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
Pavlova-9 [17]
2 years ago
9

HELP WITH MATH PLS!!!!!

Mathematics
1 answer:
d1i1m1o1n [39]2 years ago
3 0

The difference of 32 · x² / (x² + 8 · x + 15) - 14 · x² / (x² - 9) is equal to [18 · x³ - 166 · x²] / [(x + 3) · (x + 5) · (x - 3)]. (Correct choice: B)

<h3>What is the result of the subtraction between two algebraic rational functions?</h3>

In this question we have a subtraction between two <em>rational</em> functions, which have to be simplified by <em>algebra</em> properties. The complete procedure is presented below:

32 · x² / (x² + 8 · x + 15) - 14 · x² / (x² - 9)        Given

32 · x² / [(x + 3) · (x + 5)] - 14 · x² / [(x + 3) · (x - 3)]         Factorization

[x² / (x + 3)] · [32 / (x + 5) - 14 / (x - 3)]      Distributive and associative properties

[x² / (x + 3)] · [32 · (x - 3) - 14 · (x + 5)] / [(x + 5) · (x - 3)]      Subtraction of rational numbers with distinct denominators

[x² / (x + 3)] · [32 · x - 96 - 14 · x - 70] / [(x + 5) · (x - 3)]     Distributive property / (- 1) · a = - a

[x² / (x + 3)] · (18 · x - 166) / [(x + 5) · (x - 3)]      Distributive property / Definitions of addition and subtraction

[18 · x³ - 166 · x²] / [(x + 3) · (x + 5) · (x - 3)]         Mutiplication between rational numbers / Multiplication between powers / Distributive property

The difference of 32 · x² / (x² + 8 · x + 15) - 14 · x² / (x² - 9) is equal to [18 · x³ - 166 · x²] / [(x + 3) · (x + 5) · (x - 3)]. (Correct choice: B)

To learn more on rational functions: brainly.com/question/27914791

#SPJ1

You might be interested in
please help me A portion of Taquan's check register is shown. Before Taquan made his utility payment on March 24, the balance of
Natalka [10]

The check register is used to show the total amount Taquan spent

Using the assumed values, Taquan's initial balance is $1336.26

<h3>How to determine the amount before making the utility payment?</h3>

The question is incomplete, as the check register is not shown.

So, I will give a general explanation

Assume that the utility bill is $241.46

From the question, the new balance on March 24 is $1094.80

This means that the initial balance is:

Initial balance = New balance + Utility bill

This gives

Initial balance = $1094.80 + $241.46

Evaluate the sum

Initial balance = $1336.26

Using the assumed values, Taquan's initial balance is $1336.26

Read more about check register at:

brainly.com/question/2881570

5 0
2 years ago
If f(x)=3x-1 and g(x)= x+2 find (f-g)(x)
NemiM [27]

Answer:

\boxed{2x-3}

Step-by-step explanation:

f(x)=3x-1\\ g(x)= x+2

(f-g)(x)\\f(x)-g(x)

(3x-1)-(x+2)\\ 3x-1-x-2\\2x-3

6 0
3 years ago
Simplify
Diano4ka-milaya [45]

Answer:

\huge\boxed{\sqrt[4]{16a^{-12}}=2a^{-3}=\dfrac{2}{a^3}}

Step-by-step explanation:

16=2^4\\\\a^{-12}=a^{(-3)(4)}=\left(a^{-3}\right)^4\qquad\text{used}\ (a^n)^m=a^{nm}\\\\\sqrt[4]{16a^{-12}}=\bigg(16a^{-12}\bigg)^\frac{1}{4}\qquad\text{used}\ a^\frac{1}{n}=\sqrt[n]{a}\\\\=\bigg(2^4(a^{-3})^4\bigg)^\frac{1}{4}\qquad\text{use}\ (ab)^n=a^nb^n\\\\=\bigg(2^4\bigg)^\frac{1}{4}\bigg[(a^{-3})^4\bigg]^\frac{1}{4}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\=2^{(4)(\frac{1}{4})}(a^{-3})^{(4)(\frac{1}{4})}=2^1(a^{-3})^1=2a^{-3}\qquad\text{use}\ a^{-n}=\dfrac{1}{a^n}

=2\left(\dfrac{1}{a^3}\right)=\dfrac{2}{a^3}

5 0
3 years ago
What’s 7% tax on a 252$ TV please help
mezya [45]

Answer:

$17.64

Step-by-step explanation:

7% of $252

=7/100 × 252

=0.07 × 252

=$17.64

4 0
3 years ago
I need help with 10 11 and 12 PLEASEEEEE
Anit [1.1K]

Answer:

Angle 6 is 42 degrees

Angle Q is 56 degrees

Angle is 74 degrees

Let me know if this helps :)

4 0
3 years ago
Other questions:
  • The speed of a stream is 4km/h. A boat travels 6 km upstream in the time it takes to travel 12 km downstream. What is the speed
    12·1 answer
  • Given x less than y, compare the following expressions and determine which is greater: 2x-y;2y-x. Explain your answer
    12·1 answer
  • Please Help!!!!!!! No stupid answers
    5·2 answers
  • Turner has 6 pounds of pasta. Each time he makes dinner he uses 0.75 pound
    12·1 answer
  • Work out 2 x (8 + 52)
    11·2 answers
  • The list of all factors for 21 is 1, 3, 7, and 21.<br><br> True or False<br> plz i need help
    8·2 answers
  • CAN YALL HELP ME WITH THESE 3 QUESTIONS PLZ FOR 20 points
    12·1 answer
  • Which transformations preserve segment length?
    9·1 answer
  • Select the graph that does not represent two quantities in a proportional relationship.
    7·1 answer
  • What type of triangle is shown here?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!