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
____ [38]
3 years ago
15

Express the quotient in simplest form. x^2 - 4/ x^3 + 7x^2 divided by x^3 - x^2 - 6x/x^2 + 4x - 21

Mathematics
1 answer:
amm18123 years ago
8 0

You must first transform into a multiplication and then factor to see what you can eliminate.

Explanation:

To transform a fractional division into a multiplication, you have to inverse the numerator and the denominator of the second fraction.

<span><span><span><span>x2</span>−4</span><span><span>x3</span>+7<span>x2</span></span></span>×<span><span><span>x2</span>+4x−21</span><span><span>x3</span>−<span>x2</span>−6x</span></span></span>

<span><span><span><span>(x+2)</span><span>(x−2)</span></span><span><span>x2</span><span>(x+7)</span></span></span>×<span><span><span>(x+7)</span><span>(x−3)</span></span><span>x<span>(x−3)</span><span>(x+2)</span></span></span></span>

Since <span><span>aa</span>=1,a=</span> all real numbers, we can proceed by eliminating factors that appear in the numerator and the denominator.

We are left with <span><span><span>x−2/</span><span>x^3</span></span></span>

You might be interested in
A car rental costs $32 as a base fee, plus $28 per day. Use the explicit rule f (n )= 28n + 32
alexdok [17]

Answer:

The charges paid for the first four days are:

  • <u>$144</u>.

Step-by-step explanation:

To obtain the charges paid for the first 4 days, you must use the given explicit rule given:

  • f (n) = 28n + 32

Where:

  • <em>n = Number of days the person rents the car.</em>

As we need to obtain the charges to 4 days, we replace this value in the explicit rule:

  • f (n) = 28n + 32
  • f (4) = 28(4) + 32
  • f (4) = 112 + 32
  • <u>f (4) = 144</u>

With these calculations, <u>you can identify the charges paid for the first 4 days are $144</u>, <em>where $112 is the money by each day of the four days and $32 is the base fee</em>.

3 0
3 years ago
1 and 2 are a linear pair, and 2 and 3 are vertical angles. m 2=(5+4 y) and m 3=(6 y-25). what is m 1
poizon [28]
Vertical angles are equal to each other:
        ∠2     =    ∠3
     5 + 4y = 6y - 25
 →      30 = 2y
→       15 = y

∠2 = 5 + 4y = 5 + 4(15) = 5 + 60 = 65

linear pairs equal 180:
     ∠1 + ∠2 = 180
→ ∠1 + 65 = 180
→      ∠1    = 115

5 0
3 years ago
3 Express the following fractions in a different way:<br>(a) 1/4 = ? (b) 2/4 = ? (C) 1/2 = ?​
lawyer [7]

Answer:

Step-by-step explanation:

A. 1.4. B. 2.4. C. 1.2

8 0
4 years ago
What is 3 divided by 1/3?
Vlada [557]

Answer:

It will be 9

hope this helps

4 0
3 years ago
Read 2 more answers
5x-11=3x+5 solve for ”x”
I am Lyosha [343]

Answer:

x = 8

Step-by-step explanation:

Step 1: Write equation

5x - 11 = 3x + 5

Step 2: Solve for <em>x</em>

<u>Subtract 3x on both sides:</u> 2x - 11 = 5

<u>Add 11 to both sides:</u> 2x = 16

<u>Divide both sides by 2:</u> x = 8

Step 3: Check

<em>Plug in x to verify it is a solution.</em>

5(8) - 11 = 3(8) + 5

40 - 11 = 24 + 5

29 = 29

4 0
3 years ago
Other questions:
  • What is the value of x?
    13·2 answers
  • Beatriz purchases a sweater that cost $24.99 and seles tax8%. What is the total cost?
    12·2 answers
  • Derek found a function that approximately models the population of iguanas in a reptile garden, where x represents the number of
    9·1 answer
  • "A corn refining company produces corn gluten cattle feed at a variable cost of $82, per ton. If fixed costs are $120,000 per mo
    11·1 answer
  • Jeanne babysits for $6 per hour she also works as a reading tutor for $10 per hour she is only allowed to work 20 hours per week
    13·1 answer
  • Solve the following equation algebraically:
    13·1 answer
  • Based on your understanding of sound waves,
    7·1 answer
  • Divide 345609875by 13​
    11·1 answer
  • Whats the volume of the cone?<br> use the fórmula V=1/3πr^2h.
    12·1 answer
  • PLEASE HELP <br> f(x) = x2. What is g(x)?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!