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
kherson [118]
3 years ago
15

If x>2, then x^2-a-6 / x^2-4=

Mathematics
1 answer:
nadezda [96]3 years ago
7 0
We know that x > 2 ( or : x ≠ +/- 2 )
We have to factorize the numerator and the denominator:
x² - x - 6 = x² - 3 x + 2 x - 6 = x ( x - 3 ) + 2 ( x - 3 ) = ( x - 3 ) ( x + 2 )
x ² - 4 = ( x - 2 ) ( x + 2 )
\frac{(x-3)(x+2)}{(x-2)(x+2)}= \frac{x-3}{x-2}


You might be interested in
If ƒ(x) varies directly with x and ƒ(x) = 32 when x = -8, then what is ƒ(x) when x = 4?
wlad13 [49]
f(x)=kx\\
32=-8k\\
k=-4\\
f(x)=-4x\\\\
f(4)=-4\cdot4=-16
7 0
3 years ago
Jose, baulus, and George are having a disagreement over interest rates. Jose says that 6 3/4% can be expressed as 6.75%. George
otez555 [7]

Answer:

Jose and George are correct

Baulus is incorrect

Step-by-step explanation:

Given

6\frac{3}{4}%

Required

Compare the above expression with

Jose: 6.75%.

George: 0.0675

Baulus: 0.0675%

<em>The expression </em>6\frac{3}{4}<em>% is given as a mixed fraction;</em>

In Jose's case, he simply converted it to decimal

Converting 6\frac{3}{4}% to decimal;

First, we need to convert to improper fraction

6\frac{3}{4}% in improper fraction is \frac{27}{4}%

Then, we divide the numerator by the denominator

\frac{27}{4}% = 6.75%.

Hence, Jose is correct

In George's case, he solved further by removing the % from Jose's answer.

% means divided by 100; In other words, x% means that we divide x by 100

So, 6.75% means we divide 6.75 by 100

\frac{6.75}{100} = 0.0675

Hence, George is also correct

But same can't be said of Baulus;

Baulus converted 6\frac{3}{4}% as 0.0675%

This means that he converted 6\frac{3}{4} as 0.0675 then he appended it with the percentage sign (%)

Since 6\frac{3}{4} is not equal to 0.0675, then we can conclude that Baulus is incorrect

8 0
4 years ago
What does pandas stand for
Paul [167]
A large bear like mammal
7 0
3 years ago
Read 2 more answers
I'm Timed
Tju [1.3M]
It would be C. Because PEMDAS. Division goes first in this equation. So it’d be 15 divided by 3 plus 6
7 0
3 years ago
Read 2 more answers
The area of a rectangular painting is given by the trinomial x2 + 4x - 21. What are the possible dimensions of the painting? Use
zloy xaker [14]
To find the dimensions you can just factor the equation...

x^2+4x-21

x^2-3x+7x-21

x(x-3)+7(x-3)

(x+7)(x-3) and this is equal to LW or WL

And note that x>3 for any possible solution.

3 0
3 years ago
Read 2 more answers
Other questions:
  • What is the length of the hypotenuse of a right triangle whose legs measure 24 in. and 32 in.
    9·2 answers
  • 2-(3x-4)=2x-9 <br> confused.
    7·2 answers
  • A band sold out 4 of its last 20 shows. What is the experimental probability that the band's
    11·1 answer
  • 5. During the election for class president,
    12·1 answer
  • I don't understand this pls help!!
    14·1 answer
  • The Petersons went on a 300 mile trip. On the first day they drove 3 5/6 hours and on the second day they drove 2 1/3 hours. How
    13·2 answers
  • 5/6 x 2/3 = ? <br><br> yhuwegduweyrguwi90ufiewajerff
    12·2 answers
  • Which set of ordered pairs below is a function?
    10·1 answer
  • What is the maximum number of terms a sixth-degree polynomial function in standard form can have? I have this question and I hav
    11·1 answer
  • 15 days ago, the share of the Valmont family business was worth $156. Over the next 5 days, the stock value increased by $3 per
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!