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antoniya [11.8K]
3 years ago
7

if alpha and beta are the zeroes of the polynomial f(x) = 6x² + x - 2, find the value of 1/alpha + 1/beta - alphabeta​

Mathematics
1 answer:
finlep [7]3 years ago
7 0

Answer:

let alpha be x and beta be y

Step-by-step explanation:

x+y= -b/a

x+y=-1/6

and xy= c/a

xy= -1/3

according to question

1/x+1/y -xy =(x+y)/xy-xy

(-1/6)/(-1/3)-(-1/3)

1/2+1/3

the answer is 5/6

You might be interested in
How do you the equation of the line that passes through point (-3,2) and is parallel to the line formed by the equation y = 4x +
hjlf

Answer:

y = 4x + 14

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 4x + 7 ← is in slope- intercept form

with slope m = 4

• Parallel lines have equal slopes , then

y = 4x + c ← is the partial equation

to find c substitute (- 3, 2 ) into the partial equation

2 = - 12 + c ⇒ c = 2 + 12 = 14

y = 4x + 14 ← equation of parallel line

3 0
2 years ago
Read 2 more answers
Help me with this pleaseee…!
masya89 [10]

Answer:

<u><em>All real numbers</em></u>

Step-by-step explanation:

<u><em>We can start out by knowing that</em></u><u><em> the domain of a graph is, the side, to side from the x axis directions. </em></u>

<u><em>We can see that the </em></u><u><em>line continues of the graph shown, meaning it is infinite. </em></u><u><em>Meaning the answer is </em></u><u><em>the domain is all real numbers.</em></u>

<u><em>We can double check by seeing that the other options don't work or aren't enough:</em></u>

x\geq 2\\and\\x\leq 2\\and\\x\geq -4<u><em /></u>

<u><em>The first wouldn't work becuase, yes that is part of the answer, but not the whole answer. The same goes for the others as well, they are on the line and are correct, but the best, and full answer is </em></u><u><em>"All real numbers"</em></u>

3 0
2 years ago
Which is the graph of linear inequality 6x+2y&gt;-10
NemiM [27]
For this case we have the following inequality:
 6x + 2y\ \textgreater \  -10&#10;
 The first thing we must do is to graph the linear function:
 6x + 2y = -10&#10;
 Then, we must evaluate ordered pairs in the following way:
 (x, y)
 The ordered pairs that meet the inequality, will be included as part of the graph.
 Therefore, the shaded region contains all the ordered pairs that meet the inequality.
 Answer:
 See attached image.

8 0
3 years ago
Please answer all parts of the question and all work shown.
faust18 [17]

Answer:

a. 0.4931

b. 0.2695

Step-by-step explanation:

Given

Let BG represents Boston Globe

NYT represents New York Times

P(BG) = 0.55

P(BG') = 1 - 0.55 = 0.45

P(NYT) = 0.6

P(NYT') = 1 -0.6 = 0.4

Number of headlines = 5

Number of depressed articles = 3 (at most)

a.

Let P(Read) = Probability that he reads the news the first day

P(Read) = P(He reads BG) and P(He reads NYT)

For the professor to read BG, then there must be at most 3 depressing news

i.e P(0) + P(1) + P(2) + P(3)

But P(0) + P(1) + .... + P(5) = 1 (this is the sample space)

So,

P(0) + P(1) + P(2) + P(3) = 1 - P(4) - P(5)

P(4) or P(BG = 4) is given as the binomial below

(BG + BG')^n where n = 5, r = 4

So, P(BG = 4) = C(5,4) * 0.55⁴ * 0.45¹

P(BG = 5). = (BG + BG')^n where n = 5, r = 5

So, P(BG = 5) = C(5,5) * 0.55^5 * 0.45°

P(0) + P(1) + P(2) + P(3)= 1 - P(BG = 4) - P(BG = 5)

P(0) + P(1) + P(2) + P(3) = 1 - C(5,4) * 0.55⁴ * 0.45¹ - C(5,5) * 0.55^5 * 0.45°

P(0) + P(1) + P(2) + P(3) = 0.7438

For the professor to read NYT, then there must be at most 3 depressing news

i.e P(0) + P(1) + P(2) + P(3)

But P(0) + P(1) + .... + P(5) = 1 (this is the sample space)

So,

P(0) + P(1) + P(2) + P(3) = 1 - P(4) - P(5)

P(4) or P(NYT = 4) is given as the binomial below

(NYT+ NYT')^n where n = 5, r = 4

So, P(NYT = 4) = C(5,4) * 0.6⁴ * 0.4¹

P(NYT = 5). = (NYT + NYT')^n where n = 5, r = 5

So, P(NYT = 5) = C(5,5) * 0.6^5 * 0.4°

P(0) + P(1) + P(2) + P(3)= 1 - P(NYT = 4) - P(NYT = 5)

P(0) + P(1) + P(2) + P(3) = 1 - C(5,4) * 0.6⁴ * 0.4¹ - C(5,5) * 0.6^5 * 0.4°

P(0) + P(1) + P(2) + P(3) = 0.6630

P(Read) = P(He reads BG) and P(He reads NYT)

P(Read) = 0.7438 * 0.6630

P(Read) = 0.4931

b.

Given

n = Number of week = 7

P(Read) = 0.4931

R(Read') = 1 - 0.4931 =

He needs to read at least half the time means he reads for 4 days a week

So,

P(Well-informed) = (Read + Read')^n where n = 7, r = 4

P(Well-informed) = C(7,4) * (0.4931)⁴ * (1-0.4931)³ = 0.2695

3 0
3 years ago
Plz guys help me.
Vlad [161]

Example of six ordered pairs with country names alongside their capitals are:

{(England, London), (USA, Washington DC), (India, New Delhi), (Nepal, Kathmandu), (Austria, Vienna), (Albania, Tirana)}.

<h3>What are Ordered Pairs?</h3>
  • Ordered pair can be described as a pair of objects or numbers in a particular order.
  • In an ordered pair, the order of the objects or numbers are very important. For example, (a, b) is not the same as (b, a).

Therefore, example of six ordered pairs with country names alongside their capitals are:

{(England, London), (USA, Washington DC), (India, New Delhi), (Nepal, Kathmandu), (Austria, Vienna), (Albania, Tirana)}.

Learn more about ordered pairs on:

brainly.com/question/1090891

3 0
2 years ago
Read 2 more answers
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