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asambeis [7]
3 years ago
8

Classify the system of equations 1/3x+y+2=0 1/2x+y-5=0 A. intersecting B. parallel C. coincident

Mathematics
2 answers:
oksano4ka [1.4K]3 years ago
6 0

Answer:

A. intersecting


Step-by-step explanation:

write the equations in the from of y = mx + c

Where m = slope

            c = y-intercept.

1/3x + y + 2 = 0

1/3x + y = -2

y = -1/3x - 2

1/2x + y - 5 = 0

1/2x + y = 5

y = -1/2x + 5

The equations are not parallel

-1/3x - 2 = -1/2x + 5

1/2x - 1/3x = 5 + 2

1/6x = 7

x = 7× 6/1

   = 42

y =  -1/3×42 -2

  = -14 - 2

 = -16

The equations intersect at point (42,-16)

sergiy2304 [10]3 years ago
4 0

Answer: A. intersecting


Step-by-step explanation:

1. To solve this problem and classify the system of equations shown above, you can graph it has you can see in the graph attached.

2. As you can see the lines intersect each other, this means that the system of equation has one solution and the lines are intersecting.

 3. Therefore, the answer is the option A: Intersecting.



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Answer:

15.50/hr

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15.50×51/2=

82.50$

3 0
3 years ago
Add the matrices to find the answer.
gayaneshka [121]

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\large \boxed{\mathrm{Option \ C}}

Step-by-step explanation:

{\mathrm{view \ attachment}}

7 0
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Which statement correctly explains the chart?
makvit [3.9K]

The chart shows a production possibilities schedule for Sabrina’s Soccer.

Combination: Soccer balls: Soccer nets:

A 10 0

B 8 1

C 6 2

D 4 3

E 2 4

F 0 5

Which statement correctly explains the chart?

A. The opportunity cost of producing one soccer net is eight soccer balls.

B. The opportunity cost of producing two soccer nets is two soccer balls.

C. The opportunity cost of producing two soccer balls is one soccer net.

D. The opportunity cost of producing four soccer balls is three soccer nets.

The opportunity cost of producing two soccer balls is one soccer net.

Answer: Option 3

<u>Explanation:</u>

Opportunity cost is when a particular option is chosen from the alternatives given, the opportunity cost is the cost incurred by not enjoying the benefit associated with the best alternative choice.

The problem of the opportunity cost occurs because the resources given in the economy are limited in availability and there fore because of that there has to be some choices that are to be made among the alternatives given in the economy.

In this example it shows that for producing two soccer balls, the opportunity cost is one soccer net.

7 0
4 years ago
Read 2 more answers
Y=-×+1 and y=2×+4 how many solutions when graphed
dedylja [7]

Answer:

One solution (-1,2)

Step-by-step explanation:

Since these two linear equations have different slopes, different y-intercepts, and are indeed linear, these equations will only have one crossing when graphed, and hence one solution.

To find that solution, we can simply set the equations equal to each other.

y = -x + 1

y = 2x + 4

-x + 1 = 2x + 4

-3 = 3x

-1 = x

Now plug that value back into one of the equations:

y = -x + 1

y = -(-1) + 1

y = 2

So now you know the crossing for these two equations occurs at (-1,2).

Cheers.

3 0
3 years ago
Help please? 10 points. Correctly
Romashka [77]

From the Figure :

Point A is (-3 , -3)

Point B is (6 , 6)

We know that, The Mid Point of Two Points (x₁ , y₁) and (x₂ , y₂) is given by :

\mathsf{\implies [(\frac{x_1 + x_2}{2})\;,\;(\frac{y_1 + y_2}{2})]}

\mathsf{\implies Midpoint\;of\;Line\;AB\;is\;[(\frac{-3 + 6}{2})\;,\;(\frac{-3 + 6}{2})]}

\mathsf{\implies Midpoint\;of\;Line\;AB\;is\;[(\frac{3}{2})\;,\;(\frac{3}{2})]}

\mathsf{\implies Midpoint\;of\;Line\;AB\;is\;(1.5,1.5)}

4 0
3 years ago
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