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2 years ago

Solve the simultaneous equation:2x+3y=13X+2y=9

Mathematics

1 answer:

Neko [114]2 years ago

8 0

Answer:

2x + 3y = 13

4x - y = -2

In the second equation, subtract 4x from both sides.

-y = -2 - 4x

Divide both sides by -1.

y = 2 + 4x

Put this into the first equation in place of y.

2x + 3(2 + 4x) = 13

Multiply everything in the parenthesis by 3.

2x + 6 + 12x = 13

Combine like terms.

14x + 6 = 13

Subtract 6 from both sides.

14x = 7

Divide 14 on both sides.

x = 7 / 14

x = 0.5

Put this into the second equation in place of x.

4(0.5) - y = -2

2 - y = -2

Subtract 2 from both sides.

-y = -4

Divide both sides by -1.

y = 4

So x = 0.5 and y = 4.

Step-by-step explanation:

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Answer:

2(3-x)-12+4x

6-x-12+4x

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14x

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2 years ago

5. A study found that the average time it took a person to find their dream home was 5.9 months. If a sample of

solong [7]

Answer:

The 95% confidence interval of the mean time it took a person to find their dream home is between 5.64 months and 6.16 months.

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:

$\alpha = \frac{1-0.95}{2} = 0.025$

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 $1-0.025 = 0.975$ , so $z = 1.96$

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.

$M = 1.96\frac{0.8}{\sqrt{36}} = 0.26$

The lower end of the interval is the sample mean subtracted by M. So it is 5.9 - 0.26 = 5.64 months

The upper end of the interval is the sample mean added to M. So it is 5.9 + 0.26 = 6.16 months.

The 95% confidence interval of the mean time it took a person to find their dream home is between 5.64 months and 6.16 months.

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3 years ago

I have 3 hundreds,17 tens,13 ones,1 tenths,and 2 hundredths.what number am i?

nexus9112 [7]

3 hundreds equal to 300
17 tens equal to 170
13 ones equal to 13
1 tenths equal to 0.1
2 hundreths equal to .02 when added all together you'll get
483.12 <---- The answer

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3 years ago

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klemol [59]

Answer:

False

Step-by-step explanation:

You Cnat solve it

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2 years ago

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Think about all the ways in which a line and a parabola can intersect select all the numbers of ways in which a line in a parabo

creativ13 [48]

Answer:

0, 1, 2

Step-by-step explanation:

There is a way for them to intersect at 0 points, for example y=x^2 and y = -1

The way to intersect at 1 point is for the linear function to be tangent to the parabola, like y = x^2 and y = 0

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2 years ago

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Solve the simultaneous equation:2x+3y=13X+2y=9​

Solve the simultaneous equation:2x+3y=13X+2y=9