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maria [59]
3 years ago
13

If x-3 is a factor of x3+4x2+kx-30.Find the value of k.​

Mathematics
1 answer:
Bogdan [553]3 years ago
3 0

Answer:

k=-11

Step-by-step explanation:

x^{3}+4x^{2}+kx-30

if x-3 is a factor,

(3)^{3}+4(3)^{2}+k(3)-30=0\\27+4*9+3k-30=0\\27+36+3k-30=0\\33+3k=0\\3k=-33\\k=-11

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In a purely monopolistic market with a demand curve P = -Q / 10 + 2000, to maximize profit the firm provides the application at
Rudiy27

Answer: hello your question lacks some data hence I will be making an assumption to help resolve the problem within the scope of the question

answer:

≈ 95 units ( output level )

Step-by-step explanation:

Given data :

P = 2000 - Q/10

TC = 2Q^2 + 10Q + 200 ( assumed value )

<u>The output level where a purely monopolistic market will maximize profit</u>

<u>at MR = MC </u>

P = 2000 - Q/10 ------ ( 1 )

PQ = 2000Q - Q^2 / 10 ( aka TR )

MR = d (TR ) / dQ = 2000 - 2Q/10 = 2000 - Q/5

TC = 2Q^2 + 10Q + 200 ---- ( 2 )

MC = d (TC) / dQ = 4Q + 10

equating MR = MC

2000 - Q/5 = 4Q + 10

2000 - 10 = 4Q + Q/5

1990 = 20Q + Q

∴ Q = 1990 / 21 = 94.76 ≈ 95 units ( output level )

7 0
3 years ago
What is the missing length?
TEA [102]
Answer:  13.722 km ;  or, write as:  13  13/18 km .
___________________________________________________
Explanation:
___________________________________________________
Area = Length * width ; 
___________________________________________________
or, write as:  A = L * w ;
________________________

Given: A = 247 km² ; 
           
          L = 18 km ; 
 
          w = "y" ; 
________________________
 Find:  "y"
______________________________
  A = L * w ; 
______________________________
Plug in our values:
______________________________
  247 km² = 18 km * "y" ;  solve for "y" (in units of "km") ;

_____________________________
        18 y = 247 ; 
___________________________________________________________
Divide each side of the equation by "18"; to isolate "y" on one side of the equation; and to solve for "y" :
___________________________________________________________
        18 y / 18 = 247 / 18 ;
_____________________________________________
  to get:
_____________________________________________
              y = 13.7222222222222222...... km ;  round to: 13.722 km

                   or;  y = 13  13/18 km .
_______________________________________________
3 0
3 years ago
Equation 2(4x − 11) = 10.
dedylja [7]
Since you didn't provide instructions, I am going to assune you are being asked to solve for x. To do this, just distribute and simplify.

2(4x-11)=10
Distribute the 2 to the expression (4x-11)
8x-22=10
Add 22 on both sides
8x=32
Divide by 8 on both sides
x=4

~I hope this helps!~
4 0
3 years ago
F(x)=4x4−5x3−2x+6 and g(x)=3x3−4x2−2x+1 . What is f(x)+g(x) ?
igomit [66]
4*4-5*3-2x+6=  -x-7/2  slope = 2

3 * 3 - 4 *2 -2x +1=  - x - 2/2 slope = -2

2 + -2 = 0
6 0
3 years ago
What is a radius? Is it the point in the middle?How do you calculate the circumference using 3.14 pi?
Elina [12.6K]
Half of the distance from one side, through the middle, to the other side. 
circumference: 3.14*radius*2
7 0
3 years ago
Read 2 more answers
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