2 years ago

How many intersections are there of the graphs of the equations below? 1/2x + 5y = 6 3x + 30y = 36

1 answer:

7 0

The number of intersections of the graphs of the equations is the number of solutions of the system.

The system is:

(1/2)x + 5y = 6

3x + 30y = 36

If you multiply the first equation times 6 you get to:

6(x/2) + 6(5y) = 6(6)

=> 3x + 30y = 36

And that is the same second equation, that means that the system is indetermined.

Being the two equations the same, the two graphs are superposed.

So there are infinite intersections.

You might be interested in

Rickey has 7 over 8 cup of cereal in a bowl. He then gave two 1 over 4 cups of cereal from his bowl to his little sister. Which

NeX [460]

Answer:

5/8 cup left

Step-by-step explanation:

7/8 - 1/4

1/4=2/8

7/8-2/8

5/8

5 0

2 years ago

1/3x + 4 = 10 what is x

nydimaria [60]

Answer:

X = -13/10

Step-by-step explanation:

5 0

2 years ago

$668 at 9.25% for 5 years

madreJ [45]

Answer:

$21.17

Step-by-step explanation:

Simple Interest=P(1+r)^t

Compounded Interest=P(e^rt)

SI=668*(1.0925)^5

SI=1039.64

CI=668(e^(0.0925*5))

CI=1060.81

1060.81-1039.64=21.17

So the difference is $21.17, thus doing compounded interest is better.

8 0

2 years ago

12. 4(2x - 8) = 3(2 – 3x)<br> Need help to solve it in steps

Reil [10]

8x - 32 = 6 - 9x
17x = 38
x = 38/17

4 0

3 years ago

The asking price on a house was $350,000. Because it was on the marked for six months it was finally sold for $297,500. What per

tia_tia [17]

Simply do 297500/350000 and you would get 85%

5 0

2 years ago