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Algebra

Life Expectancy of Males

Word problems In 1994, the life expectancy of males in a certain country was 72.4 years. In 2000 it was 74.5. Let E represent the life expectancy in year t and let t represent the number of years since 1994. The linear equation that fits is E(t)= _t + _ please round to the nearest tenth. Then use the equation to predict t

Parabolic arch

Suppose you wanted to design a parabolic arch (a parabola opening downward) as a trellis in your garden. This would mean that the first term of the quadratic equation, the term with the variable raised to the second power, would have to be negative. An engineering friend suggests that the following quadratic function might be ae

Equations

1) Solve the following algebraically. All answers should be written in rational form. a) 3x + 7 = 9 Answer: Show your work here: b)-3(x+5) +3=12 Answer: Show your work here: c) 2/3x+1/6x=2 Answer: Show your work here: d)-2x-4<10 Answer: Show your work here: 2) a)3x+4y=8 Solve for

Equations

1.The equation C=mx+b can be used to model the monthly cost, C, of a cell phone plan where b is the flat monthly cost, m represents the cost in dollars per minute and x is the number of minutes used in the month. Choose a flat monthly rate and cost per minute and insert the values you have chosen for m and b into the equation. T

Rational Equations

1. Solve 2. Solve 3. Solve 4. Solve the following for x 5. Solve the following equation for the variable 6. Solve 7. Solve 8. Jack usually mows his lawn in 5 hours. Marilyn can mow the same yard in 3 hours. How much time would it take them to mow the lawn together? 9. The speed of a passenger train is 10mph faster tha

Sets, Counting, Union and Intersection

Create two sets, set A and set B. Set A will be a list of five items you personally NEED to buy the most (essential items). Set B will be a list of five items that you WANT to buy the most (fun stuff). * List the items in Set A and Set B, and also list or state the items in the union and in the intersection of Set A a

Graph and analyze Linear functions

Please help me with these problems and please show all work and steps to your solutions. This will help me better understand the problems once I have the answer and the steps for it. Thanks! Please show work 1. How do we write the equation of a horizontal line? What would be an example? 2. How do we write the equation of

Sequences

See attachment 1. John wants to fence a 150 square meters rectangular field. He wants the length and width to be natural numbers {1,2,3,...}. What field dimensions will require the least amount of fencing? 2. List the terms that complete a possible pattern in each of the following, and classify each sequence as arit

Applying Algebra in Word Problems

Please help with the following problems which involve applying algebra in word problems. In 2002, Home Depot's sales amounted to $58,200,000,000. In 2006, its sales were $90,800,000,000. b. What was the percent growth in Home Depot's sales from 2002 to 2006? Do all your work by using scientific notation. (source: Home

Several problems on rational equations and proportions

Question #11 / 25 Reduce the following rational expression to its lowest terms: Question #12 / 25 Solve for : . Simplify your answer as much as possible. Question #13 / 25 Solve the following equation for : . Simplify your answer as much as possible. Question #14 / 25 Solve for :

Help me find cost equation and revenue equation.

Help me find cost equation and revenue equation. The PTO of Parksville Elementary School is having a Bazaar and all of the classes are expected to contribute to this fun and exciting event. The third grade teachers, along with some dedicated parents, decide to sell cotton candy. A little research shows you can get the mac

Direct deposit problem: write an equation of a line

Direct deposit. The percentage of workers receiving direct deposit of their paychecks went from 32% in 1994 to 60% in 2004 (www.directdeposit.com). Let 1994 be year 0 and 2004 be year 10. a) Write the equation of the line through (0, 32) and (10, 60) to model the growth of direct deposit. b) Use the accompanying graph

Interval Notation and graph

See attachment Section One Interval Notation and graph: 50 - The set of real numbers less than or equal to - 4 94 - Which of the following integers has an absolute value greater than 1 -4,-3,-2,-1,0,1,2,3,4 100- The interval notation for the following: X-------0 -50 -40 -30 -20 -10 0 10 20 30 | | | |

What are the X and Y Intercepts?

