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
alex41 [277]
2 years ago
8

Hi Help me with question 6b) pls

Mathematics
1 answer:
Romashka-Z-Leto [24]2 years ago
5 0

Answer:

k = 9

Step-by-step explanation:

Consider the pattern on the right side , that is

T_{k} = k(k + 2) + 1 = k² + 2k + 1

Equating

k² + 2k + 1 = 100 ( subtract 100 from both sides )

k² + 2k - 99 = 0 ← in standard form

(k + 11)(k - 9) = 0 ← in factored form

Equate each factor to zero and solve for k

k + 11 = 0 ⇒ k = - 11

k - 9 = 0 ⇒ k = 9

But k > 0 , then k = 9

You might be interested in
Dean put together first boxes for 5 of his neighbors. Each box cost $1.00 and contained a plant and a $3.00 pair of gardening gl
Scorpion4ik [409]
(5 Neighbors) x (($1.00 Box) + (? Plant) + ($3.00 Gloves)) = 42.50

5 x (1 + x + 3) = 42.50

Combine in parens.

5 x (4 + x) = 42.50

Distribute.

20 + 5x = 42.50

Subtract 20 from both sides.

5x = 22.50

Divide both sides by 5.

x = 4.50

Thats the cost of each plant.

Check.

5 x (1 + 4.50 + 3)

5 x 8.50 = 42.50
3 0
3 years ago
Please help me with number 1 please help ???
stira [4]

Answer:

mean: 26

median: 28

mode: 28

range:19

Step-by-step explanation:

hipe this helped hun

3 0
2 years ago
The original price of a barbecue grill is $79.50 the girl is markdown 15% what is the sale price of the grill
riadik2000 [5.3K]
The sale or discounted Price: $67.57
hope this helps!!
6 0
3 years ago
Solve the system of linear equations.
Ronch [10]

Answer:

there is no solution, meaning the lines would be parallel

Step-by-step explanation:

i hope this helps :)

4 0
3 years ago
The ages of three siblings Jason John and Jackson totals 21 years. Jason is one year older than John. Jackson is three times as
Ymorist [56]

Answer:Jason is 5 years old.

John is 4 years old.

Jackson is 12 years old.

Step-by-step explanation:

Let x represent the age of Jason.

Let y represent the age of John.

Let z represent the age of Jackson.

The ages of three siblings Jason John and Jackson totals 21 years. It means that

x + y + z = 21 - - - - - - - - - - -1

Jason is one year older than John. It means that

x = y + 1

Jackson is three times as old as John. It means that

z = 3y

Substituting x = y + 1 and z = 3y into equation 1, it becomes

y + 1 + y + 3y = 21

5y = 21 - 1 = 20

y = 20/5 = 4

x = y + 1 = 4 + 1

x = 5

z = 3y = 3 × 4

z = 12

6 0
3 years ago
Other questions:
  • How do I find the value of X for the equation (3x+1)+(4x-5)=8x-9
    7·1 answer
  • given the value points (0, 25), (5, 20), (12, 13), (9, 16) and (21, 4), find the value of the correlation coefficient for the da
    13·1 answer
  • For the case of 5-item order, how many different ways are there to place an order? For Each case, list the number of wheels that
    12·1 answer
  • If you have 30$ and you need to find 8%, and add to 30$ then find 15% of that, and what’s your total?
    8·1 answer
  • Express as a trinomial.<br> (3x+5)(2x+9)
    9·2 answers
  • This is a pre calculus question that I need help with, serious answer PLEASE and thank you! Will give brainliest.
    12·1 answer
  • Solve (x - 2 &lt; 5) ∩ (x + 7 &gt; 6)
    12·1 answer
  • Do not give me any links or files.
    6·1 answer
  • Hey can someone plz help me with this??? *cute eyes*
    7·1 answer
  • Given the endpoints of a segment, find the length of each segment.<br>A (-3, 7) and B (-5, 2)​
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!