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
KonstantinChe [14]
3 years ago
15

We can use the right outside diagonal of the empty Lacsap's triangle as the coefficients of a polynomial: $$t^3 + 6t^2 + 12t + 8

.$$ If we replace every $t$ with $t-1,$ we get $$(t-1)^3 + 6(t-1)^2 + 12(t-1) + 8.$$Expand and simplify this polynomial. Enter the polynomial as your answer.
Mathematics
1 answer:
Vanyuwa [196]3 years ago
7 0
The given equation with t -1 is:
(t – 1)^3 + 6 (t – 1)^2 + 12 (t – 1) + 8

Expand each term before combining for easier visualization:
(t – 1)^3 = t^3 – 3 t^2 + 3t – 1
6 (t – 1)^2 = 6 t^2 – 12 t + 6
12 (t – 1) = 12 t - 12

Then substitute and combine:
-> t^3 – 3 t^2 + 3t – 1 + 6 t^2 – 12 t + 6 + 12 t – 12 + 8

t^3 + 3 t^2 + 3 t + 1 (ANSWER)
You might be interested in
The value of a professional basketball player's autograph rose 30% in the last year. It is now worth $273.00. What was it worth
serg [7]
$210
because if it rose 30%, it's now 130% of what is used to be
or (what it used to be) ×1.3
so do the reverse and divide the new cost by 1.3
so 273÷1.3 which is 210
8 0
3 years ago
Read 2 more answers
Calculate the distance she covers (use feet as your unit of measurement for the final answer) as she grabs her loot on the islan
Leokris [45]

she went to 5 diffrent places sooooo yuh and this makes absolutly no sense

7 0
2 years ago
Please find the answer !
algol13

Answer:

ring volume is 12cm3

Step-by-step explanation:

Lr ccm=volume of water and ring - Volume of water

ring cubic centimeters =x

x=9.2cm*4.5cm*7cm - 8.8cm*4.5cm*7cm

x=289.2cm3 - 277.2cm3

x=12cm3

4 0
3 years ago
Five-sixths of a number is 45.<br> Find the number.
tia_tia [17]

Answer: The number is 54!!!

Hope it helps!!!



Step-by-step explanation:

Let's call the number x.

So, 5/6 (of or multiplication) = 45

5x = 45* 6

x = 270/5

x = 54

4 0
2 years ago
Read 2 more answers
Determine which graph represents a reflection across the x-axis of f(x) = 3(1.5).
Ghella [55]

Step-by-step explanation:

fill in the missing fraction parts

4 0
1 year ago
Other questions:
  • On his way out to meet a friend for lunch, David realized that his financial record was not up to date. He notices that he forgo
    8·1 answer
  • If the population of a town grew 21% up to 15,049. What is the population last year?
    7·1 answer
  • Subtract (17+4.5m+8k) - (7.5m-9+4K)
    12·2 answers
  • Chris brought one gallon of punch to school. How many cups of punch could he serve?
    14·2 answers
  • Which number line shows the solution set for |m| = 4
    12·1 answer
  • A high definition radio station charges $200 per year in addition to $50 per month for the first 3 months to recieve its broadca
    12·2 answers
  • Question is: Andre solved an equation, but when he checked his answer he saw his solution was incorrect. He knows he made a mist
    5·2 answers
  • If the simple interest on ​$1,000 for 5 years is ​$300​, then what is the interest​ rate?
    9·1 answer
  • ✓15<br> Is this rational or irrational
    7·2 answers
  • (4x – 3) + (–x + 5) =
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!