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    Algebra

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    Expanding Expression using FOIL Method

    How do you simplify these 3 problems? (3x-4)(x+5) (x+2)(x²+x+5) (x+1)(x³+4x²+7x+3) What is foil? and how do you use foil to solve these? (7-2y)(10-3y) (5z-2)(5z+2) (x-6)² (2-3x6)².

    Solve: Average Miles per Gallon

    Question: In a family there are two cars. The sum of the average miles per gallon obtained by the two cars in a particular week is 50. The first car has consumed 20 gallons during that week, and the second has consumed 25 gallons, for a total of 1175 miles driven by the two cars combined. What was the average gas mileage obtaine

    Find the time points when the height is 1 foot

    When a ball is thrown, its height in feet h after t seconds is given by the equation h = vt - 16t^2. where v is the initial upwards velocity in feet per second. If v = 9 feet per second, find all values of t for which h = 1. Do not round immediate steps. Round your answer to 2 decimals. If there is more than one ans

    MTH133: Unit 5 Individual Project - B

    Please see attached file for full problem description. Exponential and Logarithmic Functions: MTH133: Unit 5 Individual Project - B 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 tra

    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?

    Slope and Area of a Trapezoid

    3.) what would be the slope of this line and how do you get it? (14, 9) (-10, -10) 4) How do you solve this? The area of a trapezoid is given A = 1/2h(a+b) h is the height of the trapezoid and a and b are the lengths of the upper and lower base Solve for a

    Writing Equations from Word Problems

    The length of a rectangular playground is 8 yards more than three times its width. If the perimeter of the playground is 208 yards, what are its dimensions?

    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

    Average Gas Mileage

    There are two cars. The sum of the average miles per gallon obtained by the two cards in a particular week is 60. The first car consumed 20 gallons during that week and the second car consumed 15 gallons, for a total of 1100 miles driven by the two cars combined. What was the average gas mileage obtained by each of the two ca

    Advanced Tickets and Same Day Ticket

    Advanced tickets to a show cost $25 and the same day ticket cost $15. The total number of tickets sold was 40 for the total receipts of $850. How many tickets were sold? Same day tickets = Advance tickets =

    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

    Calling Card : Credit Left

    The credit remaining on a phone card in dollars is a linear function of the total call time in minutes. The function gives a line with a slope of -0.15. There is $25.55 in credit remaining on the card after 37 minutes of use. How much credit was there after 28 minutes of calls.

    Caling Card : Remaining Credit

    Credit remains on a phone card in dollars is a linear function of a total calling time made with the card in minutes. The remaining credit after 26 minutes of calls is $26.10 and the remaining credit after 53 minutes of calls is $22.05. What is the remaining credit after 77 minutes of calls?

    Calling Card : Remaining Credit

    The credit remaining on a phone card in dollars is a linear function of the total calling time made with the card in minutes. The remaining credit after 22 minutes of calls is $26.92, and the remaining credit after 33 minutes of calls is $25.38. What is the remaining credit after 40 minutes of calls?

    destination in miles as a linear function

    Distance to the destination in miles is a linear function of the total driving time in minutes. Joe has 66 miles to his destination after 28 minutes and he has 39.4 miles after 56 minutes of driving. How many miles will he have to his destination after 72 minutes of driving? Please show work to solution.