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amm1812
2 years ago
6

What is the solution to the system of linear equations? y=4x and y-4x=0​

Mathematics
1 answer:
musickatia [10]2 years ago
7 0

Answer:

  y = 4x; there are an infinite number of solutions

Step-by-step explanation:

Both equations describe the same relation between x and y. The system is "dependent", so has an infinite number of solutions. For any value of x, the solution is ...

  (x, y) = (x, 4x)

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up 1 over 7 (1,7) 1 = x and 7 = y

Step-by-step explanation:

0 plus 1 is 1. 1 plus 1 is 2. 2 plus 1 is 3. 3 plus 1 is 4

-6 plus 7 is 1. 1 plus 7 is 8. 8 plus 7 is 15. 15 plus 7 is 22

7 0
2 years ago
Which of the following statements is true?
Vitek1552 [10]

Answer:

B

Step-by-step explanation:

1/9 can be simplified to 1/3 as 1/3 x 1/3 = 1/9  and 49/25 can be simplified to 7/5 as 7/5 x 7/5 = 49/25.

Now looking at both the fraction 1/3 and 7/5

1/3 simplifies to 0.34

It is an irrational value as the 3 keeps repeating.

7/5 simplifies to 1.4

It is a rational value as the decimal value is not repeating.

Thus making the second option the answer.

6 0
2 years ago
How can you help this student make sense of her method? <br> ONLY ANSWER IF YOU KNOW THE ANSWER
Misha Larkins [42]

Answer: Read it to him again, and explain all the steps to him nice and slowly.

4 0
3 years ago
Marco earns $36.50 per hour show that the relationship between the amount he earns and the number of hours he works is proportio
Korolek [52]

To establish this equation we first need to assign some variables.

Let us assign x as the number of hours he has worked

and assign y as the total amount of money that he has earned

Therefore the equation y=36.50x is the equation that correctly represents how much money he makes regardless of how many hours he works.  Just plug in how many hours you want for x and then solve the equation and you will get how much money he makes in x amount of hours.  This is also proportional because for every hour that he works he gets the same salary of 36.50.  It is proportional because no matter how many hours he works the salary will go up the same amount for each extra hour he works.  The proportion is 36.50 dollars per hour worked.

3 0
3 years ago
The center of a hyperbola is located at the origin. One focus is located at (−50, 0) and its associated directrix is represented
leva [86]

The equation of the hyperbola is : \frac{x^{2}}{48^2}  - \frac{y^{2}}{14^2}  = 1

The center of a hyperbola is located at the origin that means at (0, 0) and one of the focus is at (-50, 0)

As both center and the focus are lying on the x-axis, so the hyperbola is a horizontal hyperbola and the standard equation of horizontal hyperbola when center is at origin: \frac{x^{2}}{a^{2}}  - \frac{y^{2}}{b^{2}}    = 1

The distance from center to focus is 'c' and here focus is at (-50,0)

So, c= 50

Now if the distance from center to the directrix line is 'd', then

d= \frac{a^{2}}{c}

Here the directrix line is given as : x= 2304/50

Thus, \frac{a^{2}}{c}  = \frac{2304}{50}

⇒ \frac{a^{2}}{50}  = \frac{2304}{50}

⇒ a² = 2304

⇒ a = √2304 = 48

For hyperbola, b² = c² - a²

⇒ b² = 50² - 48² (By plugging c=50 and a = 48)

⇒ b² = 2500 - 2304

⇒ b² = 196

⇒ b = √196 = 14

So, the equation of the hyperbola is : \frac{x^{2}}{48^2}  - \frac{y^{2}}{14^2}  = 1

5 0
3 years ago
Read 2 more answers
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