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
finlep [7]
3 years ago
5

Factorise fully 18e^2f^3-12e^2f

Mathematics
1 answer:
Alexeev081 [22]3 years ago
8 0

Answer:

18e^2f^3-12e^2f = 6e^2f(3f^2-2)

Step-by-step explanation:

Given

18e^2f^3-12e^2f

Required

Factorize:

18e^2f^3-12e^2f

Express 18 as 6 * 3 and 12 as 6 * 2

18e^2f^3-12e^2f = 6*3e^2f^3-6*2e^2f

Factor out 6

18e^2f^3-12e^2f = 6(3e^2f^3-2e^2f)

Factor out e^2

18e^2f^3-12e^2f = 6e^2(3f^3-2f)

Factor out f

18e^2f^3-12e^2f = 6e^2f(3f^2-2)

You might be interested in
If an intravenous solution containing 123 mg of a drug substance in each 250-mL bottle is to be administered at the rate of 200
12345 [234]

Answer:

24.39mL of the solution would be given per hour.

Step-by-step explanation:

This problem can be solved by direct rule of three, in which there are a direct relationship between the measures, which means that the rule of three is a cross multiplication.

The first step to solve this problem is to see how many mg of the solution is administered per hour.

Each minute, 200 ug are administered. 1mg has 1000ug, so

1mg - 1000 ug

xmg - 200 ug

1000x = 200

x = \frac{200}{1000}

x = 0.2mg

In each minute, 0.2 mg are administered. Each hour has 60 minutes. How many mg are administered in 60 minutes?

1 minute - 0.2 mg

60 minutes - x mg

x = 60*0.2

x = 12mg

In an hour, 12 mg of the drug is administered. In 250 mL, there is 123 mg of the drug. How many ml are there in 12 mg of the drug.

123mg - 250mL

12 mg - xmL

123x = 250*12

x = \frac{250*12}{123}

x = 24.39mL

24.39mL of the solution would be given per hour.

7 0
3 years ago
Khan khan khan khan
Ber [7]

Answer:

11

Step-by-step explanation:

it says motor cycles combined with garbage so add both of them then subtract that from the bull dosers

motor =18

garbage=4

18+4=22

bulldosers=11

22-11= 11 more

5 0
3 years ago
Read 2 more answers
What is the equation of the line that passes through the point (6, 4) and has a slope<br> of - ?
Dafna1 [17]
Hey what’s the slope ?
4 0
3 years ago
Twice the sum of a number and 8 is the same aa the difference of 3 and the number. Find the equation that could be used to find
Nezavi [6.7K]

Answer:

f your number is x, then the difference between that number and 8 would be x-8. Twice that is 2(x-8)

 

Three times the sum of the number and 3 would be 3(x+3). So, you get the equation:

 

2(x-8)=3(x+3)

2x-16=3x+9

x=-25

5 0
3 years ago
Josh has been running for 6 min and completes a lap in 7 min. Gabe has been running for 2 min and completes a lap in 9 min.
Amanda [17]
So j completed 6/7 of a lap
gabe has completed 2/9 lap
so
1 j lap=7 mins s o
7j
j=num of laps
1 g lap=9 mins so
9g
g=num of laps
then 6+j
and g+2

so
when will the times be equal
7j+6=9g+2
subtract 2 from both sides
7j+4=9g
divide both sides by 9
7/9j+4/9=g
so to get a whole number of laps, we must subsitute a number when it is multiplied by 7 then add 4, we get a multiplue of 9
so if j=2
7/9(2)+4/9=g=14/9+4/9=g=18/9=g=2
so josh and gabe must run 2 lap each because
6+(2 times 7)=2+(9 times 2)
6+14=2+18
20=20
true so

the answer is 2 laps
3 0
3 years ago
Read 2 more answers
Other questions:
  • a square has a side of 6.25 feet what is the area in square feet round to the correct significant digits
    6·1 answer
  • Anybody please help me with this
    10·2 answers
  • Tom caught 4 fish and his son caught 12 fish. The number of fish that Tom’s caught was what percent of the number of fish his so
    15·1 answer
  • How to solve 5 - 16 tenths
    15·2 answers
  • Tell me correct answer I wrote wrong show work give me correct answer and get 20 points
    11·2 answers
  • Rewrite each equation in vertex form. Then find the vertex <br><br><br> Y=x^2+ 9x + 5
    14·1 answer
  • Luca has 13 more crayons than Sam. If Luca has 42 crayons, how many crayons does Sam have ?
    13·1 answer
  • Okay so- I'm really stuck (help is well appreciated)
    5·2 answers
  • The equation p^2 = 9A represents the perimeter, P, of square with area, A. A square stained - glass window window has an area of
    15·1 answer
  • Which characteristic is necessary to create a table that compares two functions?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!