Find all real or imaginary solutions to each equation: 3v^2 + 4v - 1 = 0 Solve the equation 2y^2 - 3y - 6 = 0 (x-10)(x-2) = -20 Determine whether the parabola opens up or down: y = -1/2x^2 + 3 Find the vertex and intercepts for each parabola: g(x) = x^2 + x - 6 Find all real solutions to each equation: x^2 + x +
What is the formula for measuring earthquakes? Why is a 7.0 earthquake ten times stronger than a 6.0 earthquake? Pick an earthquake in your region of the world. Give the measurement of the earthquake. Explain what this measurement means.
The band U-2 has concert that starts in 17 minutes and they must all cross a bridge to get there. All four men begin on the same side of the bridge. You must help them across to the other side . It is night there is one flashlight. A maximum of two people can cross at one time. Any party who crosses, either 1 or 2 people, m
Polynomial Ring. See attached file for full problem description. 1. Construct the fields of the following orders (a) 9 (b) 49 (c) 8 (d) 81(you may exhibit these as F[x]/(f(x))) for some F and f) 2. For each of the fields constructed in (1) exhibit a generator foe the (cyclic) multiplicative group of nonzero elements.
Simplifying Expressions. See attached file for full problem description. Simplify the following expression as much as possible Rewrite the following in simplified radical form Simplify Write in simplified radical form by rationalizing the denominator Solve for Solve for w Write
Please see the attached file for the fully formatted problems. Multiply Write in lowest terms Write as a single rational expression Add and simplify Reduce the following expression to lowest terms Reduce the following expression to lowest terms Solve for Z Find all value
Short Algebra Fraction. See attached file for full problem description. Please explain to me in a step by step detail as if were explaining to a child how to get the answer to this fraction.
Polynomial Ring. See attached file for full problem description.
Prove that if [F(x):F] is odd, then F(x)=F(x^2).
Let f (x) = e^x/x^2 . Find all critical points of f (x) and classify them as maximums or minimums. State the intervals where f (x) is increasing and decreasing. Please show graph or work (pref. derivative).
Solve for x: a) ln⁡〖(5x+1)+ ln⁡x 〗 = ln⁡4 b) 2e^(x+1)-ln⁡6 = 5 + e^3
1. Find the value of "c" such that the expression "(x^2) + 6x + c" is a perfect square. 2. Find the value of "a" such that the expression "(z^2) + 12z + a" is a perfect square. 3. Factor the expression 3*(u^4)*(y^4) - 48*(u^4) completely. 4. Factor the expression 36*(t^3) - 48*(t^2) - 20t completely. 5. Factor the ex
Please see the attached file for the fully formatted problems.
Find the greatest common factor 1. 16x^2z, 40xz^2, 72z^3 Factor each polynomial 2. 9a^2 - 64b^2 3. x^3 + ax + 3a + 3x^2 4. 18z + 45 + z^2 5. x^2 - 5xs - 24s^2 6. A triangular sail has a area of x^2 + 5x + 6 square meters and a height of x + 3 meters. find the length of the sail's base.
Solve the inequality. - 1/17 < -2/17 x
How do I write the equation (1/3)^-6 = 729 in logarithmic form?
Fill in the blank to make a true statement. To solve 4^x =27, we can take the logarithm of each side of the equation to get log (4^x) = log (27). The power rule for logarithms would then provide a way of moving the variable x from it's position as an _________ to the position of a coefficient. Is the blank, negative value, ba
Simplify the expression: assume all variables represent positive numbers (81x^4 y) ^1/4 / (16xy^3) ^3/4
On Problems 4 and 5 with 1<p< infinity and q the index dual to p, it will be helpful to remember from the proof of Young's inequality that, for y and z positive numbers, y^p = z^q if and only if y=z^(q-1) if and only if z=y^(p-1) and, under these equivalent conditions, zy = y^p =z^q. See attached file for full problem d
Factor the polynomial completely t^2 - 9w^2 10a^2 + ab - 2b^2 z^4 - 81 Factor each completely given that the binomial following it is a factor of the polynomial x^3 - 4x^2 - 3x - 10, x - 5
Modern Algebra Ring Theory (XXXVI) Polynomials over the Rational Field Euclidean Ring Irreducible Polynomial If m and n are relatively prime integers and ( x - m/n ) divides ( a_o + a_1x + ... + a_r x^r ) where the a's are integers, prove that m divide
Give an example of a rational expression P/Q such that: The degree of the denominator Q is 3 and this expression is defined for all real numbers except the values 2 and 4.
Give an example of a polynomial with degree 3 such that when factored, it contains the two factors (x+5) and (2x-1), i.e., the polynomial looks like (x+5)(2x-1)(?). How many such polynomials you think there are? What if I add the constraint that the value of this polynomial is zero when the variable x is equal to 1, how many suc
Give an example of a polynomial of a degree 2 that satisfies the following two conditions: (1) the coefficient of x^2 is 1 and (2) the polynomial cannot be factored. Explain why the polynomial cannot be factored. Give an example of a polynomial with degree 2 that can be factored as the product of two polynomials of degree 1 e
The company sells lawnmowers for $895 each. The variable cost per lawnmower is $520. The company's monthly fixed costs are $84,500. Using the C-V-P equation, compute the amount of profit the company will have for a month in which the company sells 375 lawnmowers.
1. Determine the automorphisms of the extension Q 2^(1/4) / Q^(1/2) explicitly.
Use the quadratic formula to solve the equation: x ^ 2 - 3x + 2 = 0
I am trying to factor the polynomial f(x) = 2x^3 - 5x^2 - 4x + 3. I think it is (x-3)(x+1)(x- 1/2). Am I right? (See work below.) Once I factor f(x), how do I use that to find the answers to the following questions? a) f(x) = 0 b) f(x+2) = 0 c) f(2x) = 0 This is the work that I used to factor f(x):
I need to find the irreducible polynomial in Z3[x]. A) how many irreducible polynomial of degree 2 in Z3[x] B) how many irreducible polynomial of degree 3 in Z3[x]
Give an example using either completing the square or the quadratic formula and explain each step as if you were teaching someone who had never used the method before.