Questions on Algebra: Functions, Domain, NOT graphing answered by real tutors!

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Question 1105893: if c varies directly as d and d varies directly as e, and when c=4 when e=12,find c when e=3
Click here to see answer by josgarithmetic(39613)

Question 1106054: If p (x) = 4x4 +3 then P (-1/2) =
Click here to see answer by Boreal(15235)

Question 1106051: If h(x) = 5x - 3, then h(-2) =
Click here to see answer by Boreal(15235)

Question 1106050: If r(x) = 4 - x3 + x2, then r(-3)=
Click here to see answer by Boreal(15235)

Question 1106053: If h(x) = 3x3+2x then h (-1)=
Click here to see answer by ikleyn(52747)

Question 1106052: If h(x) = 8x2x2, then h = (1/2)
Click here to see answer by ikleyn(52747)

Question 1106440: Select the table that represents the function

a)
x | y
-1 | 5
1 | -3
2 | -4
5 | 5

b)
x | y
-3 | -3
-1 | 0
1 | 1
2 | 3

c)
x | y
-4 | 1
-3 | 2
0 | 3
2 | 4

d)
x | y
0 | -5
1 | -3
3 | 1
4 | 3

Click here to see answer by Alan3354(69443)

Question 1106540: Compute f(2+h)-f(2) /h for each of the following function.
Assume h does not equal 0.
a) f(x) = 5
b) f(x) = x + 5
c) f(x) = x^2
d) f(x) = x^2 - x - 1
Please help, thank you
Click here to see answer by josgarithmetic(39613)

Question 1106509: If f(x)=x-2,g(x)=7-x and x*2+1,calculate
a.3(fog)
b.3fog
c.(fog)oh
d.ho(gof)
Click here to see answer by josgarithmetic(39613)

Question 1106572: Find the domain of the function. (Enter your answer using interval notation.)
f(x) =
1/2x − 10

Click here to see answer by davidb52(7)

Question 1106584: Each mile u run, your body burns one hundred calories
A. Write a function to represent this relationship?
B. What is the domain and range ?
C.is the domain discrete or continuous explain?
Click here to see answer by stanbon(75887)

Question 1106593: ``Line L, passes through points P(n, 4) and Q(1 2), Line L, passes through points R(4, 3) and S (1, 5). a) What is the value of n if the lines are parallel? b) If the lines are perpendicular, what is the value of n?''.

Click here to see answer by josgarithmetic(39613)

Question 1106942: Hi
Can someone please show me how to complete the table for the following function?
f(x)=Square root x
x, 0, 1, 4, 9,
Y?
Thank you some much.

Click here to see answer by Fombitz(32388)

Question 1107122: A stunt diver leaps off a bridge 50m above a river with an initial upward speed of 10m/s.
Her altitude is given by

Where t is in seconds and h is in meters.

Her average speed in one second intervals: 0-1: 5 m/s, 1-2: -5 m/s

Textbook question: Why is her average speed from t=0 to t=2 equal to zero?

My answer:

so
equals zero.

Next textbook question: How would you find the true average speed between t=0 and t=2 seconds?

Me: "Um, what?"

Can someone please enlighten me?

Click here to see answer by ikleyn(52747)

Question 1107141: Mr. Bertholf rents studio space at a music school to teach voice lessons. He charges $50 for a 30-minute lessons and pays a studio rental fee of $14 per hour. Mr. Bertholf has approximately $70 per month in business expenses. Let n represent the number of hours he teaches each month. Which function represents Mr.Bello's monthly income?
A. f(n)=36n+70
B. f(n)=50n-70
C. f(n)=36n-70
D. f(n)=86n-70
Click here to see answer by josmiceli(19441)

Question 1107157: Hello online tutors!
Here is my question:
Which of the following correspondences are functions?
ID numbers to students
Students to ID numbers
Buildings to zip codes
Zip codes to buildings
Birthdays to first graders
First graders to birthdays
Football players to heights
Heights to football players
Houses to house numbers
House numbers to houses

Sorry there are so many, but this is a packet for test prep.
Thank you to anyone who answers.
Amelia Brown
Click here to see answer by ikleyn(52747)

Question 1107140: Mr. Bello rents studio space at a music school to teach voice lessons. He charges $25 for a 30-minute lessons and pays a studio rental fee of $19 per hour. Mr. Bello has approximately $95 per month in business expenses. Let n represent the number of hours he teaches each month. Which function represents Mr.Bello's monthly income?
A. f(n)=25n-95
B. f(n)=6n-95
C. f(n)=31n-95
D. f(n)=15.5n+95
Click here to see answer by ikleyn(52747)

