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
Misha Larkins [42]
3 years ago
7

Write the following function in standard form. Show your work. y=(x-5)(x+5)(2x-1)

Mathematics
1 answer:
Gnesinka [82]3 years ago
4 0

Answer:

\boxed{y=4x^3-x^2-50x+25}


Step-by-step explanation:

The given function is


y=(x-5)(x+5)(2x-1)


Observe that, the first two factors are from difference of two squares.


\Rightarrow y=(x^2-5^2)(2x-1)


\Rightarrow y=(x^2-25)(2x-1)

We expand the brackets using the distributive property to obtain;

\Rightarrow y=2x^2(2x-1)-25(2x-1)


\Rightarrow y=4x^3-x^2-50x+25


The above function is now in standard form, since the terms are arranged in descending powers of x.



You might be interested in
Paraplatin 360mg/m2 in 150ml normal saline via ice pump. Drug run over 30 minutes. At what rate should the nurse at IV pump
olasank [31]
<span>Drag concentration( 360mg) per body surface (m2) is irrelevant to the infusion rate, which is volume divided by time, i.e. 150/(30/60) = 300ml/h</span>
7 0
3 years ago
Find the values of the variables
chubhunter [2.5K]
Y = 168° [ Because opposite angles are equal ]

x = 5x - 48 [ Because opposite angles are equal ]

4x = 48

x = 12°
5 0
3 years ago
How many ways can you arange the letters in the word cube
Margarita [4]
You could four times because there are four letters in the word cube, so there are only four possible ways you could spell it.

Hope this helps:)
Plz rate branliest
3 0
3 years ago
Given matrices S and T below, which statement is true?
harina [27]
The matrices are
S =(4 11                           T= ( -8 11
      -3  -8)                                 3  4 )
Inverse of a matrix is a matrix derived from another matrix such that if you pre- multiply it with the original matrix you get a unit matrix.
if we multiply S and T
 ST will be 
        ( 4 11    ×      (-8 11   = ( 1 0
          -3 -8)           -3 -4)         0 1)
and also TS
          ( -8 11      ×     (4 11  = ( 1 0
             -3 -4)            -3 -8)       0 1)
therefore, matrices S and T are inverses of each other because ST = TS= I 



.
8 0
3 years ago
Read 2 more answers
Given f(x) = x − 7 and g(x) = x2 Find F(g(4))
Thepotemich [5.8K]

Answer:

g(f): x -> 2(x-7)=2x-14 , g(f)(-1)=2*(-1)-14=-16

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Other questions:
  • At a county fair truck pull, two pickup trucks are attached to the back end of a monster truck as illustrated in the figure. One
    14·2 answers
  • Round 1949.07822364 to the nearest hundred, and please make it the right answer
    15·1 answer
  • Please i need help look at picture
    11·1 answer
  • A plumber charges $50 to make a house call. He also charges $25.00 per hour for labor
    8·1 answer
  • You were billed $28.50 for additional data usage on your cell phone at a rate of $9 per gigabyte. Three choices are correct ways
    11·2 answers
  • Sinead bought 2 shirts for $15.95 each and a pair of shoes for $42.14. If she paid for the items with a $100 bill, how much chan
    10·1 answer
  • Please Help!!!<br><br> What method would allow you find the area of the given triangle?
    8·1 answer
  • WILL MARK BRAINLIEST! please explain your answer too and i will mark brainliest!!! need fast!!!
    10·1 answer
  • Pls help 15x-17+3x-11=180
    7·2 answers
  • Lauren is going to invest in an account paying an interest rate of 3.4% compounded
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!