All categories

4 years ago

.

Mathematics

2 answers:

Eva8 [605]4 years ago

8 0

Answer:

Infinite solutions

Step-by-step explanation:

Given is a system of equations.

-3x+y=10

-6x+2y=20

Equation I when multiplied by 2, gives as

-6x+2y =20 which is the same as equation 2 given.

This gives the two lines are not intersecting nor parallel. But the two lines are coincident with each other.

Hence each point on the line is solution.

Infinite solutions.

Let us try to solve and verify this

BY substitutition we have y = 3x+10, substitute in II

-6x+2(3x+10) =20

Or -6x+6x+20=20

20=20 Thus for any x, this becomes true.

Hence infinite solutions.

irinina [24]4 years ago

5 0

Answer:

The correct answer is infinite solutions

Step-by-step explanation:

It is given that,

-3x+y=10 -----(1)

-6x+2y=20 -------(2)

eq (1) x 2 ⇒ -6x+2y=20 ----(3)

from this we get eq(2) and eq(3) are same.

Therefore these two equation have infinite solution.

To find the solution using substitution

-3x+y=10 -----(1)

y = 3x +10

Substitute the value of y in eq(2)

-6x+2y=20 -------(2)

-6x +2(3x +10) = 20

-6x + 6x + 20 = 20

20 = 20

You might be interested in

Find the balance after each transaction for problems 8–14. The beginning balance is $752.00?

hram777 [196]

Answer:

8: $732.03

9: $629.52

10: $1281.52

11: $731.52

12: $653.52

13: $1090.52

14: $851.52

Step-by-step explanation:

The Amount of Trans shows us that we subtract those numbers from the balance and the Amount of Deposit shows us that we add those numbers to the balance.

3 0

3 years ago

Plz help thx! a) y+1=x b) –2y–4=–3x

const2013 [10]

Ax+by=c
x=2 y=1 2+1=3
2x+y=3.

5 0

3 years ago

The state highway department is studying traffic patterns on one of the busiest highways in the state. As part of the study, the

larisa86 [58]

Answer:

The need to sample 76 days.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.99}{2} = 0.005$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.005 = 0.995$ , so $z = 2.575$

Now, find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

How many days do they need to sample

We need to sample n days.

n is found when M = 300.

We have that $\sigma = 1010$

$M = z*\frac{\sigma}{\sqrt{n}}$

$300 = 2.575*\frac{1010}{\sqrt{n}}$

$300\sqrt{n} = 2.575*1010$

$\sqrt{n} = \frac{2.575*1010}{300}$

$(\sqrt{n})^{2} = (\frac{2.575*1010}{300})^{2}$

$n = 75.1$

Rounding up

The need to sample 76 days.

3 0

3 years ago

Factor 144x2+312x+169,

Flura [38]

Answer:

Number 6 is b

Step-by-step explanation:

4 0

3 years ago

A 1-mile hiking path has sings placed every 240 feet. There are sings placed at the beginning and end of the mile. How many sing

vesna_86 [32]

There are 22 signs.
Because:
5,280 divided by 240 equals 22

7 0

3 years ago