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NNADVOKAT [17]
3 years ago
6

Find the roots of each of the polynomial equation x^5-6x^4-2x^3+36x^2+x-30=0

Mathematics
1 answer:
ValentinkaMS [17]3 years ago
8 0
I got x= -2, -1,1,3,5
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Helpp the topic is about limits
erik [133]

Since we want to find the value of <em>k</em><em> </em>where the limit exists, set both equations equal to each other. Then substitute <em>x</em> = -1 in for each equation to find <em>k</em><em>.</em>

<em>kx - 3 =  {x}^{2}  + k</em>

1. Set both equations equal.

- k -  3 = 1 + k

2. Substitute <em>x</em><em> </em>= -1.

- 3 = 1 + 2k

3. Solve for <em>k</em><em> </em>by adding <em>k</em><em> </em>to both sides. Continue the process of solving the equation.

- 4 = 2k

k =  - 2

Thus, <em>k</em><em> </em>= -2. Check by graphing the function.

8 0
2 years ago
A swimming pool is 50 meters long,15 meters wide,and 3 meters deep. What is the volume of the pool
steposvetlana [31]

Answer: 2,250m^{3}

Step-by-step explanation:

Volume of the pool is given by : Length X breadth X height

V = 50 X 15 X 3

V = 2,250

5 0
3 years ago
For y = x^2 + 10x + 24, write the axis of symmetry, the vertex, and whether the
mylen [45]

Answer:

x= - 2

Step-by-step explanation:

hello :

note : the equation of the axis symmetry  for the parabola : y =ax²+bx+c

when :  a≠ 0 is : x=- b/2a

in this exercice : a=1  and b=10

so : x= -10/2 = -5

7 0
3 years ago
-p/3 - 8 = -3 I need the show work too
professor190 [17]

Answer:

-15

Step-by-step explanation:

-3+8-5. 5x3=15 and because it is -p it would be -15.

3 0
2 years ago
A lighthouse operator sights a sailboat at an angle of depression of 12 degrees. If the sailboat is 80m away, how tall is the li
mart [117]
Check out the attached image for the drawing of how this would look. The drawing isn't 100% needed but it helps I think. 

Based on the figure shown in the attachment, we have a right triangle with the adjacent leg of 80 (this leg is closest to the bottom 12 degree angle) and an opposite leg of h

In short,
adjacent = 80
opposite = h

We'll use the tangent rule
tan(angle) = opposite/adjacent
tan(12) = h/80
80*tan(12) = h
h = 80*tan(12)
h = 17.0045249336018  <<-- see note below

So the lighthouse is roughly 17.0045249336018 meters tall

Answer: 17.0045249336018

Note: Make sure you are in degree mode. The value is approximate. Round this answer however you need to

4 0
3 years ago
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