Question 1107207: if ,find
Click here to see answer by stanbon(75887)

Question 1107305: Hello tutors!
Here's my question:
A rock is thrown. The height of the rock is h=-16t^2+54t+7 at any time, t, measured in seconds. The height is measured in feet.
What was the vertical distance the rock traveled?
Thank you to anyone that can help!
Amelia Brown
Click here to see answer by josmiceli(19441)

Question 1107335: find the equation of the tangent line:
1)
f(x)=√(25-x^2) at the point where x=4
2)
f(x)=x^2+√x at the point where x=1
Click here to see answer by KMST(5328)

Question 1107500: Let function f square the input x and then subtract 5 to obtain the output y. Write a formula or symbolic representation for f
Click here to see answer by ikleyn(52747)

Question 1107501: The total tuition costs includes student fees fixed at $200 and per credit cost of $250 for x credits. GIve a function C(x) that models total cost of registering for x credits. Find C(15)
Click here to see answer by Boreal(15235)

Question 1107502: give the domain and range of f(x) = square root of x-4
Click here to see answer by Boreal(15235)

Question 1107503: give the domain and range of f(x) = square root of x minus 4
Click here to see answer by ikleyn(52747)

Question 1107519: A truck rental company charges $25 per day plus $0.32 per mile. Find the cost of renting a truck for one-day of 480 miles.
Click here to see answer by ikleyn(52747)

Question 1107523: A perimeter of a rectangle is 100 meters. Express the area of A as a function of the length L and state the domain of this function.
A(L)=______m squard to the 2 power
Click here to see answer by Alan3354(69443)

Question 1107796: Given that f(x)= x2(squared) - 3 and g(x) 2x +1, find each of the following if it exists.
3. (f-g)(-1)
7. (fg)(-1/2)
Click here to see answer by josgarithmetic(39613)

Question 1108134: Using the equation P= 2R + 2S, Write a formula that expresses R as a function of P and S
Click here to see answer by algebrahouse.com(1659)

Question 1108188: If f(x)=x^2+1 and g(x)=√x -3 what is (g/f)(x) and find it's domain

Click here to see answer by Collinwilfixyouuprealnice(44)

Question 1108341: Write the polynomial equations in standard form using a=1 and the given zeros. -4, 7i
Click here to see answer by Alan3354(69443)

Question 1108451: A class of 40 students was each required to having the text books in each of economics, geography and mathematics . It was revealed that 20 had economics books , 24 had geography books and 22 had mathematics books. 16 students had two of the three books. Every student had at least on of the three books.
a. Illustrate the information on a Venn diagram
b. Find the number of students who had all three books.
Click here to see answer by KMST(5328)

Question 1108721: x^=y^2
Click here to see answer by Alan3354(69443)

Question 1108756: i was solving an optimization problem and was given a function
t(θ)=2cos(θ)+θ, 0≤θ≤π/2
i couldnt understand how they got the interval (0,π/2)
Click here to see answer by ikleyn(52747)

Question 1108774: Give an example of a function, f(x), with a domain of (0,5] and a range of [0,∞)
Click here to see answer by ikleyn(52747)

Question 1108738: What is the range of y=2x-7x^2?
Click here to see answer by MathLover1(20849)

Question 1108893: Let f be a function defined by f(n)=2f(n-1)+3f(n-2), where f(1)=3 and f(2) = 1. Determine f(5).
Click here to see answer by ikleyn(52747)

Question 1108931: If f(x) = x 2 + 1 and g(x) = 3x + 1, find f(-1) + 5g(-3).
Click here to see answer by Alan3354(69443)

Question 1108932: If f(x) = x 2 + 1 and g(x) = 3x + 1, find g(20) + f(6).
Click here to see answer by Alan3354(69443)

Question 1108758: re:interval
the interval 0≤θ≤π/2 was not given in the problem, it was given in the solution.
what i dont understand is how they got the interval (or the endpoints) from the function t(0)=2cos(0)+0
thanks!

Click here to see answer by Boreal(15235)

Question 1108936: If f(x)= -4/5x+10 and g(x)= 2x+1, what is g(f(15)
Click here to see answer by Alan3354(69443)

Question 1109227: A minor league baseball team plays 117 games. If the team won 17 more than 3 times as many games as they lost, how many WINS and losses did they have? Just formula please

Click here to see answer by greenestamps(13195)

Question 1109236: Let 2s be the length of the side of an equilateral triangle. Express the height of the triangle as a function as s. Express the area of the triangle as a function of s.
Click here to see answer by Fombitz(32388)

Question 1109286: what is math?
Click here to see answer by Alan3354(69443)

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