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4 years ago

Determining a Number of Solutions

Mathematics

2 answers:

MatroZZZ [7]4 years ago

6 0

Answer:

No Solution

Step-by-step explanation:

For one solution;

it will be consistent and independent ( example, x = 1 and y = 2)

For no solution;

it will be inconsistent and independent ( example, 0 = 2)

For many solution;

it will be consistent and dependent ( example, 1 = 1, 2 = 2, y = y, x = x)

Given;

3x - 2y = 3 -------------- equation (1)

6x - 4y = 1 --------------- equation (2)

6: 18x - 12y = 18 -------------equation (3)

3: 18x - 12y = 3 --------------- equation (4), subtract (4) from (3)

--------------------------------------------

0 - 0 = 15

-----------------------------------------------

0 = 15

The solution is inconsistent and independent, because zero (0) cannot be equal to 15

Thus, the system has no solution

Zina [86]4 years ago

4 0

Answer:

ONE SOLUTION

3x-5y=8; 5x-3y=2

3x+2y=8; 4x+3y=1

NO SOLUTION

3x-4y=2; 6x-8y=1

3x-2y=3; 6x-4y=1

INFINITELY MANY SOLUTIONS

3x-6y=3; 2x-4y=2

Step-by-step explanation:

i got this right on edge

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A triangle has one side that lies along the line y=1/4x and another that lies along the line y=-1/4x. Which of the following poi

mestny [16]

Answer:

We know that our triangle has one side along the line:

y = (1/4)*x

And other side along the line:

y = -(1/4)*x.

Now, we want to find the vertex.

And we know that the vertex is the point where the two sides conect, so the vertex must be a common point of both lines.

Then we have:

y = (1/4)*x = -(1/4)*x

x = -x

The only solution to that equation is x = 0.

now we evaluate our lines in x = 0 and get:

y = (1/4)*0 = 0

y = -(1/4)*0 = 0

Then the lines intersect in the point (0, 0)

Then the vertex must be in the point (0, 0)

4 0

3 years ago

Working Two Jobs. Maggie has a job working in an office for $10 an hour and another job driving a tractor

kicyunya [14]

Answer:

x*$10 + y*$16 = $480

Step-by-step explanation:

The question seems incomplete, and after a search online I've found a lot of similar questions with similar numbers, so I really can not be sure of which one is the complete question.

I suppose that we want to get a linear equation that describes the given situation:

Let's define two variables:

x = number of hours that Maggie works in the office (for $10 each)

y = number of hours that Maggie works driving a tractor (for $16 each).

Then the total amount of money that Maggie gets is:

x*$10 + y*$16

Now we know that she earns $480 per week, then we know that:

x*$10 + y*$16 = $480

This is a linear equation we wanted to get, where (just to be complete) we need to add the restrictions:

x ≥ 0

y ≥ 0

(this means that she can not work a negative number of hours).

5 0

3 years ago

Solve for x..................

Lostsunrise [7]

7x - 9 < 12
7x < 12 + 9
7x < 21
x < 21/7
x < 3

1/4x + 8 > 11
1/4x > 11 - 8
1/4x > 3
x > 3 * 4
x > 12

solution : x < 3 or x > 12

8 0

3 years ago

(10pts) A train left a station at 8:00 am

dolphi86 [110]

Answer:

12:00 i think

Step-by-step explanation:

hope this helps

6 0

3 years ago

A bag contains 7 pieces of paper numbered 1 to 7. P(2)=. Is

pochemuha

Answer:

$P (2) =\frac{1}{7}$ Theoretical probability

Step-by-step explanation:

The theoretical probability is defined as:

$P = \frac{number\ of\ desired\ results}{number\ of\ possible\ results}$

In this case we look for the probability of taking a 2 out of the bag. As there is only one paper with the number 2 in the bag then:

number of desired results = 1

The amount of paper in the bag is equal to 7, so:

number of possible results = 7

Thus:

$P (2) =\frac{1}{7}$

This is a theoretical probability, since we do not need to perform the experiment to calculate the probability.

To calculate the experimental probability we must perform the following experiment:

Take a paper out of the bag, record the number obtained and then return the paper to the bag.

Now repeat this experiment n times. (Perform n trials)

So:

$P (2) = \frac{number\ of\ times\ you\ obtained\ the\ number\ 2}{number\ of\ trials\ performed}$

To calculate a theoretical probability you always need to perform an experiment with n trials.

5 0

3 years ago