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
Leokris [45]
3 years ago
7

Consider the two functions:

Mathematics
1 answer:
Alik [6]3 years ago
6 0

Answer:

Step-by-step explanation:

1, Find (g-f)(x)

we know (g-f)(x) = g(x) - f(x) = ( 5x -2) -( 2x^2 +3x +6)

= 5x -2 - 2x^2 - 3x - 6

= -2x^2 + 2x -8

So the function (g-f)(x) = - 2x^2 + 2x - 8

2, Find (fg)(x)

we know that (fg)(x) = f(x) * g(x)

= (2x^2 +3x +6 ) *( 5x -2)

= 5x* (2x^2 +3x +6 ) - 2*(2x^2 +3x +6 )

= 10x^3 + 15x^2 +30x -4x^2 -6x - 12

= 10x^3 + 11x^2 + 24x - 12

The answer is (fg)(x)= = 10x^3 + 11x^2 + 24x - 12

You might be interested in
Given right triangle ABC with right angle at C, find sin A if a=8 and b=15​
Svetllana [295]

Answer:

if you are lookng for C it is 17

Step-by-step explanation:

7 0
3 years ago
Pleade help and show work​
Jet001 [13]

9514 1404 393

Answer:

  11) x = 9

  12) x = 9

Step-by-step explanation:

11) Corresponding segments are proportional, so ...

  x/6 = 12/8

  x = 6(12)/8 . . . multiply by 6

  x = 9

__

12) Similar triangle relationships show you the geometric mean relationship that applies in this case.

  long side/short side = x/3 = 27/x

  x² = 3·27 . . . . . . cross multiply

  x = √(3·27) . . . . geometric mean relationship

  x = 9

8 0
2 years ago
Compare the exponential functions f, g, and h which are shown below.
Nostrana [21]
Hello,
Please, see the detailed answer in the attached files.
Thanks.

5 0
3 years ago
_<br>0.6 written as a fraction is ._____ <br><br>O 6/10<br>O 2/3<br>O 1/3​
Virty [35]

6/10

Hope it helps yah (◕ᴗ◕✿)

4 0
2 years ago
Read 2 more answers
What is the solution set for -4 x - 10 ≤ 2?<br> A. x ≤ -3<br> B. x ≥ -3<br> C.x ≤ -3<br> D. x ≥ 2
kramer

Answer:

B. x ≥ -3

Step-by-step explanation:

-4 x - 10 ≤ 2

add ten by both sides

-4x≤12

divide -4 by both sides

x ≤ -3

BUT because you divded  you have to switch the sign so

x ≥ -3

6 0
2 years ago
Read 2 more answers
Other questions:
  • Q is the midpoint of PR R is the midpoint of QS Prove: PR = QS
    13·1 answer
  • The sum of X and 4 is greater than the difference of 2x and 3 find x
    12·1 answer
  • The Kaibab Trail at the Grand Canyon begins at 7,000 feet above sea level. If you descend on the trail 4,500 feet to the Colorad
    5·2 answers
  • I need help with this question
    9·1 answer
  • Liza wants to have more than $750 in her
    5·2 answers
  • Amplitude and Period
    10·1 answer
  • Find the length indicated
    6·1 answer
  • Dont know how to calculate it
    6·1 answer
  • Two parallel lines are cut by a transversal as shown below.
    11·1 answer
  • A music store owner noted that cd sales had dropped 23% from one quarter to the next. if the owner sold 715 units in the first q
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!