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Yuri [45]
2 years ago
13

Find the value of x cubed minus 2x squared minus 7x + 5 of x=1/2-√3 ​

Mathematics
1 answer:
Svetach [21]2 years ago
6 0

9514 1404 393

Answer:

  3

Step-by-step explanation:

For f(x) = x^3 -2x^2 -7x +5 and x=1/(2-√3), we have ...

  f(x) = ((x -2)x -7)x +5

and ...

  x = 1/(2-√3) = (2+√3)/(2^2 -3) = 2+√3

Then ...

  f(2+√3) = ((2 +√3 -2)(2 +√3) -7)(2 +√3) +5

  = (3+2√3 -7)(2+√3) +5

  = 2(√3 -2)(√3 +2) +5 = 2(3 -4) +5 = -2 +5

  f(1/(2 -√3)) = 3

_____

If you really mean x = (1/2) -√3, then f(x) = (42√3 -3)/8.

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Ginny factored 6x2 – 31x – 30 as shown: ac = –180 and b = 31 36(–5) = –180 and 36 + (–5) = 31 6x2 + 36x – 5x – 30 6x(x + 6) – 5(
meriva

Answer:

Ginny made a mistake in step 1 when she identified b = 31. It should be b=-31

Step-by-step explanation:

Ginny factored 6x^2 -31x -30 as shown:

ac = –180 and

b = 31

36(–5) = –180 and 36 + (–5) = 31

6x^2 + 36x – 5x – 30

6x(x + 6) – 5(x + 6)

(x + 6)(6x – 5)

b is the coefficient of x and from the trinomial 6x^2 -31x -30, b=-31.

Therefore Ginny made a mistake in step 1 when she identified b = 31. It should be b = –31.

The correct steps are: 6x^2 -31x -30:

ac = –180 and

b = -31

36(–5) = –180 and -36+5 = -31

6x^2-36x +5x -30  

6x(x-6)+5(x-6)

(x-6)(6x+5)

7 0
3 years ago
A frisbee has a diameter of 7.5 inches. What is its area in terms of inches?
Schach [20]
The area is 44.18 , hope this helps
3 0
2 years ago
As a town gets smaller, the population of its high school decreases by 8% each year. The senior class has 320 students now. In h
Semmy [17]

Answer:

in 13.95 years the senior class will have 100 students.

Step-by-step explanation:

P(h) = p(0.92)^t (equation for exponential change)

P(h) - population of highschool (or senior class) = 100

p - staring amount = 320

t = time in years

100 = 320(0.92)^t

1/3.2 = .92^t (divide both sides by 320)

log(1/3.2, .92) = t (log base 0.92 of 1/3.2 equals t)

13.9497 = t

6 0
2 years ago
A train will stop every 3/10 of a mile. Which of the following statements are correct?
Tju [1.3M]

Answer:

B

Step-by-step explanation:

Its fourth stop

also can i get your snap ?

4 0
2 years ago
for every weekend that mia does her household chores her mother gives her $9.for how many weekends does mia have to do her chore
allsm [11]
So, we'll say Mia gets $4.50 a day, since a standard weekend is two days, therefore adding up to $9 a weekend. So if Mia were to do her chores for 4 weekends, she'd have a total of $36 but not $40. So if she were to work an extra weekend, so 5 weekends, she'd have a total of $45. So you can say 5 weekends in order to earn more than $40.
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3 years ago
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