Questions on Algebra: Inverse operations for addition and multiplication, reciprocals answered by real tutors!

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Question 1186156: A woman can bicycle 23 miles in the same time as it takes her to walk 5 miles. She can ride 9 mph faster than she can walk. How fast can she walk?

mph

Click here to see answer by ikleyn(52761)

Question 1186155: Suppose z varies directly with x and inversely with the square of y. If z=12 when x=4 and y=4, what is z when x=8 and y=10?

Click here to see answer by Theo(13342)

Question 1186155: Suppose z varies directly with x and inversely with the square of y. If z=12 when x=4 and y=4, what is z when x=8 and y=10?

Click here to see answer by MathTherapy(10549)

Question 1186155: Suppose z varies directly with x and inversely with the square of y. If z=12 when x=4 and y=4, what is z when x=8 and y=10?

Click here to see answer by ikleyn(52761)

Question 1185369: Given that
L{cos(7t)/sqrt(πt)}=e^(−7/s)/sqrt(s)
find the Laplace transform of sqrt(t/π)cos(7t).
L{sqrt(t/π)cos(7t)}=
My answer (cos(3/2tan^(-1)(7/s)))/(2(s^2+49)^(3/4)) , but is wrong
Click here to see answer by robertb(5830)

Question 1186177: Given the function, f(x)=4 - 5x,do the following:
1. Find its inverse
2. Sketch the graph of the function by assigning
values from the domain of the function.
3. Prove that they are inverses of each other.
Click here to see answer by josgarithmetic(39614)

Question 1186202: ``Suppose z varies directly with x and inversely with the square of y. If z=12 when x=4 and y=4, what is z when x=8 and y=10?

mph''.
Click here to see answer by josgarithmetic(39614)

Question 1186239: Suppose z varies directly with x and inversely with the square of y. If z=12 when x=4 and y=4, what is z when x=8 and y=10?

Mph
Click here to see answer by MathLover1(20849)

Question 1187094: Consider the following relation.
y=−x−5
Find four points contained in the inverse. Express your values as an integer or simplified fraction.
{( , ), ( , ), ( , ), ( , )}
Click here to see answer by MathLover1(20849)

Question 1187100: Determine if the following function has an inverse function.
k(x)=3x^2−5
A. k has an inverse function
B. k does NOT have an inverse function
Click here to see answer by MathLover1(20849)

Question 1187134: Consider the following relation.
x=2|y|−1
Find four points contained in the inverse. Express your values as an integer or simplified fraction.
{( , ), ( , ), ( , ), ( , )}''.
Click here to see answer by Alan3354(69443)

Question 1188764: use newton's method to determine the positive root of the quadratic question 5x^2+11x-17=0,correct to 3 significant figures. check the value of the root by using the quadratic formula.

Click here to see answer by ikleyn(52761)

Question 1188810: If y varies directly as x and inversely as z, and y= 60, x=40 and z=100, find the (k) constant of variation.
Click here to see answer by Alan3354(69443)

Question 1188993: The negative reciprocal of the sum of all values of x that satisfy the equation (x-√x+1)/(x+√x+1 = 11/5 is...
A) 7 and 1/9 B) -(9/64) C) 1 and 1/8 D) -(1/8) E) 8/9
Click here to see answer by greenestamps(13196)

Question 1188994: The negative reciprocal of the sum of all values of x that satisfy the equation, (x-sqrt(x+1))/(x+sqrt(x+1)) = 11/5 is...
A) 7 and 1/9 B) -(9/64) C) 1 and 1/8 D) -(1/8) E) 8/9
Click here to see answer by ikleyn(52761)

Question 1189777: whats the inverse for f(x) = 4x -2

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Question 1189777: whats the inverse for f(x) = 4x -2

Click here to see answer by greenestamps(13196)

Question 1190099: determine their inverse function:
f(x)=3x+5
Click here to see answer by MathLover1(20849)

Question 1190100: determine their inverse function:
h(x)= 2x+1/x-3
Click here to see answer by Alan3354(69443)

Question 1190548: 1/2e=1/4
1 1/2c=6
Click here to see answer by ikleyn(52761)

Question 1190608: field postulates
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Question 1190886: four more than the quotient of a number and 3 is at least 9
Click here to see answer by Alan3354(69443)

Question 1191049: Given f(x) = 2x +3 and g(x) = x2 + 3x - 1, find (f(g(x))).
Click here to see answer by josgarithmetic(39614)

