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krok68 [10]
3 years ago
14

The first three terms of an arithmetic sequence are x-1, 3x-2 and 5x-3. Which of the following expressions represents the 15th t

erm in the arithmetic sequence
Mathematics
1 answer:
alexandr1967 [171]3 years ago
8 0

Answer:

29x-15

Step-by-step explanation:

fifteenth term=x-1+14(2x-1)

=x-1+28x-14

=29x-15

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A map use the scale 3/4 of an inch to represent 3 miles .if the actual distance between two cities is25 miles ,then what is the
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<em><u>the</u></em><em><u> </u></em><em><u>length</u></em><em><u> </u></em><em><u>of</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>map</u></em>

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<em><u>Based on the given conditions, write: </u></em>

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<em><u>Write as a single fraction:</u></em>

<em><u>x</u></em><em><u>=</u></em><em><u> </u></em><em><u>3 × 25</u></em><em><u>/</u></em><em><u> </u></em><em><u>4</u></em><em><u>/</u></em><em><u> </u></em><em><u>3</u></em>

<em><u>Divide a fraction by multiplying its reciprocal:</u></em>

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<em><u>Write as a single fraction: </u></em>

<em><u>x=</u></em><em><u> </u></em><em><u>3 x 25</u></em><em><u>/</u></em><em><u> </u></em><em><u>4</u></em><em><u> </u></em><em><u>×</u></em><em><u> </u></em><em><u>3</u></em>

<em><u>Reduce fraction to the lowest term by canceling 25 the greatest common factor:</u></em>

<em><u>x</u></em><em><u>=</u></em><em><u> </u></em><em><u>2</u></em><em><u>5</u></em><em><u>/</u></em><em><u>4</u></em>

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(y + 4 / 2y) + (y-2 / 3) = (3y^2 + 10 / 6y) for y<br>{-2, 1}<br>{-2, 3}<br>{}
vaieri [72.5K]

Answer:

{-2, 1}

Step-by-step explanation:

\frac{y+4}{2y} +\frac{y-2}{3} =\frac{3y^2+10}{6y}

Make the fractions have a common denominator.

\frac{3}{3} (\frac{y+4}{2y}) +\frac{x}{y} (\frac{y-2}{3}) =\frac{3y^2+10}{6y}\\\frac{3y+12}{6y} +\frac{2y^2-4y}{6y} =\frac{3y^2+10}{6y}\\\frac{2y^2-y+12}{6y} =\frac{3y^2+10}{6y}

Now that both sides of the equation have a common denominator, you can cancel out the denominators.

2y^2-y+12=3y^2+10

Now, set the equation equal to zero and factor.

2y^2-y+12=3y^2+10\\-y^2-y+2=0\\(-y-2)(y-1)=0\\\\-y-2=0\\y=2\\\\y-1=0\\y=-1

The y-values are {-2, 1}

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Answer:

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Step-by-step explanation:

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Add.
Rudiy27

Answer:

C

Step by step

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Combine like terms

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You are welcome and don't for get to click <u>THANKS</u>

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