1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Dafna1 [17]
3 years ago
14

Given the first three terms of a linear sequence: 3x – 2;x+9; 2x + 5 Determine the value of x.​

Mathematics
2 answers:
Yuliya22 [10]3 years ago
5 0

Answer:

x = 5

Step-by-step explanation:

The difference between consecutive terms will be equal , then

a₂ - a₁ = a₃ - a₂ , that is

x + 9 - (3x - 2) = 2x + 5 - (x + 9) ← distribute parenthesis on both sides

x + 9 - 3x + 2 = 2x + 5 - x - 9 , simplify both sides

- 2x + 11 = x - 4 ( subtract x from both sides )

- 3x + 11 = - 4 ( subtract 11 from both sides )

- 3x = - 15 ( divide both sides by - 3 )

x = 5

AveGali [126]3 years ago
5 0

Answer:

x = 5

Step-by-step explanation:

Each new term is 1 greater than the previous term.  Therefore:

x + 9 = (3x - 2) + 1                   Equivalent to x + 9 = 3x - 2 + 1, or:

                                                                       9 + 2 - 1 = 2x, or 2x = 10

                                                Thus, x = 5

Check by substituting 5 for x as indicated:

3x - 2 becomes 13 (which means the next term must be 14)

x + 9 becomes 14, and

2x + 5 becomes 15

and these consecutive sequence terms are {13, 14, 15}

You might be interested in
Walmart is selling 24 bars Gatorade for $8.44 what is the price per bottle​
Eva8 [605]

Answer:

About $0.35 per bottle.

Step-by-step explanation:

8.44 / 24 = .3516

3 0
3 years ago
Read 2 more answers
In 1911, the temperature in Rapid City,
Sliva [168]

The 3.1 °F/min rate of change of the temperature and 15 minutes change duration gives the change in temperature as 46.5 °F

<h3>How can the change in temperature be found from the rate of change?</h3>

The rate at which the temperature changed = 3.1 °F/min

The duration of the change in temperature = 15 minutes

The relationship between the change in temperature, the rate of change in temperature and the time can be presented as follows;

3.1  ^{\circ} F/min =  \frac{ \delta T }{\delta t}  =  \frac{ \Delta T }{ \Delta t}

Where;

∆T = The required change in temperature

∆t = The duration of the change = 15 minutes

Which gives;

∆T = 3.1°F/min × 15 minutes = 46.5 °F

  • The change in temperature, ∆T = 46.5 °F

Learn more about the rate of change of a variable here:

brainly.com/question/10208814

#SPJ1

8 0
1 year ago
There are 12 boys and 8 girls in a class.
Serga [27]

Answer:12:10

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Which is a true statement?
Murljashka [212]
C. is the answer cuz if u do a number line and organize it and put the numbers in there places the right side is the biggest the ones in the left towards the negative is the lowest

HOPE THIS HELPS:)

7 0
3 years ago
Help please . . . .
Travka [436]

Answer:

Your answer is A.

Step-by-step explanation:

Looking at the graphing two-equation: y = x^3 -3 and y = x^2+6 are up there, it can help us determine the limit of domain.

The dot is the x<=2 for equation y=x^3-3.

The circle is x>2 for equation y=x^2+6

3 0
2 years ago
Other questions:
  • Camp Timberlake has 320 campers in its first summer session. The oldest 112 campers sleep in tents and the rest sleep in cabins.
    15·1 answer
  • Using the linear equation 4x–3y=12, express:
    6·1 answer
  • Martin used some apples to make muffins. Omar used some apples to make applesauce. Omar used 5 fewer than half as many apple as
    13·2 answers
  • Categorize the graph as linear increasing, linear decreasing, exponential growth, or exponential decay m
    12·2 answers
  • A farmer's market sells ear of sweet corn. At this same rate, how much will it cost to buy 28 ears of sweet corn?​
    8·1 answer
  • This is one question. Algebra 2 transformations
    8·2 answers
  • I need help with this problem please!
    13·1 answer
  • Work out the size of angle x
    7·1 answer
  • Elena paints the back of a aquarium it has a height of 1 3/4 feet the painted area is 5 5/6 what is the length
    6·1 answer
  • Solve x/7 = -125 please help?
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!