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Lerok [7]
4 years ago
14

What are the real roots of 2x^3+9x^2+4x-15=0

Mathematics
1 answer:
klemol [59]4 years ago
8 0
Well, luckily it is apparent that (x-1) is a root because when x=1 the equation is equal to zero.  So we can divide the equation by that factor to find the other roots. 

(2x^3+9x^2+4x-15)/(x-1)
2x^2  r  11x^2+4x-15
11x    r  15x-15
15     r   0

(x-1)(2x^2+11x+15)=0

(x-1)(2x^2+6x+5x+15)=0

(x-1)(2x(x+3)+5(x+3))=0

(x-1)(2x+5)(x+3)=0

So the roots are x= -3, -2.5, 1
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What is the answer to this?
Dennis_Churaev [7]

Answer:

<h2>x = 14, z = 65</h2>

Step-by-step explanation:

The angles (5x - 5)° and (6x + 31)° are supplementary angles.

Supplementary Angles add up to 180°.

Therefore we have the equation:

5x - 5 + 6x + 31 = 180             <em>combine like terms</em>

(5x + 6x) + (-5 + 31) = 180

11x + 26 = 180               <em>subtract 26 from both sides</em>

11x = 154             <em>divide both sides by 11</em>

x = 14

The angles (5x - 5)° and z° are vertical angles.

Vertical angles are congruent.

Therefore we have the equation:

z = 5x - 5               <em>put x = 14 to the equation</em>

z = 5(14) - 5

z = 70 - 5

z = 65

4 0
3 years ago
Please help me with this following problem
Volgvan

Answer:

a - 30.2

b - 271.8

Step-by-step explanation:

60/4=15

60/3=20

9+6.45+2.4+8.15+4.2=30.2

30.2x9=271.8

7 0
2 years ago
I wanted to walk one mile each day in the morning I walked 4/10 if a mile and in the evening I walked 2/5 of a mile what was the
Vitek1552 [10]
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7 0
3 years ago
Read 2 more answers
What is the value of P(9.1)? What does it tell us about the side length and perimeter
nadya68 [22]

Answer:

the answer is 36.4

Step-by-step explanation:

you have to multiply it by 4 so it it will look like this 9.1*4=36.4

4 0
3 years ago
A candle is 9 inches long. Ronnie lights the candle and records the height of the candle, y inches, for x hours.​
DochEvi [55]

In the future, please post the full problem with all included instructions. After doing a quick internet search, I found your problem listed somewhere else. It mentions two parts (a) and (b)

Part (a) asked for the equation of the line in y = mx+b form

That would be y = -2x+9

This is because each time y goes down by 2, x goes up by 1. We have slope = rise/run = -2/1 = -2. This indicates that the height of the candle decreases by 2 inches per hour. The slope represents the rate of change.

The initial height of the candle is the y intercept b value. So we have m = -2 and b = 9 lead us from y = mx+b to y = -2x+9

----------------------------------------------------------------

Part (b) then asks you to graph the equation. Because this is a linear equation, it produces a straight line. We only need 2 points at minimum to graph any line. Let's plot (0,9) and (1,7) on the same xy grid. These two points are the first two rows of the table. Plot those two points and draw a straight line through them. The graph is below

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