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professor190 [17]
3 years ago
10

A circle has a radius of 3 cm. How does the circumference A circular piece of glass has a radius of 0.8 meters. The glass sells

for $4.60 per m². What is the total cost of the circular piece of glass? Use 3.14 for pi. $2.01 $9.24 $23.11 $36.98f the circle compare to the area? Drag and drop a phrase to correctly complete the sentence. The circumference is the area
Mathematics
1 answer:
MA_775_DIABLO [31]3 years ago
6 0
Im not sure on how you went about wording your questions but the answer for 
<span>A circular piece of glass has a radius of 0.8 meters. The glass sells for $4.60 per m². What is the total cost of the circular piece of glass? Use 3.14 for pi. $2.01 $9.24 $23.11  
is B.$9.24
This is all i could get from what you wrote.
</span>
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Apply The Remainder Theorem, Fundamental Theorem, Rational Root Theorem, Descartes Rule, and Factor Theorem to find the remainde
Over [174]

9514 1404 393

Answer:

  possible rational roots: ±{1/3, 2/3, 1, 4/3, 2, 3, 4, 6, 12}

  actual roots: -1, (2 ±4i√2)/3

  no turning points; no local extrema

  end behavior is same-sign as x-value end-behavior

Step-by-step explanation:

The Fundamental Theorem tells us this 3rd-degree polynomial will have 3 roots.

The Rational Root Theorem tells us any rational roots will be of the form ...

  ±{factor of 12}/{factor of 3} = ±{1, 2, 3, 4, 6, 12}/{1, 3}

  = ±{1/3, 2/3, 1, 4/3, 2, 3, 4, 6, 12} . . . possible rational roots

Descartes' Rule of Signs tells us the two sign changes mean there will be 0 or 2 positive real roots. Changing signs on the odd-degree terms makes the sign-change count go to 1, so we know there is one negative real root.

The y-intercept is 12. The sum of all coefficients is 22, so f(1) > f(0) and there are no positive real roots in the interval [0, 1]. Synthetic division by x-1 shows the remainder is 22 (which we knew) and all the quotient coefficients are all positive. This means x=0 is an upper bound on the real roots.

The sum of odd-degree coefficients is 3+8=11, equal to the sum of even-degree coefficients, -1+12=11. This means that -1 is a real root. Synthetic division by x+1 shows the remainder is zero (which we knew) and the quotient coefficients alternate signs. This means x=-1 is a lower bound on real roots. The quotient of 3x^2 -4x +12 is a quadratic factor of f(x):

  f(x) = (x +1)(3x^2 -4x +12)

The complex roots of the quadratic can be found using the quadratic formula:

  x = (-(-4) ±√((-4)^2 -4(3)(12)))/(2(3)) = (4 ± √-128)/6

  x = (2 ± 4i√2)/3 . . . . complex roots

__

The graph in the third attachment (red) shows there are no turning points, hence no relative extrema. The end behavior, as for any odd-degree polynomial with a positive leading coefficient, is down to the left and up to the right.

4 0
3 years ago
Whats the sum and difference of 13-(-17)
ser-zykov [4K]
Sum= positive 30 because you add the opposite
The difference between the numbers is also 30
5 0
3 years ago
What is the value of the cube below?<br><br> A. 9h<br> B. 3h<br> C. 6h<br> D. 9h^2
coldgirl [10]

Answer:

B: 3h

Step-by-step explanation:

Because every line on that cube or any cube will be the same length, width, and height.

7 0
3 years ago
Is there a relationship between the distance and the sum? Is there a relationship between the distance and the difference? A 5-c
Genrish500 [490]

Answer:

  • C) The distance is the absolute value of the difference

Step-by-step explanation:

We are interested in the last two columns.

If we compare them we see that each value of the distance column is the absolute value of corresponding value of difference:

  • a - b        = 1, 5, - 3
  • distance  = 1, 5, 3

Corect choice is C

3 0
2 years ago
What is 2/3 (x+13)=22
AleksandrR [38]
X is 20, as 33 * .66 is 22.
4 0
3 years ago
Read 2 more answers
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