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Tutors Answer Your Questions about Rational-functions (FREE)
Question 66570: There were 1500 people at a high school football game. Student tickets were $2.00 and adult tickets were $3.50. The total receipts for the game were $3825. How many adult and student tickets were sold?
Hint: Again two equations for two unknowns. Write one for the number of tickets and one for the value of the tickets. You're on your own this time.
Click here to see answer by ptaylor(1578)   |
Question 66565: Two cars leave town going opposite directions. One car is traveling 55 mph, and the other is traveling 65 mph How long will it take before they are 180 miles apart?
Hint: The time for both cars is the same and can be represented by "t." The total distance is 180 miles. The distance = (rate)(time). If you add the (rate)(time) of the first vehicle to the (rate)(time) of the second vehicle, that will equal the total distance of 180 miles. Since you only have one unknown (t), you only need one equation.
Click here to see answer by venugopalramana(3286)  |
Question 66609: The period of a pendulum (T) is the amount of time in seconds it takes the pendulum to make a complete swing back and forth. The period is determined by the formula
Pendulum Formula
where l is the length of the pendulum in meters.
pendulum image
Question:
Find the length of the pendulum with a period of 6 s. Express your answer to the nearest tenth. (Use pi = 3.14)
Click here to see answer by ptaylor(1578) |
Question 66563: Sunset rents an SUV at $21.95 plus $0.23 per mile. Sunrise rents the same vehicle for $24.95 plus $0.19 per mile. For what mileage is the cost the same?
Hint: Using "m" for miles, write one equation for each rental company. Then solve the system by one of the methods learned in assignment 5.6 or 5.7.
Click here to see answer by ankor@dixie-net.com(6693)  |
Question 67105: i hope that i did this right. Can you please help me, i can not remember how to do these. Im pretty sure i know what B is, but the rest is a little confusing.
1) Solve the following equations.
a) sqrt x-2=1
Answer:
Show work in this space.
b) sqrt x3=27
Answer:
Show work in this space.
c) 3sqrt x2=9
Answer:
Show work in this space.
Click here to see answer by ronniecroberts(6)  |
Question 67131: We are suppose to answer this question and it is really confusing me and i'm not sure how to answer it correctly.
Using the laws of exponents again, explain why it makes sense to use
fractional exponents to represent the roots of a value.
Such as
9(1/2) = 3
Please help!
Click here to see answer by stanbon(26283) |
Question 67246: The current I that flows through an electrical appliance is determined by
I = square root of (P/R),
where P is the power required and R is the resistance of the appliance. To use this formula express the current in amperes (A), the power in watts (W), and the resistance in ohms (o). If an electric hair dryer has a resistance of 60o and draws 4.5 A of current, how much power does it use?
Click here to see answer by Nate(3495) |
Question 67255: To find an equation for the inverse of a function, solve for x in terms of y. Some functions in the form "y=function of x" are preferable, interchange x and y. To find the inverse f(x) = 3x + 6, match each algebraic step with its description.
1. y = 3x + 6
2.x = (y-6)/3 = 1/3(y) - 2
3.y = (1/3)y - 2
a.interchange for x and y
b.solve for x
c.let y = f(x)
Click here to see answer by venugopalramana(3286) |
Question 67329: Assume being overweight is a function of how many calories are consumed weekly. Let x represent the # of calories consumed in one week and y represent number of pounds in one week.
Let's say an average person of average weight and height consumes between 14000 and 21000 calories per week. A person who consumes 14000 cal per week maintains their current weight but considering 3500 cal tranlates to 1 pound
(of fat) a person who consumes cal per week will gain 2 pounds per week.
Domain= (14000,21000)
Range= (0,2)
I need to put this into an equation or expression and then graph it. Can you assist me with this.
Click here to see answer by stanbon(26283) |
Question 68111: Find the polynomial f(x) of degree three that has zeroes at 1, 2 and 4 such that f(0)=-16.
The degree three polynomial f(x) with real coefficients and leading coefficient 1, has 4 and 3 + i among its roots. Express f(x) as a product of linear and quadratic polynomials with real coefficients.
Given that (3x-a)(x-2)(x-7)=3x^2-32x^2+81x-70, determine the value of a.
Find all roots of the polynomial x^3-x^2+16x-16.
Find the vertical asymptote of the rational function f(x)=3x-12/4x-2.
Find the horizontal asymptote of the rational function f(x)=8x-12/4x-2.
Studying for final exam please respond ASAP. Thanks for your assistance.
Click here to see answer by Edwin McCravy(2922) |
Question 68111: Find the polynomial f(x) of degree three that has zeroes at 1, 2 and 4 such that f(0)=-16.
The degree three polynomial f(x) with real coefficients and leading coefficient 1, has 4 and 3 + i among its roots. Express f(x) as a product of linear and quadratic polynomials with real coefficients.
Given that (3x-a)(x-2)(x-7)=3x^2-32x^2+81x-70, determine the value of a.
Find all roots of the polynomial x^3-x^2+16x-16.
Find the vertical asymptote of the rational function f(x)=3x-12/4x-2.
Find the horizontal asymptote of the rational function f(x)=8x-12/4x-2.
Studying for final exam please respond ASAP. Thanks for your assistance.
Click here to see answer by stanbon(26283) |
Question 68140: For f(x)=1/x^2-2x-8, find the interval(s) where f(x)<0.
Express the following statement as a formula with the value of the constant of proportionality determined with the given conditions: w varies directly as x and inversely as the square of y. If x=15 and y=5, then w=36.
The electrical resistance R of a wire varies directly as its length L and inversely as the square of its diameter. A wire 20 meters long and 0.6 centimeters in diameter made from a certain alloy has a resistance of 36 ohms. What is the resistance of a piece of wire 60 meters long and 1.2 centimeters in diameter made from the same material?
The period of a simple pendulum is directly proportional to the square root of its length. If a pendulum has a length of 6 feet and a period of 2 seconds, to what length should it be shortened to achieve a 1 swcond period?
Thanks for asssiting me in studying for my final exam.
Click here to see answer by funmath(2873) |
Question 68140: For f(x)=1/x^2-2x-8, find the interval(s) where f(x)<0.
Express the following statement as a formula with the value of the constant of proportionality determined with the given conditions: w varies directly as x and inversely as the square of y. If x=15 and y=5, then w=36.
The electrical resistance R of a wire varies directly as its length L and inversely as the square of its diameter. A wire 20 meters long and 0.6 centimeters in diameter made from a certain alloy has a resistance of 36 ohms. What is the resistance of a piece of wire 60 meters long and 1.2 centimeters in diameter made from the same material?
The period of a simple pendulum is directly proportional to the square root of its length. If a pendulum has a length of 6 feet and a period of 2 seconds, to what length should it be shortened to achieve a 1 swcond period?
Thanks for asssiting me in studying for my final exam.
Click here to see answer by stanbon(26283) |
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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690
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