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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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For a button to fit through its button-hole the hole needs to be the size of the buttons diameter what size buttonhole is needed
Lena [83]

Answer:the size of the button hole is 2.35 cm

Step-by-step explanation:

For a button to fit through its button-hole, the hole needs to be the size of the buttons diameter.

The formula for determining the circumference of a circle is expressed as

Circumference = πd or 2πr

Where

d represents the diameter of the circle

π is a constant given as 3.14

From the information given, the circumference of the button is 7.38 cm. Therefore, the diameter of the button will be

d = circumference/π = 7.38/3.14

d = 2.35 cm

3 0
3 years ago
1/3x² + x+5/3x² = 1/9<br><br>HAHAHAHA......​
mr_godi [17]

Answer:

Now, 3x 2+x+5⩾0

This is because b² −4ac=1−4×5×3

=−59 (roots are imaginary)

3x²+x+5=(x−3)² =x²+9−6x and x−3⩾0

2x²+7x−4=0

2x²+8x−x−4=0

2x(x+4)−1(x+4)=0

(2x−1)(x+4)=0

x= 1/2 and−4 but x≥3

∴ No solution.

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7 0
2 years ago
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Triangles PQR and XYZ are similar triangles. Which are the other two angle measures of triangle XYZ?
Julli [10]

Angle Z = Angle R = 35 degrees

Angle Y = 180-70-35 = 180-105 = 75

35 & 75 degrees

5 0
2 years ago
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A certain species of animal is endangered and it’s numbers are decreasing 12% annually. There are currently 230 animals in the p
Iteru [2.4K]
B:f(x)=230(0.88);121 animals


6 0
2 years ago
PLEASE HELP! I’M SO CONFUSED!!
romanna [79]

Answer:

The answer is 7.

Step-by-step explanation:

4 divided  by 7 is 0.571428 these just keep repeating over and over again so the closest dividable number of 6 (6 is how many digits there are before it repeats) is 1998 so the 2nd digit in .571428 is 7 hope this helps.

8 0
3 years ago
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