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nevsk [136]
3 years ago
12

What is the standard form of the linear function that passes

Mathematics
1 answer:
babunello [35]3 years ago
7 0

standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient

(\stackrel{x_1}{4}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{-2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-2}-\stackrel{y1}{1}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{4}}}\implies \cfrac{-3}{-2}\implies \cfrac{3}{2} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{\cfrac{3}{2}}(x-\stackrel{x_1}{4})

\stackrel{\textit{multiplying both sides by }\stackrel{LCD}{2}}{2(y-1)=2\left( \cfrac{3}{2}(x-4) \right)}\implies 2y-2 = 3(x-4)\implies 2y-2=3x-12 \\\\\\ -3x+2y-2=-12\implies -3x+2y=-10\implies \stackrel{\times -1\textit{ to both sides}}{3x-2y=10}

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2.5.

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2. When you take a taxi, the driver charges an initial fee
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Answer:

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3 years ago
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Hey there!☺

Answer:\boxed{c=5}

Explanation:

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4 0
3 years ago
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A university surveyed recent graduates of the English Department for their starting salaries. Four hundred graduates returned th
AveGali [126]

Answer:

\hat \mu = \bar X = 25000

Step-by-step explanation:

Data given

\bar X = 25000 represent the sample mean obtained

s= 2500 represent the sample deviation obtained

\mu =? represent the true mean (variable of interest)

n=400 represent the sample size selected

Solution to the problem

The best estimator for the true mean \mu is given by the sample mean \bar X, and the reason is: If we assume that in tha random sample X_1,X_2,....,X_{400} each observation follows a normal distribution like this:

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\hat \mu = \bar X = 25000

7 0
3 years ago
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