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Nutka1998 [239]
3 years ago
8

If

\frac{b}{7}" alt="\frac{a}{4} = \frac{b}{7}" align="absmiddle" class="latex-formula"> what is the value of \frac{a-b}{b}
Mathematics
1 answer:
tamaranim1 [39]3 years ago
6 0

Answer:

Step-by-step explanation:

\frac{a}{4}=\frac{b}{7}\\a=\frac{4b}{7} \\\frac{a-b}{b} =\frac{\frac{4b}{7}-b }{b} \\=\frac{4b-7b}{7b}\\ =\frac{-3b}{7b}\\ =\frac{-3}{7}

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Step-by-step explanation:

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Find the line y=a+bx which best approximates the data points
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Answer:

y = 11.84x - 32.71

Step-by-step explanation:

Here, the given data points,

(−3,−70),(−1,−42),(1,−21),(2,−9),(4,14),

Let x represents the input value and y represents the output value,

So, the table that represents the given situation is,

x         -3            -1             1             2             4

y       -70          -42         -21         -9             14

By the above table,

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Let the equation of the line is,

y = bx + a

Where,

a=\frac{\sum y \sum x^2 - \sum x\sum xy}{n(\sum x^2)-(sum x)^2}

b=\frac{n\sum xy - \sum x \sumy}{n(\sum x^2)-(\sum x)^2}

n = number of data points = 5,

By substituting the values we get,

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b = 11.84246575 ≈ 11.84,

Hence, the equation of line would be,

y = 11.84x - 32.71

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