Solve for both the x and y intercepts: Using the line given by the equation 8x-7y+13=0, solve for the intercepts which are unknown.

Word problem - The Sugar Sweet Company is going to transport its sugar to market. It will cost $3125 to rent trucks, and it will cost an additional $125 for each ton of sugar transported. ...

The Sugar Sweet Company is going to transport its sugar to market. It will cost $3125 to rent trucks, and it will cost an additional $125 for each ton of sugar transported. Let c represent the total cost (in dollars), and let S represent the amount of sugar (in tons) transported. Write an equation relating to C , and then

vertex, intercepts and range of parabola

See the attached problems 1. find the intercept, vertex, domain, and range, then graph the parabola (1) y = x^2 + 2x - 3 (2) y = -x^2 -5x - 4 (3) a = b^2 -6b - 16 2. graph the parabola, state the domain and range: (1) y = 1/3x^2 - 6 (2) y= -x^2 -1 (3) y = (x - 2)^2

Algebraic Methods for solving problems

Part A. Provide answers to the following problems. 1. A car has 16 gallons gas tank. On a long highway trip gas is used at the rate of about 2 gallons/hr. The quantity of gas (in gallons) can be modeled by the equation, G = 16-2t, G stands for gas, and t is for time in hours. At the end of the trip, there are 2 gallons of g

Perimeter and width

The perimeter of a rectangular garden is338 feet. If the width of the garden is74 feet, what is its length?

Create a Word Problem and present a step by step solution to your problem.

Create a word problem about Linear Equations, or Inequalities in one variable, or discount, investment, or mixture, or numbers, or geometric, uniform motion applications . Then present a step-by-step solution to your problem. The created word problem and solution NEED TO INCLUDE BETWEEN 250 TO 300 WORDS.

If A ( B and B ( C, can you conclude that A ( C ? can you conclude that A ( C?

If A ( B and you conclude that A ( C? CAN YOU CONCLUDE THAT A ( C? if A ( B and B ( C, can you conclude that A ( C? can you conclude that A ( C? iF A ( B and B 9 C, can you conclude that A ( C? can you conclude that A ( C? write down all possible subsets of {a,b,c,d} 3. without writing them down what are the number of subs

Word problems

1.After a 13% price reduction , a boat sold for 28,710. What was the boat's price before the reduction? Round to the nearest cent. 2. For three days in a row , volunteers picked up trash on a particular beach. They picked up a total of 615 pounds. On the second day they collected 33 pounds more than on the first day.

Word problem

1. Every Sunday Jarod buys a loaf of bread for his family from the corner bakery for $3. the local department store has a sale on breadmakers for $79. If the breadmaking supples cost $0.67 per week, for how many weeks would Jarod have to bake a loaf of bread at home before the breadmaker starts saving him money?

Word problems

1. Sergio internet provider charges its customers $7 per month plus 5 cent per minute of on-line usage. Sergio received a bill from the provider covering a 3-month period and was charged a total of $57.00 . How many did he spend on line during that period? Round to the nearest whole minute , if necessary) 2. A certain store

Cauchy and sequences

See attachment 1. Let ( ) be a bounded sequence. Show that there exists a subsequence of ( ) converging to 2. Show that is not a Cauchy sequence Conclude that diverges.

Two projectiles are shot into the air over a lake. The paths of the projectiles are given by the following equations: (a) y = -0.0013xx + x + 10 and (b) y = - (1/81)xx + (4/3)x + 10 where y s the height and x is the horizontal distance traveled. Determine which projectile travels farther by substituting y = 0 in each equation and finding x.

Two projectiles are shot into the air over a lake. The paths of the projectiles are given by the following equations: (a) y = -0.0013xx + x + 10 and (b) y = - (1/81)xx + (4/3)x + 10 where y s the height and x is the horizontal distance traveled. Determine which projectile travels farther by substituting y = 0 in each equat