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3 years ago

Which of the graphed systems share the same solution set?

Mathematics

2 answers:

Darya [45]3 years ago

4 0

Answer:

The correct option is 1.

Step-by-step explanation:

In figure 1, both the lines are coincident. It means all the points lie on the line are solutions of the system.

It means the system has many solutions and the systems share the same solution set.

In figure 2, both the line are parallel and two parallel lines never intersect each other. If the system of equations represent two parallel line, then the system of equal has no solution.

Therefore the second system represent no solution.

In figure 3, both the line intersect each other at one point. It means the system of equations has no solution.

Therefore the third system represent one solution.

Therefore the correct option is 1.

TEA [102]3 years ago

3 0

It is the graph where the two lines intersect, when they intersect there is a point where they connect, and that is your answer

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True or false: two points with the same x-coordinate are always on the same vertical line

Vesna [10]

True, you can even test it out yourself. If the domain (x) is the same then it will be a vertical line. Like if you graphed (1,2) (1,4), (1,6) it will be a vertical line on your graph. I hope this helps!

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2 years ago

A tuxedo rental service charges a $150 flat fee for a suit plus $50 per additional day. Write and solve an equation to determine

V125BC [204]

Answer:

150+50*4=350

Step-by-step explanation:

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2 years ago

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A marine aquarium has a small tank and a large tank, each containing only red and blue fish. In each tank, the ratio of red fish

Anna007 [38]

Answer:

Ratio of blue fish in the small tank to the red fish in large tank is 10 : 6279

Step-by-step explanation:

Let the number of red fish and blue fish in the large tank are x and y respectively.

Similarly ratio of red fish and blue fish in the small tank are x' and y' respectively.

Since in each tank ratio of the red fish to blue fish is 333 : 444

That means x : y = 333 : 444

Or $\frac{x}{y}=\frac{333}{444}$

⇒ $\frac{x}{y}=\frac{3}{4}$

⇒ y = $\frac{4x}{3}$ --------(1)

Similarly x' : y' = 333 : 444

⇒ $\frac{x'}{y'}=\frac{333}{444}$

⇒ $\frac{x'}{y'}=\frac{3}{4}$

⇒ x' = $\frac{3y'}{4}$ ------(2)

Ratio of the fish in large tank to the fish in small tank is 464646 : 555

So (x + y) : (x' + y') = 464646 : 555

$\frac{x+y}{x'+y'}=\frac{464646}{555}$

Now we replace the values of x and y' from equation (1) and equation (2)

$\frac{(x+\frac{4x}{3})}{(\frac{3y'}{4}+y')}=\frac{464646}{555}$

$\frac{\frac{7x}{3}}{\frac{7y'}{4}}=\frac{464646}{555}$

$\frac{4}{3}\times \frac{x}{y'}=\frac{464646}{555}$

$\frac{x}{y'}=\frac{3}{4}\times \frac{464646}{555}$

$\frac{x}{y'}=\frac{232323}{370}$

$\frac{y'}{x}=\frac{370}{232323}$

$\frac{y'}{x}=\frac{10}{6279}$

Therefore, ratio of blue fish in the small tank to the red fish in large tank is 10 : 6279

4 0

3 years ago

Need help with the second one

BaLLatris [955]

Answer:

B for both

Step-by-step explanation:

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8 0

1 year ago

Lawrence decided to test the balance of his favorite six-sided die. To do so, over the course of a month, he wrote down the tota

Dennis_Churaev [7]

Answer:

C. 19.23%

Step-by-step explanation:

We simply have to sum up all the times he had a six then divide that by all the times he rolled the die.

Total times he got 6: 5 + 3 + 11 + 11 = 30

Total times he rolled the die: 39 + 21 + 55 + 41 = 156

The experimental probability is then 30 / 156 = 19.23%

It's a bit higher than expected (1/6 or 16.66%), but the sampling is relatively small. If he were to throw it a thousand times, he'd probably be much close to the theoretical probability.

6 0

3 years ago

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