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shusha [124]
3 years ago
10

Graph the line y = kx +1 if it is known that the point M belongs to it: M(1,3)

Mathematics
1 answer:
tigry1 [53]3 years ago
3 0

Answer:

M(x,y) = (1,3) belongs to the line y = 2\cdot x +1. Please see attachment below to know the graph of the line.

Step-by-step explanation:

From Analytical Geometry we know that a line is represented by this formula:

y=k\cdot x + b

Where:

x - Independent variable, dimensionless.

y - Dependent variable, dimensionless.

k - Slope, dimensionless.

b - y-Intercept, dimensionless.

If we know that b = 1, x = 1 and y = 3, then we clear slope and solve the resulting expression:

k = \frac{y-b}{x}

k = \frac{3-1}{1}

k = 2

Then, we conclude that point M(x,y) = (1,3) belongs to the line y = 2\cdot x +1, whose graph is presented below.

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A private opinion poll is conducted for a politician to determine what proportion of the population favors adding more national
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Answer:

n≅376

So sample size is 376.

Step-by-step explanation:

The formula we are going to use is:

n=pq(\frac{z_{\alpha/2}}{E})^{2}

where:

n is the sample size

p is the probability of favor

q is the probability of not in favor

E is the Margin of error

z is the distribution

α=1-0.98=0.02

α/2=0.01

From cumulative standard Normal Distribution

z_{\alpha/2}=2.326

p is taken 0.5 for least biased estimate, q=1-p=0.5

n=0.5*0.5(\frac{2.326}{0.06})^{2}\\n=375.71

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So sample size is 376

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3 years ago
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A box holds three circular flower pots, each with the same diameter. What is the exact area of the base of one pot? Show your wo
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What is an equation of the line that passes through the point (-1,-3) and is parallel to the line 4x-y=2
Natasha_Volkova [10]

Answer:

y=4x+1

Step-by-step explanation:

1. 4x-y=2

  -y=-4x+2   divide both sides by -1

  y=4x-2

2. y-y1=m(x-x1)

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Parallel lines have the same, so the equation we are making should have the slope of 4.

 

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