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inna [77]
3 years ago
11

Find the 25th term of the sequence -1, 2, 5, 8​

Mathematics
1 answer:
Scilla [17]3 years ago
8 0

Answer:

71

Step-by-step explanation:

This is an arithmetic sequence with n th term

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here d = 2 - (- 1) = 5 - 2 = 8 - 5 = 3 and a₁ = - 1, so

a_{25} = - 1 + (24 × 3) = - 1 + 72 = 71

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If h(x) = f(x) - g(x) = 2x, at what x-value will f(x) = g(x) + 20?
Olegator [25]

Answer:

B

Step-by-step explanation:

This is a neat question

f(x) - g(x) = 2x           Add g(x) to both sides

f(x) = g(x) + 2x

Now you need the right hand side to have 20 added to g(x).

2x must = 20

2x = 20                    Divide by 2

x = 20/2

x = 10

So the answer must be x = 10

8 0
2 years ago
Which is the best interpretation of the solution set for the compound inequality?
andriy [413]

Answer:

  all real numbers

Step-by-step explanation:

Here is the solution to the first inequality:

  3(2x +1) > 21 . . . . . . given

  6x +3 > 21 . . . . . . . . eliminate parentheses

  6x > 18 . . . . . . . . . . .subtract 3

  x > 3 . . . . . . . . . . . . divide by 6

This is all numbers to the right of 3 on the number line.

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The solution to the second inequality is ...

  4x +3 < 3x + 7 . . . . given

  x < 4 . . . . . . . . . . . . subtract 3x+3

This is all numbers to the left of 4 on the number line.

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The conjunction in the system of inequalities is "or", so we are looking for values of x that will satisfy at least one of the conditions. <em>Any value of x</em> will satisfy one or the other or both of these inequalities. The solution is all real numbers.

7 0
3 years ago
What amount of money must Kurt Blixen invest at 4.75% to have it earn $10,000 in 90 days?
Westkost [7]

Answer:

He have to invest $527.777778 .

Step-by-step explanation:

X : 4.75% = $10,000 : 90

6 0
2 years ago
Alanna is painting a border along the top of a wall. the border consists of kite-shaped figures as shown. 3 kites are connected
Dmitrij [34]

If each kite measures 6 inches across and 12 inches long. The square inches of the wall will be:  864 square inches.

<h3> Square inches of the wal</h3>

Diagonals= d1 and d2

First step

Area =(1/2)×(d1×d2)

Area=(1/2)×(6×12)

Area =36 in²

Second step

1 feet = 12 inches

12 feet =  12×12

12 feet = 144 in

Third step

Number of square inches=(144/6)×36

Number of square inches=24×36

Number of square inches= 864 square inches

Therefore the square inches of the wall will be: 864 square inches.

Learn more about  square inches here:brainly.com/question/9895399

6 0
2 years ago
Read 2 more answers
(Grade6math) Can somebody plz answer these questions correct in simplify form.. cuz idk how to answer it like that..still learni
babunello [35]

Answer:

1. 1, 2. -15, 3. -18, 4. -1, 5. -11. 6. 22

Step-by-step explanation:

REMEMBER: If a positive multiplies a negative, it will result in a negative. If a negative multiplies a negative, it will resolve as a positive

1. 7 - 2 x 3 = 1

First, multiply 2 and 3 to get 6

7 - 6

Subtract the numbers to get 1

2. -8 + 14 / (-2) = -15

First, do 14 divided by -2 to get -7

-8 + -7

Add the two numbers to get -15

3. -6 + (-3) x 4 = -18

First, multiply -3 and 4 to get -12

-6 + -12

Add the two numbers together to get -18

4. 48 / (-12) +3 = -1

Divide 48 and -12 to get -4

-4 + 3

Add the two numbers to get -1

5. 16 / (-2) -3 = -11

Divide 16 by -2 to get -8

-8 - 3 = -8 + (-3)

Add the two numbers together to get -11

6. -11 x 4 / (-2) = 22

Work the problem from left to right, start with -11 x 4 to get -44

-44 / -2

Divide the equation to get 22

6 0
3 years ago
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