### Polynomial Proof

Consider the cubic polynomial: See attached file for full problem description. Prove that if all 3 zeros are real, then all 3 coefficients are real.

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Consider the cubic polynomial: See attached file for full problem description. Prove that if all 3 zeros are real, then all 3 coefficients are real.

This is a intermediate algebra problem: A company that manufactures hospital beds has fixed monthly costs of $225,000. The average cost per bed, C, for the company to manufacture x beds per month is modeled by the formula C = 550x + 225,000 ------------------- x How many hospital beds can be m

In 1990, a price index based on 1980 = 100 had a value of z. During 1990, it was rebased at 1990 = 100, and in 1998 the new index stood at 112. If the total price movement between 1980 and 1998 was an increase of 40%, was was the value of z in 1990, that is, before rebasing? The answer given was, Using ratios, 1.12 x

Write an algebraic equation that you can use to solve for the answer. Scared of older kids, Alex pays Mr Simon some protection money. If any kid harasses Alex, Mr Simon will take care of the problem. For his services, Mr Simon asks for $90. Alex pays Mr Simon $15 and promises to pay the rest in six equal payments. How much w

Solve each equation by performing he same inverse operations to both sides and show steps. 1- 42+7x=0 2- -13r-92=77 3- 757=25n+132 4- x/4-13 =15 5- -13m-348=-23 6- t/13-56=-72 7- 47=-18+ y/8.2 8- -21+a/4=3.4 9- 240=-2.1-6h 10- 3(x+1)=9 11-17-k=-99 12- 6{1/3+m}

Solve the equations: 1- 3.14 = Z/-3.7 2- -4.7t = 12.22 3- m+2.7 = -9.3 4- -38=z minus 20.5 Write an algebraic equation and solve. 1- Years of stress from his BLA students have reduced the number of hair on Mr. Sit's head to 7560 strands. if he lost 963 strands during his time at BLA, how much hair did Mr

1- Write the expressions with only positive exponents. 1-p to the power of negative 4 time q to the power of negative 7 time p to the power of 3 2-27a to the power of negative 3 b to the power of negative 11/9 a to the power of 6 b to the power of two c 2- Use a number line to order the integers from least to greatest.

1-Factor the monomial into its smallest factors. a-14xy to the power of 2 z b-40n to the power of 3 m to the power of two 2-Find the GCF and the LCM 1-24c to the power of two d to the power of two, 48c to the power of 3d 3- Simplify each fraction a- 13ab/26a b- 42xyz to the power of 4/36y to the power of tw

30. Assume that Joe take 6 hours working alone and Sam takes 8 hours working alone, how long does it take the, to do it together? 54. (1 +3i) (2-5i) 64. i(3-4i) (6+4i) 84. 14 + 5i divided by 3 +2i 94. 5 divided by 9i

Modern Algebra Group Theory (XXXV) Cosets of Subgroups of a Group Normal Subgroups of a Group A subgroup N of G is a normal subgroup of G if and only if the product of two right cosets of N in G is again a right coset of N in G.

Modern Algebra Group Theory (XXXIII) Subgroups of a Group The Order of an Element of a group If in the group G, a^5 = e, aba^(-1) = b^2 for a,b belongs to

Modern Algebra Group Theory (XXX) Subgroups of a Group Centre of a Group If G is

Modern Algebra Group Theory (XXIX) Subgroups of a Group

I am practicing for CLEP exam. Can't work problem backwards. Multiple choice. What is the remainder when x to the 3rd + 5x to the 2nd - 6x + 10 is divided by x + 3 ? I know the answer is 46, I just don't know why. Can some one walk me through it?

It's a three digit number. It's an odd multiple of three, and the product of it's digits is 24. What is the number?

Please help with the following attached questions: 4, 8, 12, 16, 18, 22, 26 and 34 (See attached file for full problem description)

Please help with the follwoing attached questions: 14, 32,42,52,58,68,70 and 78 Please see the attached file.

Please help with the following attached questions: 2,8,12,20 2. If 40L of an acid solution is 75% acid, how much pure acid is there in the mixture? 8. Unknown Numbers: Consider the following problem. The difference between six times a number and 9 is equal to five times the sum of the number and 2. Find the number.

Please help with the attached questions: 4, 8, 10, 14, 18, 24, 30, 38, 42, 54, 62, 78, 82, and 92 (See attached file for full problem description)

How do I figure out the addition and multiplication tables for: Z mod 2 [x] / (x^2) ?

Find the exact values: 1) log (base 10) 1000 2) ln e^-100 3) log (base 5) (1/25) 4) log (base10) (0.1) 5) log (base 12) 3 + log (base 12) 48 6) 2^(log(base 2) 3 + log(base 2) 5) 7) e^(ln 15) 8) e^(3ln2) 9) log(base 8)320 - log(base8)5 -------------------------------------------------------------------------------

Y = x^2 - 4x - 5 = x^2 - 2*2*x - 5 = ( x^2 - 2*2*x +2^2 ) - 2^2 - 5 = (x-2)^2 - 2^2 - 5 = (x-2)^2 - 4 - 5 = (x-2)^2 -9 y = (x-2)^2 -9 How do I put this in the form y=a(x-H)^2+K, how do I graph this function, and why is it not necessary to plot points to graph when using y=a(x-h)^2+K?

If John has 300 feet of lumber to frame a rectangular patio (the perimeter of a rectangle is 2 times length plus 2 times width). He wants to maximize the area of his patio (area of a rectangle is length times width). What should the dimensions of the patio be? How do I set up this equation?

Using the Quadratic equation: x2 - 4x - 5 = 0. How do I solve this by factoring? by completing the square? & solve by Quadratic formula?

I need the answers to these last six questions. (See attached file for full problem description)

(See attached file for full problem description)

Modern Algebra Group Theory (XXVII) Subgroups of a Group Cosets of S

The minimum value of z = 5x + 15y, subject to 4x + 3y > 72 6x + 10y < 174 x > 0, y > 0 occurs at: A. (0, 17.4) B. (9, 12) C. (18, 0) D. (29,0)

Select the point which is in the feasible region of the system of inequalities: 4x + y < 8 2x + 5y < 18 x > 0, y > 0 A. (2,4) B. (-1,2) C. (1,3) D. (4,1)

Modern Algebra Logic (XII) Tautologies The Laws of