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
Sonbull [250]
3 years ago
9

(x2-25)÷(x-5) plz help me ​

Mathematics
1 answer:
saw5 [17]3 years ago
4 0

Answer:

(x + 5)

Step-by-step explanation:

(x² - 25) ÷ (x-5)

=(x² - 5²) ÷ (x-5)

Using the formula a² - b² = (a + b)(a - b) you get

= (x + 5)(x - 5) ÷ (x - 5)

With division you can cut both (x - 5)

So the answer is (x + 5)

You might be interested in
Find the partial fraction decomposition of the rational expression with prime quadratic factors in the denominator
SpyIntel [72]
\dfrac{5x^4-7x^3-12x^2+6x+21}{(x-3)(x^2-2)^2}=\dfrac{a_1}{x-3}+\dfrac{a_2x+a_3}{x^2-2}+\dfrac{a_4x+a_5}{(x^2-2)^2}
\implies 5x^4-7x^3-12x^2+6x+21=a_1(x^2-2)^2+(a_2x+a_3)(x-3)(x^2-2)+(a_4x+a_5)(x-3)

When x=3, you're left with

147=49a_1\implies a_1=\dfrac{147}{49}=3

When x=\sqrt2 or x=-\sqrt2, you're left with

\begin{cases}17-8\sqrt2=(\sqrt2a_4+a_5)(\sqrt2-3)&\text{for }x=\sqrt2\\17+8\sqrt2=(-\sqrt2a_4+a_5)(-\sqrt2-3)\end{cases}\implies\begin{cases}-5+\sqrt2=\sqrt2a_4+a_5\\-5-\sqrt2=-\sqrt2a_4+a_5\end{cases}

Adding the two equations together gives -10=2a_5, or a_5=-5. Subtracting them gives 2\sqrt2=2\sqrt2a_4, a_4=1.

Now, you have

5x^4-7x^3-12x^2+6x+21=3(x^2-2)^2+(a_2x+a_3)(x-3)(x^2-2)+(x-5)(x-3)
5x^4-7x^3-12x^2+6x+21=3x^4-11x^2-8x+27+(a_2x+a_3)(x-3)(x^2-2)
2x^4-7x^3-x^2+14x-6=(a_2x+a_3)(x-3)(x^2-2)

By just examining the leading and lagging (first and last) terms that would be obtained by expanding the right side, and matching these with the terms on the left side, you would see that a_2x^4=2x^4 and a_3(-3)(-2)=6a_3=-6. These alone tell you that you must have a_2=2 and a_3=-1.

So the partial fraction decomposition is

\dfrac3{x-3}+\dfrac{2x-1}{x^2-2}+\dfrac{x-5}{(x^2-2)^2}
7 0
3 years ago
Draw a garden with up to 5 rows and that has the same number of flowers in each row . Then two equation that match your array .
iogann1982 [59]
G>5

g= the number of rows in your garden.
5 0
2 years ago
What are the coordinates of the point in quadrant ll
Sever21 [200]
The answer is 3, -3 so D
3 0
3 years ago
Without using technology, describe the end behavior of f(x) = 3x32 + 8x2 − 22x + 43.
mr Goodwill [35]
F(x) = 3x^32 + 8x^2 -22x +43

The ends of all the polynomials with even degree behave like quadratic functions.

Given the the coefficient of x^32 is positive, the function opens upwards. Then the two ends go up.
8 0
3 years ago
Read 2 more answers
(pages 2-7)
user100 [1]

Answer:

The answer is here

Step-by-step explanation:

https://www.khanacademy.org/test-prep/praxis-math/praxis-math-lessons/gtp--praxis-math--lessons--geometry/a/gtp--praxis-math--article--congruence-and-similarity--lesson

7 0
2 years ago
Other questions:
  • Which of the following statements is false?
    11·2 answers
  • Find cardinality of set B<br><br> B = {∅, {1}, {1, 2}, {1, 2,3}, · · · , {1, 2, · · · , m}}
    9·1 answer
  • John sent 45 text messages in 9 minutes. What is the unit rate? Explain your answer.
    15·1 answer
  • Cos (-Ø)= √3/3 sinØ &lt;0 what is the value of sinØ?
    15·1 answer
  • Which of the following expressions represents the sum of a number and three is divided by two? 2 ÷ x + 3 2 ÷ (x + 3) (x + 3) ÷ 2
    11·2 answers
  • Helppppppppppppppppppppppppp
    5·2 answers
  • Two consecutive whole numbers that square root of 21 lies between
    5·1 answer
  • PLEASE HELP ASAP Jada made 10 cups of blueberry jam and divided the jam equally among 4 containers. How much jam went in each co
    11·1 answer
  • John does not want to spend all of his money at one time so he puts the $150 pair of Nikes on a 3 month payment plan. How much m
    7·1 answer
  • I NEED HELP IMMEDIATELY PLEASE AND THANK YOU!<br> Solve 7−√159−2=−5
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!