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Transformation of graphs

Please see an attachment. 1) 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. For example, left 1 or rotated about the y-axis are descriptions. a) g(x) = e^x - 2 b) h(x) = - e^x 2) Describe the transformations

Using the Karush-Kuhn Condition

1. Consider the LP Max z=c1x1+2x2+c3x3 Subject to x1 + 5x2+a1x3 ≤ b1 X1-5x2+a2x3≤ b2 X1, x2, x3 ≥ 0 The optimal tableau for this LP is 1 d1 2 1 0 30 0 d2 -8 -1 1 10 ------------------------------------ 0 d3 -7 d4 0 z - 150 Without u

Writing Multi-Step Word Problems

I need to write 3 multi-step word problems with answers. One must use percentages, one must use exponents and the third can be any type. I have to include the process for solving each of the problems. The word problems don't have to be very difficult.

Speed and distance word problems

1.The speed at which light travels is approximately 3.0 × 105 kilometers per second. How far will light travel in 1.5 × 101 seconds? 2. The distance from Earth to the planet Jupiter is approximately 4.5 × 108 miles. If a spaceship traveled at a speed of 2.5 × 104 miles per hour, how many hours would it take the spaceshi

Some algebra questions involving rates

Gaining and losing weight are matters of caloric accounting: Calories in the food you eat minus Calories that you spend in activity. One pound of human body fat contains approximately 3,500 Calories. Based on information provided: Running 7 minute miles burns 979 calories per hour. Swimming at 2mph burns 408 calories per

Factor completely

Factor completely: 4k2 + 12k + 9 a. ( 2k - 9 )( - 3k + 1) b. ( 2k + 3 )2 c. ( 2k - 3 )2 d. ( 2k + 3 )( 2k - 3) Question 2 Factor completely: x2 - 100 a. ( x + 10 )( x - 12 ) b. ( x + 10 )( x + 10 ) c. ( x - 10 )( x - 10 ) d. ( x + 10 )( x - 10 )

Horizontal and Vertical Asymptotes

1. How do you determine the vertical asymptotes, given the equation of a rational function? Illustrate with an example. Why can't the graph of that function cross the assymptote? Describe what happens to the graph of a function as the value of the independent variable approaches its vertical asymptote. 2. How do you determin

Wonderful Position for Selected Job

1. Word problems seem to daunt practically everyone. Discuss why they seem intimidating to you (or why not, if they don't). Do you believe that most of the problems we face in our daily life are word problems? Examples? 2. You are in the wonderful position of having to select a job from one of two offers you have just recei

Measurements, Conversions and Area

Measurements and Calculations When making measurements, round each measurement to the nearest 1/4 foot. Part 1-Walls Calculate how much paint you will need to paint the walls of this room. To properly paint the walls, you will need to put one coat of primer paint and two coats of finish paint. For each calculation, briefly

Together and Alone Word Problems

Jack can shovel snow off the sidewalk in 3 hours. Joe can shovel snow off the same sidewalk in 2 hours. How long will it take them to shovel the sidewalk working together?

Word Problem: Relative Speed

A child in an airport is able to cover 270 meters in 3 minutes running at a speed down a moving sidewalk in the direction of the sidewalks motion. Running at the same speed in the direction opposite to the sidewalk's movement, the child is able to cover 256 meters in 4 mintues. What is the child's running speed and the she spe

The weekly demand model for a new toy is given by functions

Please assist by showing how to solution is obtained. 12. The weekly demand model for a new toy is given by: N = -5p + 80 The weekly supply model for the same toy is: N = 3p + 40 For the models p is the price of the toy and N is the number of toys sold or supplied. Find the price at which supply and dema

Find the number of boys and girls involved in the group

A professor started a project with a group of students, 60% of whom were boys, due to some unavoidable reason, six girls couldn't show up, so the professor had to make some changes in the group. He admitted six boys. In doing so the percentage of boys in the project increased to 75%. Find the number of boys and girls involved in

Simple Groups and Sylow p-Subgroups

(1) Prove that if |G|=1365, then G is not simple. (2) Assume that G is a nonabelian group of order 15. Prove that Z(G)=1. Use the fact that the group generated by "g" is less than or equal to C_G(g) for all "g" in G to show that there is at most one possible class equation for G.

Inflation and present value

Please develop a hypothetical scenario in a word document illustrating these concepts. Inflation: 1. If your salary today is $55,000 per year, what would you expect your salary to be in 20 years (rounded to the nearest thousand dollars) if you assume that inflation will continue at a constant rate of 6% over that time peri

Writing Inequalities from Word Problems

Suppose you want to cover the backyard with decorative rock and plant some trees as the first phase of the project. You need 30 tons of rock to cover the area. If each ton cost $60 and each tree is $84, what is the maximum number of trees you can buy with a budget for rock and trees of $2500? Write an inequality that illustrat

Linear Programming

Consider the following linear programming problem. MIN Z = 10x1 + 20x2 Subject to: x1 + x2 >= 12 2x1 + 5x2 >= 40 x1, x2 >= 0 What is minimum cost Z=?? Put your answer in the xxx.x (to one decimal place)

Prove that W is a Subspace of V

Let F be the field of real numbers and let V be the set of all sequences: (a_1, a_2, ..., a_n, ...), a_i belongs to F, where equality, addition and scalar multiplication are defined component wise. Then V is a vector space over F. Let W = {(a_1, a_2, ..., a_n, ...) belongs to V | lim n -> infinity a_n = 0}. Prove t