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3 years ago

Find the nth term, a n, of the given arithmetic sequence. a^1 = 75, d = –8, n = 11

Mathematics

1 answer:

kap26 [50]3 years ago

4 0

An = a1+d*(n-1)
a11 = 75-8*(11-1) = -5

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(y + 4 / 2y) + (y-2 / 3) = (3y^2 + 10 / 6y) for y {-2, 1} {-2, 3} {}

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}

6 0

2 years ago

I need help please!!

valkas [14]

Answer:

14 hrs of babysitting and 6 hrs of tutoring

3 0

2 years ago

What should the following rate be divided by to convert it to a unit rate? 6 inches 12 hours

iragen [17]

Answer:

0.5 Inches per hour

Step-by-step explanation:

Most normal people won't know exactly what unit rate is, or how to calculate it. So I'm here to help!

This is a fraction equal to

6 inches ÷ 12 hours

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 12

6 inches ÷ 12

12 hours ÷ 12

0.5 inches

1 hour

0.5 inches

hour

= 0.5 inches per hour

Glad I was able to help!

7 0

2 years ago

The distance Max's bike moves is directly proportional to how many rotations his bike's crank shaft has

Gemiola [76]

Answer:

187.5 feet

Step-by-step explanation:

we know that

Max's bike moves 25 feet after two rotations

using proportion

Find out how many feet will the bike move after 15 rotations

Let

x ----> the distance in feet

$\frac{25}{2}\frac{ft}{rev}=\frac{x}{15}\frac{ft}{rev}\\\\x=15(25)/2\\\\x=187.5\ ft$

7 0

2 years ago

Read 2 more answers

Write a recursive formula for An, the n' th term of the sequence 6, 13, 20, ....

aleksklad [387]

An=7n-1 that's the recursive formula

4 0

1 year ago