All categories

3 years ago

Using the equation Y= 2/3x - 5 describe how to create a system of linear equations with an infinite number of solutions.

2 answers:

7 0

To have an infinite number of solutions, the equations must graph the same line. That means the equations must be equivalent. To form an equivalent equation, use the properties of equality to rewrite the given equation in a different form. Add, subtract, multiply, or divide both sides of the equation by the same amount.

just olya [345]3 years ago

3 0

If you think about this equation as a line, then in order to have an infinite number of solutions is to have another equation that describes the same line.

So, for example 3y=2x-15 would be one of those.

You might be interested in

Hey can you please help me posted picture of question

Dmitry_Shevchenko [17]

Answer:
The solutions are:
$\frac{3 + i}{2}$ and $\frac{3 - i}{2}$

Explanation:
The general form of the quadratic equation is:
ax² + bx + c = 0
The given equation is:
2x² - 6x + 5 = 0

By comparison:
a = 2
b = -6
c = 5

Now, to get the solutions of the equation, we will have to use the quadratic formula shown in the attached image.

By substituting in the formula, we would find that:
either x = $\frac{6 + \sqrt{(-6)^2 - 4(2)(5)} }{2(2)} = \frac{3 + i}{2}$

or x = $\frac{6 - \sqrt{(-6)^2 - 4(2)(5)} }{2(2)} = \frac{3 - i}{2}$

Hope this helps :)

4 0

3 years ago

Which binomial is a factor of49x^2+84xy+36y^2

Alex17521 [72]

Answer:

(7 x + 6 y)^2

Step-by-step explanation:

Factor the following:

49 x^2 + 84 x y + 36 y^2

The coefficient of x^2 is 49 and the coefficient of y^2 is 36. The product of 49 and 36 is 1764. The factors of 1764 which sum to 84 are 42 and 42. So 49 x^2 + 84 x y + 36 y^2 = 49 x^2 + 42 x y + 42 x y + 36 y^2 = 7 x (7 x + 6 y) + 6 y (7 x + 6 y):

7 x (7 x + 6 y) + 6 y (7 x + 6 y)

Factor 7 x + 6 y from 7 x (7 x + 6 y) + 6 y (7 x + 6 y):

(7 x + 6 y) (7 x + 6 y)

(7 x + 6 y) (7 x + 6 y) = (7 x + 6 y)^2:

Answer: (7 x + 6 y)^2

3 0

3 years ago

F(x)=-5x-4x^-3 Please Help!

andreyandreev [35.5K]

Answer:

-:3"5'6:7;8\4-4-4-4✓

4 0

3 years ago

Briana bought a lot of snacks from Dollar General last night for $193.84, not including tax. If the tax rate was 9%, how much di

lina2011 [118]

Answer:

17.4456 Pretty sure they want you to round up not sure

Step-by-step explanation:

I like to divide by 100 the get the rate for 1% and then multiply by the actual number in your case 9 you can use a calculator for this to make it easy and you can get it pretty simple this usually works for all percent's if you have multiple like 9.74 use the lowest percent .04 that way you can use it to find the rest I hope this helps :) lmk if you want me to explain more

7 0

3 years ago

The Gotemba walking trail up Mount Fuji is about 9 kilometres (km) long. Walkers need to return from the 18 km walk by 8 pm. Tos

worty [1.4K]

Answer:

He must start his journey by 11 AM

Step-by-step explanation:

Speed of Toshi while walking up the mountains is 1.5 kilometres per hour

Speed of Toshi while walking down the mountains = 2 * Speed of Toshi while walking up the mountains = 3 kilometres per hour

Time taken to travel 9 Km in the upward direction by Toshi = 9 Km/1.5 kilometres per hour = 6 hours

Time taken to travel 9 Km in the downward direction by Toshi = 9 Km/3 kilometres per hour = 3 hours

He will take total 6 hours + 3 hours = 9 hours to travel 18 Km distance

Thus, He must start his journey by 11 AM

3 0

3 years ago