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
777dan777 [17]
3 years ago
7

Multiply (x-1)(x³+4x²+4x-1) and combine like terms. Explain how you reached your answer.

Mathematics
1 answer:
Hitman42 [59]3 years ago
5 0

Answer:

x⁴+3x³ -5x +1

Step-by-step explanation:

To multiply this we are going to <u>multiply each term of the binomial by each term of the polynomial.</u>

(x-1)(x^{3}+4x^{2}  +4x-1)\\=x^4+4x^3+4x^2-x -x^3-4x^2-4x+1

Now we are going to <u>combine like terms (this means we are going to sum up terms with the same exponent)</u>

x^4+4x^3+4x^2-x -x^3-4x^2-4x+1 = x^4 +(4x^3-x^3)+(4x^2-4x^2)+(-x-4x)+1\\=x^4+3x^3-5x+1

Thus, the answer is x⁴+3x³ -5x +1

You might be interested in
Write an equation of the line whose is 3 and which passes through the point (1,6)
finlep [7]
#Algebrastruggles lol

The answer is y= 3x + 3
3 0
4 years ago
4(x-2+y)<br> Not good at this ...
Dmitry [639]
It has to be 4x+4y-8 hope it right
6 0
3 years ago
Read 2 more answers
A wall shaped like a trapezoid needs to be painted. the height of the wall is 16 feet and the bases are 20 feet and 24 feet. if
AURORKA [14]
Area of Trapezoid = h(b1+b2/2)
 b1 and b2 are the lengths of each base and h is the height.

Area = 16(20+24/2)=352 Square Feet 

352/20=17.6 Cans of paint.

Hope this helps and is correct, I haven't done this kind of math in a while. 

4 0
3 years ago
Prove that T is one to one if and only if T carries linearly independent subsets of V onto linearly independent subsets of W.
balu736 [363]

Answer with Step-by-step explanation:

Suppose T is one-one

Let S be a linearly independent subset of V

We want to show that T(S) is linearly independent.

Suppose T(S) is linearly dependent.

Then there exist v_1,v_2,...v_n\in S and some not all zero scalars a_1,a_2,....a_n such that

a_1T(v_1)+a_2T(v_2)+a_3T(v_3)+...+a_nT(v_n)=0

T is linear therefore,

T(a_1v_1+a_2v_2+..+a_nv_n)=0

T is one-one therefore

N(T)=0

a_v_1+....+a_nv_n=0

S is linearly independent therefore,

a_1=a_2=...a_n=0

It is contradiction.Hence, T(S) is linearly independent.

Conversely, Suppose that T carries linearly independent subset of V onto linearly independent subsets of W.

Assume that T(x)=0 if the set x is linearly independent

Then, by assumption we conclude that  {0} is  linearly independent but {0} is linearly dependent.

It is contradiction .Hence, the set {x} is linearly dependent which implies that x=0

It means N(T)={0}.Therefore, T is one- one

4 0
3 years ago
H=7+44t-16^2
zalisa [80]

Answer:

When t=2.1753 & t=.5746 , h=27

Don't worry, I got you. Also, my calculator does too.

We set h equal to 27, because we want the height to be 27 when we solve for t.

That leaves us with:

27 = 7 + 44t - 16t^2

Simplify like terms,

20 = 44t - 16t^2

Move 20 onto the right side, so we can use quadratic equation

44t - 16t^2 - 20 = 0 --> -16t^2 + 44t - 20

Using quadratic, you get

t=2.1753 & t=.5746

<u>poster confirmed : "It’s t=2.18 and t=0.57"</u>

3 0
3 years ago
Other questions:
  • Please help me quick ASAP WITH ALL THE QUESTIONS
    13·1 answer
  • How to write 3 turnovers : 12assists as a fraction in simplest form
    11·1 answer
  • HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    8·2 answers
  • Help please!<br> Did I answer this correctly?
    7·1 answer
  • Rebeca spent $32.55 for a photo album and three identical candles. The photo album cost $17.50 and the sales tax was $1.55. How
    9·1 answer
  • Help me out please and thank you
    8·1 answer
  • Krystal purchases a total of $120. If a 4% sales tax is added on, how much will her total purchase cost?    ​
    14·2 answers
  • Simplify fully 4x^2+4x/2x^2-2
    11·1 answer
  • If i=sqr-1, what is the value of i^3? <br> -1 <br> i <br> 1<br> -i
    15·1 answer
  • Enter the trigonometric equation you would use to solve for x. Do not solve the equation.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!