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Varvara68 [4.7K]
3 years ago
14

Write the​ slope-intercept equation of the function f whose graph satisifies the given conditions.

Mathematics
2 answers:
sergejj [24]3 years ago
6 0
3x-7y-14 = 0

7y = 3x-14

y = (3/7)x - 2

slope of perpendicular line = -1/(3/7) = -7/3

so function f which is perpendicular and has same y-intercept is

y = (-7/3)x - 2

viva [34]3 years ago
3 0

The general form for a straight line is y = mx + c where m is slope and c is y-intercept.

Two lines are perpendicular when the product of their slopes = -1

Given line 3x - 7y - 14 = 0, its slope = 3/7 and y-intercept = -14/7 = -2

So a line perpendicular to the given and has the same y-intercept is

y = (-7/3) x - 2


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what is the common ratio for the geometric sequence below, written as a fraction? 768, 480, 300, 187.5, …
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Let

a1=768\\a2=480\\a3=300\\a4=187.5

Step 1

Find \frac{a2}{a1}

\frac{a2}{a1} =\frac{480}{768}

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\frac{480}{768} =\frac{\frac{480}{96}}{\frac{768}{96}} \\   \\ \frac{480}{768}=\frac{5}{8}

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Step 2

Find \frac{a3}{a2}

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Divide by 60 numerator and denominator

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Step 3

Find \frac{a4}{a3}

a4=187.5 \\ a4=187\frac{1}{2} \\ \\ a4=\frac{375}{2}

\frac{a4}{a3} =\frac{\frac{375}{2}}{300}  \\ \\  \frac{a4}{a3} =\frac{375}{600}

Divide by 75 numerator and denominator

\frac{375}{600} =\frac{\frac{375}{75}}{\frac{600}{75}} \\   \\ \frac{375}{600}=\frac{5}{8}

a4=a3*\frac{5}{8}

In this problem

The geometric sequence formula is equal to

a(n+1)=a(n)*\frac{5}{8}\\

For n\geq 1

therefore

the answer is

the common ratio for the geometric sequence above is \frac{5}{8}



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