Factoring Polynomials
56) 18z+45+x^2 64) x^2 - 5xs -24x^2 104) -4w^3 -16w^2 +20w
56) 18z+45+x^2 64) x^2 - 5xs -24x^2 104) -4w^3 -16w^2 +20w
Chandra has 5 liters of a 24% solution of sodium hydroxide in a container. What is the amount and concentration of sodium hydroxide solution she must add to this in order to end up with 8 liters of 27% solution?
See attached file for full problem description. Factor 1. 2x^2 -19x +25 2. 60w^3 + 85w^2 -25w 3. 125 + 27z^3 4. Find the least common multiple of the two expressions: 9t^3wy and 5t^4w 5. Factor: uw - 6z - wz + 6u 6. Factor: -2x +wx - 4w +2w^2 7. Factor quadratic expression: t^2 +10
I am in desperate need of a summary of the attached file. (My class is "math 07: exploring world cultures in math class.)
1. Given that x and y are both positive, solve the simultaneous equations log(xy) =7 log(x/y) =1 Answers given: x = 10000 y = 1000 2. log (p - q +1) =0 log (pq) + 1 = 0 Show that p = q = 1/square root 10 3. Solve the following equation for x: 2^2x + 1
Use the square root property to solve the following equations. x^2= 169 x^2-12=0 5x^2-65=0 (x-2)^2= 25 Solve the equation by completing the square. x^2+4x-21=0 x^2+16x+43=0 x^2+12x=-13 x^2+15=-10x 4x^2+16x+7=0 Use the quadratic formula to solve the following equations x^2+7x+6=0 x^2-22x+121=0 2x^2-(square root
Please see attached file for full problem description. 1. Evaluate , if possible. 2. Use a calculator to approximate to the nearest hundredth. 3. Simplify. 4. Simplify. 5. Simplify. Assume x represents a positive number. 6. Simplify. 7. Simplify. 8. Simplify. 9. Simplify.
1. When simplifying like terms- how do you figure out the "like terms"? 2. Consecutive integers Find three consecutive integers such that the sum of their square is77. 3. Towering antenna A guy wire of length 50 feet is attached to the ground and to the top of an antenna. The height of the antenna is 10 feet larger than
Suppose that f is an onto mapping from A to B. Prove that if { B_lambda } , lambda is an element of the set β, is a partition of B, then { f^-1( B_lambda)}, lambda element of β, is a partition of A. Don't get confused by the index "lambda". If it helps, you can take the partition to be B1,B2,...,Bn. The reason they have tha
Please help with the following problem. A relation R is defined on the set Z of all integers. In each case, prove that R is an equivalence relation. Find the distinct equivalence classes of R and list at least four members of each. 1- xRy if and only if x^2+y^2 is a multiple of 2. **Write x^2+y^2 as (x+y)^2-2xy 2- x
1. Calculate distance in inches that a bicyclist travelling 35 mph moves in 1/125 of a second? 2. Notice the bicyclist is riding along a white line. Suppose the length of this white line captured in a photograph is 14 ft. Use proportions to calculate the distance the bicyclist will appear to move in a photograph of this sc
Attached you will find the problems to be completed. I need help in completing the following exercises. I need to use the Equation Editor in Microsoft® Word to do these problems, then submit a Word document, showing the work and answers. 1. List the factors of each of the following numbers. 66 Use the following list of n
1. 2^2x - 5 x 2^x + 4 = 0. Answer given: 0,2 2. 2 x 2^2x - 11 x 2^x + 5 = 0. Answer given: -1, 2.32 3. 2 x 3^2x - 5 x 3^x = 4. Answer given: 1.04
Use algebra and limit laws to find the limits: a)lim of square root of x+1 - square root of x as x approaches + infinity b) lim of square root of x^2+x+1 - square root of x as x approaches + infinity c) lim (x^3-x^2) x as x approaches + infinity Check you answers by graphing the functions. For example graph lim of squar
Prove using the Principle of Induction. 5^(2n)-4^n is divisible by 7 for any positive integer n.
A Mortar shell fired with an angle of elevation of 52 degrees has a range of 2.1 km. Neglecting air resistance determine: 1 - The time of the flight 2 - The shell's initial velocity 3 - The shell's range and height 30s after firing 4 - The other range at which the height was the same as calculated in part (3) above.
What is the basic principle that can be used to simplify a polynomial? What is the relevance of the order of operations in simplifying a polynomial? What operations can you associate with coefficients? What operations can you associate with exponents?
4x(x-1)-5x(x)=3
See attached file for full problem description.
Exercise from textbook: Solve the equation for x (by taking the logarithms of both sides): 6^1-x = 2^3x+1 Answer given: 0.28 All the other exercises have x on the same side (left) so this one has thrown me.
Part 1: Using the Library, web resources, and/or other materials, find the logarithmic formula that gives the pH of a substance. State what each variable in your equation represents. Find the hydrogen ion content of a substance of your choice. Using this hydrogen ion content, show how to find the pH of the substance using th
Part 1: Using the Library, web resources, and/or other materials, find the logarithmic formula that gives the pH of a substance. State what each variable in your equation represents. Find the hydrogen ion content of a substance of your choice. Using this hydrogen ion content, show how to find the pH of the substance using th
Please see the attached file for complete description Sec 7.4 In exercises 8, we have graphed the boundary line for the linear inequality. Determine the correct half-plane in each case, and complete the graph. See attached file for full problem description. y > 3 Graph each of the following inequalities. 16. 4x + y > =
See attached file for full problem description. 1) Find the domain of the following: a) f(t) = log(t -5) b) g(x) = 5 *e^x c) g(x) = ln(t + 4) d) g(t) = 5^t 2) Describe the transformations on the following graph of f(x) = e^x. State the placement of the horizontal asymptote and y-intercept after the transformation. Fo
Solve each equation by using the Quadratic formula So that you understand the problem correctly it should read 4 x squared minus 4x plus one equal zero. I am having a hard time understanding how to write algebra symbols using a computer, would you also tell me how to write this problem. 4x2 - 4x + 1 = 0 "V" squared pl
1. Work with a partner to decide all values of b in the following equations that will give one or more real number solutions. A. 3x^2 + bx-3= 0 B. 5x^2 + bx+1= 0 C. -3x^2 +bx-3= 0 D. Write a rule for judging if an equation has solutions by looking at it in standard form. *What is your conclusion?* 2. Solve the fol
Logarithmic functions have an interesting history. Although John Napier is credited for popularizing logs, there are earlier developments that include another mathematician who developed logs earlier and independently. Furthermore, logarithms became especially important for allowing difficult calculations prior to the developmen
Many different kinds of data can be modeled or measured easily using exponential and logarithmic functions. For example, consider ideal gases: Pressure versus volume give a curved plot, but a log graph of pressure versus volume provides a linear plot that is easier to interpret. Log plots are also used in the study of the rates
Please see the attached file for the fully formatted problems. f(x) = (x+1)^2 - 5
Please see the attached file for the fully formatted problems.