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
lutik1710 [3]
3 years ago
7

What are the coordinates of the hole in the rational function? f(x)=x2+8x−9x2−1

Mathematics
1 answer:
Amanda [17]3 years ago
4 0
The numerator factored is (x+9)(x-1)
The denominator factored is (x+1)(x-1)
The x coordinate for the hole comes from the like factor (x - 1).
Set it equal to zero.   x - 1 = 0  so x = 1
Plug the x value into the remaining fraction \frac{x+9}{x+1}
\frac{1+9}{1+1} = \frac{10}{2} =5
The answer is (1,5)
You might be interested in
Melanie joined her school's band. She bought a violin for $85.54, and a song book which was $12.92 with a $100 bill. How much ch
murzikaleks [220]

85.54+12.92 =98.46

100-98.46 =1.54

She gets $1.54 in change

4 0
3 years ago
In P2, find the change-of-coordinates matrix from the basis B = {1 − 3t 2 , 2 + t − 5t 2 , 1 + 2t} to the standard basis of P2.
Serjik [45]

Complete Question:

In P2, find the change-of-coordinates matrix from the basis B = {1 − 3t² , 2+t− 5t² , 1 + 2t} to the standard basis C = {1, t, t²}. Then, write t² as a linear combination of the polynomials in B.

Answer:

The change of coordinate matrix is :

M = \left[\begin{array}{ccc}1&2&1\\0&1&2\\-3&-5&0\end{array}\right]

U = t² = 3 [1 − 3t²] - 2 [2+t− 5t²] + [1 + 2t]

Step-by-step explanation:

Let U =  {D, E, F} be any vector with respect to Basis B

U = D [1 − 3t²] + E [2+t− 5t²] + F[1 + 2t]..............(*)

U = [D+2E+F]+ t[E+2F] + t²[-3D-5E]...................(**)

In Matrix form;

\left[\begin{array}{ccc}1&2&1\\0&1&2\\-3&-5&0\end{array}\right] \left[\begin{array}{ccc}D\\E\\F\end{array}\right] = \left[\begin{array}{ccc}D+2E+F\\E+2F\\-3D-5E\end{array}\right]

The change of coordinate matrix is therefore,

M = \left[\begin{array}{ccc}1&2&1\\0&1&2\\-3&-5&0\end{array}\right]

To find D, E, F in (**) such that U = t²

D + 2E + F = 0.................(1)

E + 2F = 0.........................(2)

-3D -5E = 1........................(3)

Substituting eqn (2) into eqn (1 )

D=3F...................................(4)

Substituting equations (2) and (4) into eqn (3)

-9F+10F=1

F = 1

Put the value of F into equations (2) and (4)

E = -2(1) = -2

D = 3(1) = 3

Substituting the values of D, E, and F into (*)

U = t² = 3 [1 − 3t²] - 2 [2+t− 5t²] + [1 + 2t]

3 0
3 years ago
Simplify:-6+{14+2[60-9(1+3)]}
yuradex [85]
1 + 3 = 4;
9 x 4 = 36;
60 - 36 = 24;
2 x 24 = 48;
14 + 48 = 62;
-6 + 62 = 56.
5 0
3 years ago
Read 2 more answers
How do i solve this???
Leni [432]

This will help u and hope its right .

6 0
3 years ago
Which of the following numbers is not an integer? A -32 B 80 C 5.81 D 0 O<br>​
larisa [96]

5.81

option C

hope it helps...!!!

3 0
2 years ago
Read 2 more answers
Other questions:
  • Matt is trying to sell 60 cookies and brownies for 2.50 for brownies and 2.00 for cookies and needs a totlal of $100
    11·2 answers
  • A cyclist is riding a bicycle whose wheels have a diameter of feet. Suppose the wheels turn at a rate of revolutions per minute.
    5·1 answer
  • How do you figure probability
    14·1 answer
  • What is the common ratio in this geometric sequence? 3,12,48
    11·1 answer
  • Pls answer this asap
    11·1 answer
  • Jill has 64 ounces of lemonade. Each day, her brother drinks 16 ounces. Then at the end of each day Jill adds 25% of the remaini
    15·2 answers
  • Someone lost their wedding ring and found it 16 years later on a carrot in her garden
    6·2 answers
  •  Kiba and Akamura went out to eat. Their bill was $ 59.76. If Kiba leaves a 7% tip and 8% tax, how much did he pay in total?
    11·1 answer
  • Find the slope of the line that passes through (4, 1) and (6,4).
    13·1 answer
  • Given − 13 x − 23 ≥ 7x + 3,, which property is used below? 3 (−13 x − 23) ≥ 3(7x + 3)
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!