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Bumek [7]
2 years ago
15

What is the discriminant of the quadratic equation 2x² - x - 3=0?

Mathematics
1 answer:
Tamiku [17]2 years ago
6 0

The given quadratic equation is

2 {x}^{2}  - x - 3 = 0

comparing with

{ax}^{2}  + bx + c = 0

We get ,

a = 2 \\ b =  - 1 \\ c =  - 3

formula :

D =  {b}^{2}  - 4ac \\  \\ D =  {( - 1)}^{2}  - 4 \times 2 \times ( - 3) \\  \\ D = 1 - ( - 24) \\  \\D  = 1 + 24 \\  \\D  = 25.

Discriminant of given quadratic equation is 25 .

option (B) 25 ✔

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Why is the answer B? Plz explain.
Ivanshal [37]

Step One

Develop a formula for the perimeter.


Argument

What you see is a semicircle going upwards and another one going downwards. Two semicircles =1 circle.


The "perimeter" [Circumfrence] of a whole circle = 2*pi*r


We are told that whatever you call this the perimeter is 8pi + 16


Step Two

Set up the equation

8pi + 16 = 2*pi*r + 4r Including the line connecting these two.


Step Three

Take out the common factors on the left and right.


8(pi + 2) = 2r(pi + 2) Divide both sides by pi + 2

8 = 2r Divide by 2

4 = r


Sorry. I didn't know the meaning of perimeter. Mathmate is perfectly correct.

6 0
3 years ago
Please help before 12:55!
Elis [28]

Answer:

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Step-by-step explanation:

the answer is and answer

8 0
2 years ago
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How do I prove that 2 cot 2x = cot x-tan x?
BlackZzzverrR [31]
We will start off working on the right hand side. 
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<span>= [cos x / sin x] - [sin x / cos x] </span>
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<span>This is where it gets a bit tougher if you do not have your formula list with you. </span>
<span>(cos x)^ 2 - (sin x)^2 = cos(2x) </span>
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<span>Note that by arranging the second formula, we will have sin x cos x = (1/2) sin 2x </span>

<span>Hence, we will get: </span>
<span>[(cos x)^ 2 - (sin x)^2] / [sin x cos x] </span>
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7 0
3 years ago
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motikmotik

Answer:

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Step-by-step explanation:

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6 0
2 years ago
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The profits of mr cash’s company is represented by the equation p(t)=-3t^2+18t-4, where p(t) is the amount of profit in hundreds
eduard
We have that

<span>p(t)=-3t^2+18t-4

using a graphing tool, we can see the maximum of the graph
(see the attached figure)

A) </span><span>In what year of operation does Mr. Cash’s business show maximum profit?

</span>Mr. Cash’s business show maximum profit at year 3 (maximum in the parabole)

<span>B) What is the maximum profit? 

23 (hundred of thousand of dollars) = 2.300.000 dollars

</span>c) What time will it be two late?
 
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5.77 years, or an estimate of about  69 months.

4 0
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