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Alekssandra [29.7K]
3 years ago
9

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:

<u>Given sequence:</u>

  • −3, 0,3,6,9,...

<u>This is AP with:</u>

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

<u>The rule for the nth term of the sequence is:</u>

  • aₙ = a₁ + (n - 1)d

<u>Substitute values:</u>

  • 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:

<em>The farthest point is the Challenger Deep</em>

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

<em><u>Solution:</u></em>

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

<em><u>Brianna's family spent $134 on 2 adult tickets and 3 youth tickets at an amusement park</u></em>

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

<em><u>Max's family spent $146 on 3 adults tickets and 2 youth tickets</u></em>

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

<em><u>Let us solve eqn 1 and eqn 2 to find values of "y"</u></em>

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!

  • brainly.com/question/633344
  • brainly.com/question/1267151
  • brainly.com/question/4207498
4 0
1 year ago
Read 2 more answers
What is the midpoint of the segment shown below?
AlexFokin [52]

Answer:

C

Step-by-step explanation:

The length of the segment is 7

2-7/2 = -3/2

(1,-3/2)

6 0
3 years ago
Read 2 more answers
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