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
Bogdan [553]
3 years ago
14

Can someone please help me with simplifying division of polys?

Mathematics
1 answer:
mars1129 [50]3 years ago
4 0

Answer:

1. (x - 16)/(x - 8)  

2.  (x + 12)/(x (x - 7))

3. (2 y (y^2 - 6))/(y^2 + 5)

4. (2 x (2 x^2 + 3))/(x^2 - 3)

Step-by-step explanation:

Simplify the following:

(x^2 - 14 x - 32)/(x^2 - 6 x - 16)

The factors of -16 that sum to -6 are 2 and -8. So, x^2 - 6 x - 16 = (x + 2) (x - 8):

(x^2 - 14 x - 32)/((x + 2) (x - 8))

The factors of -32 that sum to -14 are 2 and -16. So, x^2 - 14 x - 32 = (x + 2) (x - 16):

((x + 2) (x - 16))/((x + 2) (x - 8))

((x + 2) (x - 16))/((x + 2) (x - 8)) = (x + 2)/(x + 2)×(x - 16)/(x - 8) = (x - 16)/(x - 8):

Answer:  (x - 16)/(x - 8)

_________________________________________________________

Simplify the following:

(x^2 + 7 x - 60)/(x^3 - 12 x^2 + 35 x)

The factors of -60 that sum to 7 are 12 and -5. So, x^2 + 7 x - 60 = (x + 12) (x - 5):

((x + 12) (x - 5))/(x^3 - 12 x^2 + 35 x)

Factor x out of x^3 - 12 x^2 + 35 x:

((x + 12) (x - 5))/(x (x^2 - 12 x + 35))

The factors of 35 that sum to -12 are -5 and -7. So, x^2 - 12 x + 35 = (x - 5) (x - 7):

((x + 12) (x - 5))/(x (x - 5) (x - 7))

((x + 12) (x - 5))/(x (x - 5) (x - 7)) = (x - 5)/(x - 5)×(x + 12)/(x (x - 7)) = (x + 12)/(x (x - 7)):

Answer:  (x + 12)/(x (x - 7))

______________________________________________________

Simplify the following:

(6 y^3 - 36 y)/(3 y^2 + 15)

Factor 3 out of 3 y^2 + 15:

(6 y^3 - 36 y)/(3 (y^2 + 5))

Factor 6 y out of 6 y^3 - 36 y:

(6 y (y^2 - 6))/(3 (y^2 + 5))

6/3 = (3×2)/3 = 2:

Answer:  (2 y (y^2 - 6))/(y^2 + 5)

________________________________________________________

Simplify the following:

(20 x^4 + 30 x^2)/(5 x^3 - 15 x)

Factor 5 x out of 5 x^3 - 15 x:

(20 x^4 + 30 x^2)/(5 x (x^2 - 3))

Factor 10 x^2 out of 20 x^4 + 30 x^2:

(10 x^2 (2 x^2 + 3))/(5 x (x^2 - 3))

10/5 = (5×2)/5 = 2:

(2 x^2 (2 x^2 + 3))/(x (x^2 - 3))

Combine powers. (2 x^2 (2 x^2 + 3))/(x (x^2 - 3)) = (2 x^(2 - 1) (2 x^2 + 3))/(x^2 - 3):

(2 x^(2 - 1) (2 x^2 + 3))/(x^2 - 3)

2 - 1 = 1:

Answer: (2 x (2 x^2 + 3))/(x^2 - 3)

You might be interested in
03. O preço a ser pago por uma corrida de táxi inclui uma parcela fixa, denominada bandeirada, e uma parcela que depende da dist
uranmaximum [27]

Answer: d) v = 3.20 + 1.50n.

Step-by-step explanation:

Let 'v' be the price to pay in a 'n' kilometer.

Given: The price to be paid for a taxi ride includes a fixed parcel, called a flag, and a parcel that depends on the distance traveled.

Flag costs = $ 3.20 and

Each kilometre run costs = $ 1.50

Then, the amount of 'v' to pay in a 'n' kilometer race = Flag costs +   (n)× (Each kilometre run costs )

⇒ v= 3.20 + 1.50n

Hence, the correct option is  d) v = 3.20 + 1.50n.

7 0
3 years ago
How do I explain to an alien how to graph Graph Y=-2(x+3)^2+1
Kitty [74]

Step-by-step explanation: Explanation:

y

−

2

=

3

(

x

−

1

)

3

x

−

y

=

3

−

2

=

1

x

1

3

+

y

−

1

=

1

is the intercept form of the equation.

Now we know the two points on the line as

(

1

3

,

0

)

,

(

0

,

−

1

)

By plotting the two points on a graph sheet and joining them gives the line required.

graph{3x - 1 [-10, 10, -5, 5]}

Hope this helps!!!

5 0
2 years ago
Algebra <br><br> A) 50+Z=81 <br> Explain.
Ivan

Answer:31


Step-by-step explanation:

You subtract 81 and 50


5 0
2 years ago
Read 2 more answers
PLEASE ANSWER WILL GIVE BRAINLIEST IF CORRECT!!!
Airida [17]

Answer:

x = 118 units

Step-by-step explanation:

tan 50° = x/99

x = 99(tan 50°)

x = 117.9

5 0
2 years ago
Read 2 more answers
Johnathan has 2500 kg of sand delivered to a construction site every day. About how many tons of sand does he have delivered to
sp2606 [1]
C 77.2 tons for four weeks
7 0
2 years ago
Read 2 more answers
Other questions:
  • An arc of a circle is 3πm long, and it subtends an angle of 72° at the center of the circle. Find the radius of the circle.
    14·1 answer
  • Kenya has 2 hours to work a 100 problem math test. At what rate must she work in order to finish in 2 hours?
    14·2 answers
  • I need an equation for segment XY is unequal to segment AC!
    6·1 answer
  • The Andrésvhhhhuhcvc
    12·1 answer
  • Please answer quickly!!!
    9·1 answer
  • A particular math test has eight questions and a perfect paper is worth 100 percentage points. What is the rate of change of the
    10·1 answer
  • Point X has coordinates (-4, -5) and point y has coordinates (--1, --5 ) which expression models the distance between points X a
    7·1 answer
  • Which represents the value of point D on the number line?
    11·1 answer
  • you add 2 numbers between 10 and 100 you also subtract them the add answer is at least 30 more than the subtract answer what are
    8·1 answer
  • 2x+y=-4<br>×+y=-7<br>solve the system by substitution<br>​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!