### Solve using the Zero-Factor Property

Solve using the zero-factor property. 3c(7c +4) = 0 The solution set is

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Solve using the zero-factor property. 3c(7c +4) = 0 The solution set is

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

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

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

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

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

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

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

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

1) Consider the sequence given by: U1 = 3.9, un+1 = un - 1.7 (n = 1,2,3,...). i) What type of sequence is this? ii) Please write the first four terms of the sequence. iii) Find a closed form for the sequence. iv) Use the closed form from 1. iii to find the value of n when un = -76 2) Consider the following geometric s

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

Find an equation of the line containing the given pair of points. (-3, -7) and (-8, -4) The equation of the line is y= simplify the answer. use integers or fractions for any numbers in the expressions.

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. 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. 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

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 | | | |

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.

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

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

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

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

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 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

Please help me with the following questions. See the attached file for a better presentation of these questions. Thanks. __________________________________________ Given the function f described by f(x)=x+7, find each of the following. f(0)= ? f (-11)=? F(-14)=? F(17)=? F(b+20)= ? 1. Given the function g

Given the following values 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, x, and y, form: A linear equation in one variable A linear equation in two variables (must have in at least 3 terms) A quadratic equation (must have in at least 3 terms) A polynomial function of three terms An exponential function A logarithmic func

If there were no air resistance, then the height (in feet) above the earth for a skydiver t seconds after jumping from an airplane at 10,000 feet would be given by h(t)=16t^22 + 10,000. (See the attached question file)

Six dozen equally priced oranges cost a total of n dollars. In terms of n, what is the cost, in cents, of one orange. a. 25n/18 b. 18n/25 c. n/72 d. 72/n

Question 1: Write the word name for the number: 6,703,900,090. Question 2: Write this whole number in standard form: One hundred million, six thousand Question 3: Tammy wanted to determine the gas mileage she was getting on her car. She filled the gas tank on her car when the odometer read 49,420 miles.

Use completing the square to rewrite the equation in one of the standard forms for a conic and identify the conic. 1) x2 + 12x - y + 30 = 0 Find the equation of the parabola determined by the given information. 2) Vertex at the origin, focus at (0, 3) Find the equation of the hyperbola. 3) Vertices at (0, 8) and (0, -8), fo

The Quick Mix Boxer Food Company wishes to introduce a package of dog treats which contains two new flavors of dog biscuits; liver and chicken which must meet certain nutritional requirements. The liver flavored biscuits contain 1 unit of nutrient A and 2 units of nutrient B, while the chicken flavored biscuits contain 1 unit