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
Contact [7]
3 years ago
7

At what points on the graph of f(x)=2x^3-6x^2-27x is the slope of the tangent line -9?

Mathematics
1 answer:
Dmitriy789 [7]3 years ago
4 0

Answer:

(-1, 19) and (3, -81)

Step-by-step explanation:

f(x) = 2x³ − 6x² − 27x

f'(x) = 6x² − 12x − 27

-9 = 6x² − 12x − 27

0 = 6x² − 12x − 18

0 = x² − 2x − 3

0 = (x + 1) (x − 3)

x = -1 or 3

f(-1) = 19

f(3) = -81

The points are (-1, 19) and (3, -81).

You might be interested in
Question is on the picture ​
Alinara [238K]

Answer:

B. 30/65 and experimental

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
F(x)=sqrt x+2; g(x)=sqrt 8x-6. FInd f(g(x))
zhenek [66]

Hello!

This question is an example of composition of functions. It is using range values of some given function as domain values of some other given function to find new range values. Remember that the domain of the composite function will be the same as the domain of the first function.

Given f(g(x)), for f = \sqrt{x+2}, substitute x with g(x) = \sqrt{8x-6}.

Therefore, f(g(x))= \sqrt{\sqrt{8x-6} +2}.

7 0
2 years ago
1. Find the slope of a line that passes through the points (-1,-4) and (5, -1).
Blizzard [7]
The answer is A. 1/2

(-1,-4) are (x1, y1)
(5,-1) are (x2, y2)
So you subtract y2-y1/x2-x1 = -1-(-4)/5-(-1)
-1-(4) = 3
5-(-1) = 6
3/6= 1/2
Slope is 1/2 making A your answer
7 0
3 years ago
What is one of the solutions to the following systems of equations? Y squared plus X squared equals 65 and Y plus X equals seven
alukav5142 [94]

Answer:

Step-by-step explanation:

y^2 + x^2 = 65

y + x = 7......x = 7 - y

y^2 + (7 - y)^2 = 65

y^2 + (7 - y)(7 - y) = 65

y^2 + 49 - 7y - 7y + y^2 = 65

2y^2 - 14y + 49 = 65

2y^2 - 14y + 49 - 65 = 0

2y^2 - 14y - 16 = 0

2(y^2 - 7y - 8) = 0

2(y + 1)(y - 8) = 0

y + 1 = 0        y - 8 = 0

y = -1             y = 8

solution :

y = -1...........y + x = 7.....-1 + x = 7......x = 7 + 1......x = 8........(8,-1)

y = 8........y + x = 7.....8 + x = 7......x = 7 - 8........x = -1........(-1,8)

7 0
3 years ago
The polynomial equation x cubed + x squared = negative 9 x minus 9 has complex roots plus-or-minus 3 i. What is the other root?
Ymorist [56]

Answer:

-1,3i,-3i

Step-by-step explanation:

X^3+x^2=-9x-9

x^3+x^2+9x+9=0

x^2(x+1)+9(x+1)=0 factorize by taking x+1 common factor

(x+1)(x^2+9)=0

x+1=0 then x=-1

(x^2+9)=0 then x=+ 0r - 3i

5 0
3 years ago
Read 2 more answers
Other questions:
  • What is the distance between the points M-1,5)<br>and Z(6,2)?​
    15·1 answer
  • Solve for x <br> -2.3(r - 1.2 ) = -9.66 <br> enter you answer as decimal.
    8·1 answer
  • If a line has a slope of 2 and contains the point (-2, 1) what is the equation in point slope form
    9·1 answer
  • 1)
    10·1 answer
  • What does it mean to say that data have a positive correlation?
    7·1 answer
  • Alicia and Leah are making cookies for a fundraiser.
    6·1 answer
  • In the diagram, which two angles are alternate interior angles with angle 14?
    7·1 answer
  • Algebra 1
    11·1 answer
  • What is the value of the expression
    6·1 answer
  • It costs the company $1,200 to run a flight, empty or full, from its base airport to Airport X. Additionally, each passenger gen
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!