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NeX [460]
2 years ago
6

DUE TODAY PLZ HELP!!

Mathematics
1 answer:
Gnoma [55]2 years ago
3 0

The solution to the system of equations expressed as a coordinate point is (x.y)=(-1,1)

To solve the system

3x + y = -2\\y = 2x + 3

Note that y is already made subject of formula in y = 2x + 3. So substitute the value for y into 3x + y = -2 to eliminate y and leave us with an equation with x

3x + y = -2\\3x + (2x+3) = -2\\3x+2x+3=-2\\3x+2x=-2-3\\5x=-5\\\frac{5x}{5}=\frac{-5}{5}\\x=-1

Substitute this value of x into y = 2x + 3 to get the value of y

y = 2(-1) + 3\\y=-2+3\\y=1

The solutions are x=-1,y=1, or expressed as a coordinate point

(x.y)=(-1,1)

Learn more about systems of equations here: brainly.com/question/16763389

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12 3/8 divided by 3/4
oksano4ka [1.4K]

Answer:

32/2 or 16.5

Step-by-step explanation:

4 0
3 years ago
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What integer can be represented by 16 positive tiles and 26 negative tiles
pogonyaev
16 positive and 26 negative.......16 - 26 = -10 <==
6 0
3 years ago
Identify an equation that models the situation and find its solution. Kane planned to build a 53-centimeter-tall model of a buil
alex41 [277]

Answer:

The increment in the model is 106cm

Step-by-step explanation:

Given

Initial\ Height = 53cm

Final\ Height = 159cm

Required

Determine the increment

To do this, we simply subtract the initial height of the building from the final height

Increment = Final\ Height - Initial\ Height

Increment = 159cm - 53cm

Increment = 106cm

<em>Hence, the increment in the model is 106cm</em>

7 0
3 years ago
Imagina que vas a un partido de béisbol con tus amigos, y tienen hambre. El costo de dos botellas de agua y 3 bolsas de palomita
Rudik [331]

Answer:

El costo de una botella de agua es de $10

El costo de una bolsa de palomitas de maíz es de $15.

Step-by-step explanation:

Los parámetros dados son;

El costo de dos botellas de agua y 3 bolsas de palomitas de maíz = $65

El costo de 4 botellas de agua y 1 bolsa de palomitas de maíz = $55

Donde x = El costo de una botella de agua ey = El costo de una bolsa de palomitas de maíz, tenemos;

2 × x + 3 × y = 65 ... (1)

4 × x + y = 55 ... (2)

Haciendo y el tema de ambas ecuaciones, tenemos;

Para la ecuación (1), tenemos;

2 · x + 3 · y = 65

3 · y = 65 - 2 · x

y = 65/3 - 2/3 · x

Para la ecuación (2), tenemos;

4 · x + y = 55

y = 55 - 4 · x

Igualando ambos valores de y para encontrar la solución común, tenemos;

65/3 - 2/3 · x = 55 - 4 · x

4 · x - 2/3 · x = 55 - 65/3

10 · x / 3 = 100/3

∴ 10 · x = 100

x = 100/10 = 10

x = 10

El costo de una botella de agua = x = $10

y = 55 - 4 · x = 55 - 4 × 10 = 55 - 40 = 15

y = 15

El costo de una bolsa de palomitas de maíz = y = $15

4 0
3 years ago
Describe the behavior of the function h around its vertical asymptote at x=-6.
steposvetlana [31]

Answer:

B

Step-by-step explanation:

One good way to look at this is to graph both polynomials, as shown in the picture. A tip to help graph is to factor it out and work from there. For example, in x²+14x+48, we can gather that (x+6)(x+8) is the same thing, and it is easier to then graph it. Similarly, for x²+12x+36, we can factor it out as (x+6)² .

When x²+12x+36 approaches 6, it is getting really close to 0, but it stays positive. When x²+14x+48 approaches 6 from the negative side, it is also getting close to 0, but it's negative. When x²+14x+48 approaches 6 from the positive side, it is positive.

Therefore, on the negative side, there is one positive and one negative (dividing a negative by a positive is negative, and a positive by a negative is also negative) , and on the positive side, there are two positives, forming one answer.The answer is therefore B

7 0
3 years ago
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