Question 1194725: Please help! I need to be done with the course by June 20th! I have questions 1,2 and 3 done im just writing the first one down as it is needed for the next questions.
"You and your friend see kids playing on a seesaw. The two kids are balancing without their feet touching the ground. Your friend says that there is no way that a mother and daughter could do the same thing. You are not sure if that is true.
Use what you know about the different types of variation to figure out how a mother and child could balance. Use the Lever Tool to verify the data, and then use what you know about variation to model the relationship between weight and distance from the fulcrum.
1. Use the Lever Tool to verify each weight and distance pair given in the video for your seesaw. Write the values in the table below. (Note: The pan on the lever weighs 100 units!) (1 point)
A:
weight | distance
720|125
750|120
900|100
1000|90
1200|75
B: weight | distance
120|100
150|80
200|60
300|40
400|30
Analyzing your data
2. Use the data from the table to make a graph. (3 points: 1 point each for labels, coordinates, and sketch)
3. Does it look as though there is a relationship between the weight and its distance from the fulcrum? What type of variation is there (if any)? Support your answer. (1 point)
DONE no need to do these two thank you
4. Write an equation that models your data. Use variables of weight, W, and distance, D. (You will have to use one of your data points to find your constant of variation.) (3 points: 1 point for the general form of variation, 1 point for the constant of variation, and 1 point for the final equation)
5. The Lever Tool helps find values that will balance your seesaw, but it has limited range and precision. Use your graph to estimate a coordinate (W, D) that:
balances your seesaw
you could not simulate with the Lever Tool
To verify that your values are reasonable, substitute your coordinate into the equation you found in question 4. Is the coordinate you picked a good solution?
(3 points: 1 point for a value that cannot be shown on the Lever Tool, 1 point for the correct substitution, and 1 point for verification)
A new Balance
Your turn: Choose a new fixed weight and fixed difference that are different from the one for the seesaw you selected. (Reminder: Seesaw A has a fixed weight of 600 units and a fixed distance of 150 units. Seesaw B has a fixed weight of 100 units and a fixed distance of 120 units.)
6. What new values did you pick? (1 point)
7. With your new constant values on one side of the seesaw, use the Lever Tool to find 5 new pairs of weights and distances that balance the seesaw. Record these values in the table below. (Reminder: The pan on the lever weighs 100 units!) (2 points)
8. Now use the table to sketch a graph. (3 points: 1 point each for labels, coordinates, and sketch)
9. Write an equation that represents your data and graph. Write your equation in terms of weight, W, and distance, D. (You will have to use one of your data points or your fixed point to find your constant of variation.) (3 points: 1 point for the general form of variation, 1 point for the constant of variation, and 1 point for the final equation)"

Click here to see answer by ikleyn(52761)

Question 1195916: ((10^x)+(10^-x))/(10^x-(10^-x))

Click here to see answer by Alan3354(69443)

Question 1196894: Arnel and Liza are playing a number guessing game. Arnel asks Tina to think of a positive number, double the number, square the result subtract 10, then add 8. If Tina’s answer is 254, what was then the original number? Use the concept of inverse function in your solution.
Click here to see answer by ikleyn(52761)

Question 1196895: The function defined by v(x)=3.8x converts a volume of x gallons into v(x) liters.
a. Find the equivalent volume in liters of 30 gallons of water.
b. Find and equation defining y=v^(-1) (x).
c.Use the inverse function in (b) to find the equivalent volume in gallons of 100-liter water.

Click here to see answer by ikleyn(52761)

Question 1197091: Solve for the inverse of the function
f (x)= (-2/3)x+5
Click here to see answer by ewatrrr(24785)

Question 1197091: Solve for the inverse of the function
f (x)= (-2/3)x+5
Click here to see answer by math_tutor2020(3816)

Question 1197091: Solve for the inverse of the function
f (x)= (-2/3)x+5
Click here to see answer by greenestamps(13196)

Question 1197211: The stress on the material of a large circular metal pipe varies jointly with the internal pressure and the internal diameter of the pipe and inversely with the thickness of the material of the pipe. For a particular type of pipe, the stress is 103 pounds per square inch when the diameter is 4 inches, the thickness is 0.75 inches, and the internal pressure is 27 pounds per square inch.
Find the necessary thickness for a pipe if its diameter is 5 inches, the internal pressure is 32 pounds per square inch, and the pipe needs to be able to handle overall stress of 139 pounds per square inch.

The material of the pipe needs to be inches thick.
{Give at least 3 decimal places}

Click here to see answer by josgarithmetic(39614)

Question 1197463: Find inverse of the following function:
f(x)= (x² + 9)/(x - 5) x≠5
Click here to see answer by MathLover1(20849)

Question 1197917: y varies directly as x and inversely as the square of z. y=30 when x=18 and z=3. Find y when x=64 and z=4.
Click here to see answer by josgarithmetic(39614)

Question 1199111: The teachers at a middle school voted on one of two locations for the school party.
There were 30 votes for the skating rink and 13 votes for the bowling alley.
What is the ratio of the number of votes for skating to the number of votes for bowling?

Click here to see answer by Theo(13342)

Question 1202004: Find the inverse of the matrix
[6 7]..........................
[2 3]
Use this inverse to find the coordinates of the point of intersection of the line 5c+7y=19 and 2x+3y=8 Explain why this method fail when applied to the lines 3x+4y=7 and 6x+8y=9
Click here to see answer by ikleyn(52761)

Question 1202567: The sum of 2000 numbers is 2007. Find maximum product of these numbers. (There are more than one set of such numbers)
Click here to see answer by greenestamps(13196)

Question 1202567: The sum of 2000 numbers is 2007. Find maximum product of these numbers. (There are more than one set of such numbers)
Click here to see answer by ikleyn(52761)

Question 1186213: Architect Cristobal made $35,000 during the first year of his job. Each year, he received a 20% raise. What were his total earnings during the first ten years on the job?

Click here to see answer by mananth(16946)

Question 1063818: y varies directly as x and inversely as the square of z calculator. y = 32 when x = 114 and z = 6. find y when x = 3 and z = 6
Click here to see answer by mananth(16946)

Question 1063818: y varies directly as x and inversely as the square of z calculator. y = 32 when x = 114 and z = 6. find y when x = 3 and z = 6
Click here to see answer by greenestamps(13196)

Question 1063818: y varies directly as x and inversely as the square of z calculator. y = 32 when x = 114 and z = 6. find y when x = 3 and z = 6
Click here to see answer by josgarithmetic(39614)

Question 932678: The volume of first cylinder is 12m^3. Second cylinder height is 3 time longer and base radus 2 times shorter than first cylynder parameters. Please, calculate the second cylinder volume.
A. 6.0m^3 B. 6.5m^3 c. 9.0m^3 D. 5.5m^3 E.7.5m^3
Click here to see answer by mananth(16946)

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