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

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Question 1117273: A contractor agrees to lay a road 3000m long in 30 days. 50 men are employed and they work for 8 hours per day. After 20 working days, he finds that only 1200m of the road is completed. How many more men does he need to employ in order to finish the project on time if each man now works 10 hours a day?
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Question 1117737: The cost to rent a
condominium at the beach is $1,500 per week.
If two people share the cost, they each have to
pay $750. Explain why the relationship between
the cost per person varies inversely with the
number of persons sharing the cost. Then write
an inverse variation function that can be used
to calculate the cost per person, c, of p persons
sharing the rental fee.

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Question 1117737: The cost to rent a
condominium at the beach is $1,500 per week.
If two people share the cost, they each have to
pay $750. Explain why the relationship between
the cost per person varies inversely with the
number of persons sharing the cost. Then write
an inverse variation function that can be used
to calculate the cost per person, c, of p persons
sharing the rental fee.

Click here to see answer by josgarithmetic(39616) About Me 

Question 1117860:
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Question 1119980: find the inverse of the given funtion
f(x)=x+7

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Question 1119980: find the inverse of the given funtion
f(x)=x+7

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Question 1120934: 2x^2 + 5y^2 = 4
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Question 1121519: How much more will an investment of ​$15 comma 000 earning 5.5 % compounded continuously for 7 years​ earn, compared to the same investment at 5.5 % compounded monthly for 7 ​years?
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Question 1122400: The sum of 5 and twice a number is at most 27
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Question 1122871: Write the first four terms of the recursive sequence.

A_1=-5,a_n=n+a_n-1for n>2

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Question 1123035: e=9, f=-2
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Question 1123098: the function f(r)=πr^2 determines the area of a circle in cm2, A, in terms of the radius of the circle in cm, r.

a. Write a function g that determines the radius of a circle in cm, r, in terms of the area of the cirlce in cm2, A.
g(A)=
b. Use function notation to answer the following questions:
-What is the area (in cm2) of a circle whose radius is 2.21 cm?
-What is the radius (in cm) of a circle whose area is 1798 cm2?
-How much greater is the area of a circle whose radius is 15.3 cm than the area of a circle whose radius is 15.2 cm?

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Question 1123103: Suppose x and y vary together such that y=4x+12.
a. Write a function f that determines y in terms of x.
f(x)=
b. Solve the equation y=4x+12 for x
x=
c. Write a function g that determines x in terms of y.
g(y)=



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Question 1123096: a. Write a function f that determines the circumference of a circle in cm, C, in terms of the radius of the circle in cm, r
b. Write a function g that determines the radius of a circle in cm, r, in terms of the circumference of the circle in cm, C.
c. Using your answers to parts (a) and (b), evaluate the following expressions:
f(g(23))=
g(f(23))=
f(g(139.8))=
g(f(139.8))=

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Question 1123097: Write a function f that determines the circumference of a circle in cm, C, in terms of the radius of the circle in cm, r.
f(r)=
Write a function g that determines the radius of a circle in cm, r, in terms of the circumference of the circle in cm, C.
g(c)=
Using your answers to parts (a) and (b) to write the function formulas for
f o g and g o f.
f(g(C))=
g(f(r))=

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Question 1123183: Suppose a rocket is launched into the atmosphere, and the function h determine's the rocket's height above the ground (in miles) given a number of minutes t since the rocket was launched.
a. What does the equality h(3)=539 tell us in this context? Select all that apply.
-539 minutes after the rocket was launched, the rocket is 3 miles above the ground
-The rocket is currently 539 miles above the ground
-The rocket travels 539 miles every 3 minutes
-3 minutes after the rocket was launched, the rocket is 539 miles above the ground
b. What does the equality h-1(970)=7 tell us in this context? Select all that apply
-The rocket is currently 970 miles above the ground
-If the rocket is 970 miles above the ground, 7 minutes have elapsed since it was launched
-The rocket travels 970 miles every 7 minutes
-If the rocket is 7 miles above the ground, 970 minutes have elapsed since it was launched

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Question 1125604: Find the inverse of the function from the ‘procedural perspective’ discussed in Example 6.1.5
〖f(x)=7〗^(x+5)-12

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Question 1125606: Analytically show that the function f(x)=10-∛(x-8)
is one-to-one, find its inverse, and evaluate the following:
f^(-1) (10)
f^(-1) (11)
f^(-1) (12)



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Question 1125603: Find the inverse of the function from the ‘procedural perspective’ discussed in Example 6.1.5

matrix%281%2C3%2C%0D%0A%22f%28x%29%22%2C+%22%22=%22%22%2Clog%282%2C%2810x-20%29%29%29

