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alina1380 [7]
3 years ago
11

What is the next fraction in this sequence? Simplify your answer. 5/6, 2/3, 1/2, 1/3, ...

Mathematics
2 answers:
natali 33 [55]3 years ago
7 0

Answer:

The fifth sequence is 1/6

Lerok [7]3 years ago
6 0

Answer:

it could be anything under 1/3

Step-by-step explanation:

so 1/5, 1/4, 1/6 ... etc

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Part A: Show all work to solve the quadratic equation x2 − 12x + 35 = 0 by factoring. (2 points)
MrRissso [65]

Answer:

  A) x = {5, 7}

  B) The solutions make the equation true.

Step-by-step explanation:

<u>Part A</u>:

To solve this by factoring, you need to find factors of 35 that have a sum of -12. Since 35 is the product of two primes, the search is a short one.

  35 = (-1)(-35) = (-5)(-7)

The corresponding sums are -36 and -12, so the latter factor pair is the one we want. Since the coefficient of x^2 is 1, we can use these numbers directly in the binomial factors:

  x^2 -12x +35 = (x -5)(x -7) = 0

The zero product rule tells us this product is zero only when one of the factors is zero:

  x -5 = 0   ⇒   x = 5

  x -7 = 0   ⇒   x = 7

The two solutions are x=5 and x=7.

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<u>Part B</u>:

The solutions from part A are the x-intercepts of the graph of the quadratic expression. They are the values of x that make the quadratic expression be zero. That is, they are the values of x that make the equation true.

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4 years ago
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Write the equation of the line, in point-slope form. Identify the point, Use the box provided or the upload option to submit all
Vlada [557]
Point slope: y - y1 = m(x - x1), m is the slope

first picture

points (-4,-1) and (3,-3)
the slope between these points is

slope = (-3 - 1)/( 3 - (-4) ) = -2/7

if (x1, y1) = (-4, -1), then the slope-point form is

y + 1 = -2/7(x + 4)

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second picture (horizontal line)

from the graph, the slope is 0 because there is no rise for a horizontal line.
if (x1, y1) = (-2, 1), then the point slope form is

y - 1 = 0(x + 2)

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third picture

from the graph, we have points (-2,2) and (2,-2) on the line. the slope is

slope = (-2 - 2)/(2 - (-2) ) = -1

if (x1, y1) = (-2,2), then point slope form is

y - 2 = -1(x + 2)

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fourth picture

if points (-2,-1) and (2,1) are on the graph, then slope is

slope = (1 - (-1) ) / (2 - (-2) ) = 1/2

with (x1, y1) = (-2,-1), the point slope form is

y + 1 = 1/2(x + 2)

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fifth picture

we have points (-1,-2) and (1,2). the slope is

slope = (2 - (-2) ) / (1 - (-1) ) = 2

with (x1, y1) = (1,2), the point slope form is

y - 2 = 2(x - 1)
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zavuch27 [327]
Question #1 = <span>the amount of snow that falls each hour
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4. yes, HL
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