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3 years ago

What is the explicit rule for the sequence? −3, 0,3,6,9,... Enter your answer in the box.

Mathematics

1 answer:

PtichkaEL [24]3 years ago

3 0

Answer:

aₙ = 3n - 6

Step-by-step explanation:

Given sequence:

−3, 0,3,6,9,...

This is AP with:

The first tern a₁ = - 3
Common difference d = 3

The rule for the nth term of the sequence is:

aₙ = a₁ + (n - 1)d

Substitute values:

aₙ = -3 + (n - 1)(3) =
-3 + 3n - 3 =
3n - 6

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A tire company paid $4,992 for 64 tires. Which is the most reasonable estimate for the cost of each tire?

4vir4ik [10]

$78 for each tire
4,992 divided by 64 is 78

7 0

2 years ago

Elevation is a measure of height in relation to sea level. The highest feature on Earth is Mount Everest with an elevation +29,0

Sphinxa [80]

Answer:

$Sea\ Level = 0\ ft$

The farthest point is the Challenger Deep

Step-by-step explanation:

Given

$Highest = +29029ft$

$Least = -35,797ft$

Solving (a): The sea level

Both elevations had signs in front of them.

The sea level is the point at the neutral level, neither positive nor negative.

Hence:

$Sea\ Level = 0\ ft$

Solving (b): Farthest Point.

The farthest point is the one with the highest magnitude.

Comparing

$Highest = +29029ft$ to $Least = -35,797ft$

-35,797 ft has the highest magnitude.

Hence:

The farthest point is the Challenger Deep

5 0

3 years ago

Brianna's family spent $134 on 2 adult tickets and 3 youth tickets at an amusement park. Max's family spent $146 on 3 adults tic

Firdavs [7]

The price of 1 youth ticket is $ 22

Solution:

Let "y" be the price of 1 youth ticket

Let "a" be the price of 1 adult ticket

To find: price of 1 youth ticket

Brianna's family spent $134 on 2 adult tickets and 3 youth tickets at an amusement park

So we can frame a equation as:

2 adult tickets x price of 1 adult ticket + 3 youth tickets x price of 1 youth ticket = 134

$2 \times a + 3 \times y = 134$

2a + 3y = 134 ---- eqn 1

Max's family spent $146 on 3 adults tickets and 2 youth tickets

So we can frame a equation as:

3 adult tickets x price of 1 adult ticket + 2 youth tickets x price of 1 youth ticket = 146

$3 \times a + 2 \times y = 146$

3a + 2y = 146 ----- eqn 2

Let us solve eqn 1 and eqn 2 to find values of "y"

Multiply eqn 1 by 3

6a + 9y = 402 ---- eqn 3

Multiply eqn 2 by 2

6a + 4y = 292 ----- eqn 4

Subtract eqn 4 from eqn 3

6a + 9y = 402

6a + 4y = 292

( - ) -------------------

5y = 110

y = 22

Thus the price of 1 youth ticket is $ 22

3 0

2 years ago

2/3 b + 5 =20 - b solve for b

Wittaler [7]

Answer:

$b = 9$

Step-by-step explanation:

$\frac{2}{3} b + 5 = 20 - b$

In order to solve for b, we must isolate the variable. We can start by subtracting 5 from both sides.

$\frac{2}{3} b + 5 - 5 = 20 - b - 5$

Simplify.

$\frac{2}{3} b = 15 - b$

Add b to both sides.

$\frac{2}{3} b + b = 15 - b + b$

Simplify.

$\frac{2}{3} b + b = 15$

Multiply everything by 3 to remove the fractions.

$3(\frac{2}{3}b+b) = 3(15)$

Simplify.

2b + 3b = 45

Simplify.

5b = 45

Divide 5 from both sides.

5b ÷ 5 = 45 ÷ 5

Simplify.

b = 9

For more information on solving variables, check out the following answers!

4 0

1 year ago

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What is the midpoint of the segment shown below?

AlexFokin [52]

Answer:

Step-by-step explanation:

The length of the segment is 7

2-7/2 = -3/2

(1,-3/2)

6 0

3 years ago

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