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2 years ago

How do I graph x-4y=4 and 3x+y=-1

Mathematics

1 answer:

ololo11 [35]2 years ago

8 0

Answer:

Draw all these points and draw a straight line through all of them.

Step-by-step explanation:

y = mx + b

x - 4y = 4

-x -x

-4y = -x + 4

/-4 /-4

y = $\frac{1}{4}x$ -1

(0,-1),(4,0),(-8,-3),(-4,-2),(8,1) - The first graph attached

3x+y=-1

y = -3x - 1

(0,-1),(-1,2),(-3,8),(2,-7),(3,-10) - The second/last graph attached.

Hope this helps!

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notka56 [123]

Answer:

If $n^2$ is divisible by 3, the n is also divisible by 3.

Step-by-step explanation:

We will prove this with the help of contrapositive that is we prove that if n is not divisible by 3, then, $n^2$ is not divisible by 3.

Let n not be divisible by 3. Then $\frac{n}{3}$ can be written in the form of fraction $\frac{x}{y}$ , where x and y are co-prime to each other or in other words the fraction is in lowest form.

Now, squaring

$\frac{n^2}{9} = \frac{x^2}{y^2}$

Thus,

$n^2 = \frac{9x^2}{y^2}$

$\frac{n^2}{3} = \frac{3x^2}{y^2}$

It can be clearly seen that the fraction $\frac{3x^2}{y^2}$ is in lowest form.

Hence, $n^2$ is not divisible by 3.

Thus, by contrapositivity if $n^2$ is divisible by 3, the n is also divisible by 3.

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4 years ago

John has a rope that is 10 yards long. HoW long is his rope in inches?

jek_recluse [69]

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3 years ago

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For the data set: {1.5, 2.3, 1.7, 3.6, 2.9, 4.2}, identify the percentile for the value 2.9.

antiseptic1488 [7]

Answer:

58.33%.

Step-by-step explanation:

We have been given a data set {1.5, 2.3, 1.7, 3.6, 2.9, 4.2} and we are asked to find the percentile for value 2.9.

First of all let us arrange our data points from smallest to largest as: {1.5, 1.7, 2.3, 2.9, 3.6, 4.2}.

We can see that our data set has 6 data points and 2.9 is 4th data point.

We will use percentile rank formula to solve our problem.

$P=\frac{(100*(i-0.5))}{n}$ , where,

P= Percentile rank,

i= Rank of the data point,

n = Total number of data points.

Upon substituting our given values we will get,

$P=\frac{(100*(4-0.5))}{6}$

$P=\frac{(100*3.5)}{6}$

$P=\frac{350}{6}$

$P=58.333$

Therefore, percentile rank for the value 2.9 is 58.33%.

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Answer:

Step-by-step explanation:

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Naddika [18.5K]

Answer:

Step-by-step explanation:

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2 years ago

How do I graph x-4y=4 and 3x+y=-1​

How do I graph x-4y=4 and 3x+y=-1