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3 years ago

What is the common difference for the sequence shown below? coordinate plane showing the points 1, 5; 2, 2; and 3, negative 1?

Mathematics

2 answers:

natima [27]3 years ago

8 0

Answer:

the common difference of the sequence (d) = -3

Step-by-step explanation:

Given sequence is 1st term, 2nd term, 3rd term

= 5, 2, -1

It is an arithmetic sequence.

The common difference (d) = second term - first term

d = 2 - 5

d = -3

Therefore, the common difference of the sequence (d) = -3

Hope this will helpful.

Thank you.

vodka [1.7K]3 years ago

5 0

The correct answer to this problem would be -3. Based on the points you've provided on the graph, -3 would be the correct common difference. :)

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How many solution does this have and how do you solve it

Vadim26 [7]

Answer:

Infinite solutions

Step-by-step explanation:

To determine the number of solutions a system has, you need its slope. If the slopes are the same, check if the equations are equivalent or not.

To find the slope, rearrange the equation to isolate "y", which makes it slope-intercept form y = mx + b.

"x" and "y" represent points on the line.

"m" represents the slope, which is how steep a line is.

"b" represents the y-intercept (where the graph hits the y-axis).

Isolate "y" in both equations:

x + 3y = 0

3y = -x Subtract 'x' from both sides

y = -x/3 Divide both sides by 3.

y = $-\frac{1}{3}x$

The slope is -1/3.

9y = -3x

y = -3x/9 Divide both sides by 9

y = $-\frac{3}{9}x$ Reduce the fraction to lowest terms

y = $-\frac{1}{3}x$

The slope is -1/3, but the two equations are the same.

Since the equations are the same, or equivalent, the two lines are always touching. The solution of a system means where two lines intersect, or meet. Therefore, there are infinite solutions.

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3 years ago

378 minutes = 6 hours 3 minutes True or false How would I figure this out

GrogVix [38]

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2 years ago

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The parent function of a graph is f(x) = x2. The graph shifts a units to the left and down b units. Which function models the tr

Gnesinka [82]

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3 years ago

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Answer the question about the angles below.

kaheart [24]

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180-35=145 degrees
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3 years ago

Write the equation of a line that is perpendicular to y =3x-2 and that passes through the point(-9,5)

Oduvanchick [21]

Answer:

y = -1/3x + 8

Step-by-step explanation:

If two lines are perpendicular, the signs of the slope must be opposite and the slopes are reciprocals.

(basically if one is say -2/3, the other is 3/2. just flip it upside down)

So this slope is 3, so the new slope should be -1/3

The equation is now y = -1/3x + b

To find b, substitute (-9,5) in the equation

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3 years ago

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