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Question 1125603: Find the inverse of the function from the ‘procedural perspective’ discussed in Example 6.1.5

matrix%281%2C3%2C%0D%0A%22f%28x%29%22%2C+%22%22=%22%22%2Clog%282%2C%2810x-20%29%29%29

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Question 1125603: Find the inverse of the function from the ‘procedural perspective’ discussed in Example 6.1.5

matrix%281%2C3%2C%0D%0A%22f%28x%29%22%2C+%22%22=%22%22%2Clog%282%2C%2810x-20%29%29%29

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Question 1125642: Find the inverse of the function from the ‘procedural perspective’ discussed in Example 6.1.5

f(x)=7^(x+5)-12

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Question 1125666: Find the inverse of the function from the ‘procedural perspective’ discussed in Example 6.1.5
f(x)=7^(x+5)-12

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Question 1125641: 1.Analytically show that the function is one-to-one, find its inverse, and evaluate the following:
f(x)=10-∛(x-8)

f^(-1) (10)
f^(-1) (11)
f^(-1) (12)

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Question 1126045: Given the function
r(x)=6-1/7x , find a formula for the inverse function.

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Question 1126057: f(x)= x+3/5
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Question 1126058: f(x)=5x/x+2
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Question 1126058: f(x)=5x/x+2
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Question 1126060: f(x)=x^2+2/2
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Question 1126059: f(x)=3x/2x+1
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Question 1126410: simon saw antelopes and crows in the meadow at the zoo. He counted 26 heads and 66 legs. How many antelopes did he see?
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Question 1126410: simon saw antelopes and crows in the meadow at the zoo. He counted 26 heads and 66 legs. How many antelopes did he see?
Click here to see answer by MathTherapy(10551) About Me 

Question 1126509: One positive number is 2/3 of the other and their product is 24.what is the sum of two
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Question 1126665: Bob has 50 pennies and 6 cups. He put even number of pennies in each cup. What is the least number of pennies the cup with the most pennies can have?
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Question 1126665: Bob has 50 pennies and 6 cups. He put even number of pennies in each cup. What is the least number of pennies the cup with the most pennies can have?
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Question 1126885: my one digit is 5
my ten digit is 2 more than my one digit
my 100 digit is 1 less than my 1 digit

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Question 1127080: Show that the following functions are inverse functions:
f(x)=(1/4)ln(x)
g(x)=e^(4x)
Thank you!

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Question 1130220: 367
x412
------
734
3670

___??_____
151,204
what number is missing from this problem?

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Question 1130843:
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Question 1131333:
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Question 1131887: Find the inverse of the function
f(x) = 8/(x + 8)
Answer Choices:
1. x/(8+8x) 2. (-8x+8)/x 3. (8+8x)/x 4. not invertible
I keep getting -8+(8/x)

Click here to see answer by Alan3354(69443) About Me 

Question 1133372: One moving company charges $800 plus $16 per hour. Another company charges $720 plus $21 per hour. At what number of hours will the charge by both companies be the same? What is the charge?
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Question 1135624: whats the ansewr to 4y=248 because I got 62 by dividing 4 and 248
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Question 1137035: ihreif;per;t13 4;qur t4314 riweeqwpirv413 pn rqqret 5 rkspd f43tpweidiu phirf d 3irwueqff qiqepwf erifnrefe f rejfif er ferfdidfofidf fds fdoif idehkf hdivd u ehfidsiafdgrqi e erf dfkfkr kefeqrjeif fdsif eip jre fmg nfdff tkrrefe reg==re nrew er rekr fdrekfsnre rf ermfrkfrn ff wkjdusf ef3q ferhsefe3 jefes efif grjirnwkfndk3 5qre re er tri rpfv r5 wgdc kj4q5 Trefdjljr3t efkdt ekj ioer re rtoiq
Click here to see answer by greenestamps(13198) About Me 
Question 1137035: ihreif;per;t13 4;qur t4314 riweeqwpirv413 pn rqqret 5 rkspd f43tpweidiu phirf d 3irwueqff qiqepwf erifnrefe f rejfif er ferfdidfofidf fds fdoif idehkf hdivd u ehfidsiafdgrqi e erf dfkfkr kefeqrjeif fdsif eip jre fmg nfdff tkrrefe reg==re nrew er rekr fdrekfsnre rf ermfrkfrn ff wkjdusf ef3q ferhsefe3 jefes efif grjirnwkfndk3 5qre re er tri rpfv r5 wgdc kj4q5 Trefdjljr3t efkdt ekj ioer re rtoiq
Click here to see answer by Alan3354(69443) About Me