 pencils were sold.

The number of pencils sold on the second day =   2y

The number of notebooks sold on the second day   = 7y

<u> The equation is framed for number of notebooks sold on each day :</u>

The number of notebooks sold ⇒ 2x + 7y = 45   -------(1)

<u> The equation  is framed for number of pencils sold on each day :</u>

The number of pencils sold: x + 2y = 15  ----------(2)

Solving the equations by multiplying eq(2) by 2 and subtract it from eq(1),

  2x + 7y = 45

-<u> (2x + 4y) = 30</u>

   <u>        3y = 15  </u>

⇒ y = 15/3

⇒ y = 5

The value of y is 5.

Substitute y=5 in eq (2),

⇒ x + 2(5) = 15

⇒ x + 10 = 15

⇒ x = 15 - 10

⇒ x = 5

The value of x is 5.

First day sale,

The number of pencils sold on the first day  = x ⇒ 5 pencils

The number of notebooks sold on the first day  = 2x ⇒ 10 notebooks

Second day sale,

The number of pencils sold on the second day =   2y ⇒ 10 pencils

The number of notebooks sold on the second day   = 7y ⇒ 35 notebooks.

8 0
3 years ago
y = –6x 2 –12x – 2y = –4 how many solutions does this linear system have? one solution: (0, 0) one solution: (1, –4) no solution
lara [203]
Y = -6x + 2 . . . . . . . . (1)
-12x - 2y = -4 . . . . . . (2)
Putting (1) into (2), we have
-12x - 2(-6x + 2) = -4
-12x + 12x - 4 = -4
-4 = -4

Therefore, the system has infinite number of solutions.
5 0
3 years ago
Read 2 more answers
What is 3×4y i need it ASAP
I am Lyosha [343]

Hello!

Explanation:

First, you had to do is multiply by the numbers. And don't forget to used variables.

4*3=12

3*4=12

12/4=3

12/3=4

Answer: → =12y

Hope this helps!

Thanks!

-Charlie

4 0
3 years ago
Read 2 more answers
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