Make sure to superscript all exponents. If you believe that a polynomial is not factorable, label it as prime. Show all stages of factoring separately (i.e., show the result of factoring out a GCF before taking the resulting polynomial and factoring it again). 1. Factor completely: x5y3 - 9x4y2 + 20x3y 2. Factor comple
1. Simplify and evaluate: (42x3y-2z-3/x-5y8z-9)2 2. Convert to scientific notation (here you may use x as multiplication): 0.00083 3. For f(x) = 6x - 7, find f(2). 4. Perform the indicated operations: (-x2 - 6x + 3) - (-9x2 + x - 1) - (x2 + 5x - 2) 5. Use FOIL to multiply: (8x - 1)(2x + 5) 6. Multiply: (x4 -
A company's employees are working to create a new energy bar. They would like the two key ingredients to be peanut butter and oats, and they want to make sure they have enough carbohydrates and protein in the bar to supply the athlete. They want a total of 22 carbohydrates and 14 grams of protein to make the bar sufficient. Usi
Simplify. (m^6)^9 Simplify. (y^6/z^6)^9 See attached file for full problem description.
1. Give an example of a single polynomial with degree 3, whose value is 4 when the variable is equal to 1. 2. Give an example of a single polynomial with degree 3, whose value is 29 when the variable is equal to 2. 3. Find a polynomial with degree 3 whose values are 4 and 29 when the variable is equal to 1 and 2, respectiv
Find the oblique asymptote, if any, of the rational function, and prove algebraically. See attached file for full problem description.
A bill is sent to the President of the United States when it has passed both houses of Congress. A majority vote in both the House of Representatives (435 members) and the Senate (100 members) is needed for the bill to passed on the President. The majority vote is a majority of the members presents, as long as more than one-half
See the attached file. Solve each proportion: 34) b = -3 3 4 40) c + 3 = c + 2 c - 1 c - 3 Solve each equation: 8) y - 1 = 3 X + 3 4 18) 1 = E__
How do you know if a value is a solution for an inequality? How is this different from determining if a value is a solution to an equation? If you replace the equal sign of an equation and put an inequality sign in its place, is there ever a time when the same value will be a solution to both the equation and inequality?
A currency trader observes that in the spot exchange market, 1 U.S. dollar can be exchanged for 9 Mexican pesos or for 111.23 Japanese yen. What is the cross-exchange rate between the yen and the peso; that is, how many yen would you receive for every peso exchanged??
1. Solve. 5(x - 2)2 = 3 A) B) C) D) 2. Is the following trinomial a perfect square? x2 - 2x + 1 A) Yes B) No 3. Find the constant term that should be added to make the following expression a perfect-square trinomial. x2 + 8x 4. Solve by completing the square. x2 + 4x + 3
What are the values of sum1 and sum2? Let the function fun be defined as int fun(int *k) { *k += 4; return 3 * (*k) - 1; } Suppose fun is used in a program as follows void main() { int I = 10, j = 10, sum1, sum2; sum1 = (I / 2) + fun(&i); sum2 - fun(&j) + (j / 2); } What are the values of sum1 and
*All work must be done on attached template using Equation Editor. Please follow all directions exactly.* Part 1 Explain how you solved one math problem from the CheckPoint assignment in 4 complete sentences (copy the original problem that you solve) to explain in a way that another student would be able to follow your direc
Combine like terms: -3x2 + 8x - 7x2 + 9 + 2x - x2 + 11 Solve for x: 5x - 12 = 4x + 5 Solve for x: -3(4x + 3) - 2 = 7 - 2x + 3 Solve for x: (x + 3)/4 - 3/2 = (x + 4)/8 Translate to an algebra statement; do not solve: Twice the difference of seven times a number and four yields the same result as the same number i
Please see the attached file for the fully formatted problems. 1. Decide all values of b in the following equations that will give one or more real number solutions. Solve the following three quadratic equations, using what you consider to be the optimum method for each problem (factoring, square root method, etc.). Why
Find the Taylor polynomial of order 3 for f(x) = sin x, centered at Xο = pi/2 (Xο ο is a subscript)
Example of geometric sequence: population growth A population that starts at 100 and doubles in growth every eight years: The expression would give the population t years after the growth starts. I would like the information about this geometric series example (regarding the 8 years with an initial value of 100).
The equation 6x^4 - 25x^3 + 32x^2 + 3x - 10 has two real roots of -1/2 and 2/3. By algebraic division and solving a quadratic equation, find the other two roots. See attached file for full problem description.
Suppose that p(x) = 3 - 4x + x² is the quadratic Taylor polynomial approximation based at Xο (ο is a subscript for x) = 1 to a function g. Indicate whether each of the following statements must be true, cannot be true, or might be true. Justify the answers a) g(1) = 0 b) g'(1) = -4 c) g"(1) = 2 d)
Two nonnegative numbers multiply to 10. How small can their sum be?
Use the properties for radicals to simplify the following expression. Assume that all variables represent positive real numbers (see attachment for equation). See attached file for full problem description.
See attached file for full problem description. 1. Use property 2 to simply the following radical expression. sqrt(10/49) 2. Use the properties for radicals to simply the following expressions. Assume that all variables represent positive real numbers. sqrt(5/3), sqrt(12x^3/5) 3. simply by combining like terms: sqrt(63)
Solve for x: 7/6x - 1 = 1/3x - 5/2 Simplify your answer as much. Show all of the steps involved.
6 less than 8 times a whole number is 2 more 4 times that number. See the attached file.
3(x-2)-6x=15 Simplify as much as possible -7(x+7)= -5x-9+5(-8x-6)=?
If the ratio of a to b is equal to the ratio of b to a, what can you say about the two numbers a and b? Are they the same or different? Justify your answer by either giving a convincing argument or by giving some examples with detailed explanation.
1. State the largest possible domain for the definition of the function. f(x,y) = cube-root(y^2-x) 2.The plane 2y+4z = 5 meets the cone z^2 = 4(x^2+y^2) in a curve. Use the method of Lagrange multipliers to find the point on this curve nearest to the origin.
See attached file for full problem description.
1. Find the product: 6a-4(a5 + 3x2) 2. Find the product: {(-3x3)2}2(-4x4)3 3. Find the GCF (Greatest Common Factor) for the following group of polynomials: A) 7yx3, 21x3y B) (x - y), (x4 - y4), (x2 - y2) 4. Perform the indicated operation and write the result as a polynomial in the standard form: (
The intensity level of an earthquake is based on the Richter scale. Using logarithms, the Richter scale measures an earthquake relative to (as a ratio of) the weakest possible tremor. 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 you