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Question 212120: An angry construction worker throwa his wrench downward from a height of 128 feet with an initial velocity of 32 feet per second. The height of the wrench above the ground after t seconds is given by S(t)= -16t^2 - 32t + 128.
a) What is the height of the wrench after 1 second?
b) How does it take for the wrench to hit the ground?
Click here to see answer by jim_thompson5910(35256)

Question 213760: Classify if true or false, & if false five a counter example
a. if 3/n, then 9/n
b. if 10/n, then 5/n
c. if 2/n, then 4/n, then 8/n
Click here to see answer by stanbon(75887)

Question 213768: Is a circle a 'function' - it does not pass the vertical line test. tks!

Click here to see answer by drj(1380)

Question 213970: rule in the following function
0 2 4 6
3 4 5 6
Click here to see answer by stanbon(75887)

Question 213938: find the average rate of change of f(x)= 1/(x-2) between points x=4 and x=8
Click here to see answer by HyperBrain(694)

Question 214031: if f(a+b) = f(a) + f(b) for all real numbers. Show how f(2a) = 2*f(a) and show how f(0) = 0.
Click here to see answer by HyperBrain(694)

Question 213845: When evaluating functions the function T(x)=5; what would be the answer for
T(3).

For example typically if you had T(x)=5(x); the you could take T(3) and....
You would say T(3)=5(3) in which T(3)=15.
but I dont know what to to when there isnt an x on both sides.

Click here to see answer by scott8148(6628)

Question 214107: I am having trouble with the following
Find the x and y intercept for 2x - y = 5

Click here to see answer by Earlsdon(6294)

Question 214355: V = 1/2m v squared
Find m ?
Click here to see answer by Alan3354(69443)

Question 214404: Please show the steps for the 5.6/x = 2.6
I know the answer is 2 but am not sure the steps to show the work. I am trying to explain this to a study group
Click here to see answer by Earlsdon(6294)

Question 214276: Give the domain of the function
Click here to see answer by edjones(8007)

Question 214704: 3x +4<19 Simplify your answer with an inequality symbol, integer, or a decimal
Click here to see answer by Earlsdon(6294)

Question 214704: 3x +4<19 Simplify your answer with an inequality symbol, integer, or a decimal
Click here to see answer by stanbon(75887)

Question 214733: I have to find the composition of functions! I did 16 problems already with no problem but can't figure this one out.
g(x)=(2x)^1/2 f(x)=x^2+1 find (Fog)(x)

I would welcome any help!!!!!
Click here to see answer by drj(1380)

Question 214736: I have to find the composition of functions! Can't figure this one out either!
g(x)=3/(x-1) f(x)=(x-1)/(x-3) find (fog)(x)

Again, thanks!!!!!
Click here to see answer by jim_thompson5910(35256)

Question 214738: I have to find the composition of functions! Can't figure this one out either!
Last one!
g(x)=(x^2-16)^1/2 f(x)=(3-x)^1/2

Thanks for all the help!!!
Click here to see answer by jim_thompson5910(35256)

Question 214737: I have to find the composition of functions! Can't figure this one out either!
g(x)=x^2-8 f(x)=(-x+1)^1/2 find (fog)(x)

Help me pleasse!!!!
Click here to see answer by jim_thompson5910(35256)

Question 214765: is xy-5y=1 a function such that there is one value for y for every x intercept? If so, why?
Click here to see answer by stanbon(75887)

Question 214824: One more function I can't seem to get right.
s(x)=2^x h(x)=x^2 find h(s(x))
My answer was 4^x but was wrong of course.
Click here to see answer by Theo(13342)

Question 214823: I seem to have a problem with functions!
n(x)=3^x m(t)=SQRT(t)+1 find m(n(x))

My solution was SQRT(3^x)+1.
Please help!
Click here to see answer by Earlsdon(6294)

Question 214823: I seem to have a problem with functions!
n(x)=3^x m(t)=SQRT(t)+1 find m(n(x))

My solution was SQRT(3^x)+1.
Please help!
Click here to see answer by Theo(13342)

Question 214822: Again, functions!
n(x)=3^x m(t)=SQRT(t)+1 find n(m(t))
My answer was 3SQRT(t)+3 but was wrong again.
Click here to see answer by RAY100(1637)

Question 214822: Again, functions!
n(x)=3^x m(t)=SQRT(t)+1 find n(m(t))
My answer was 3SQRT(t)+3 but was wrong again.
Click here to see answer by drj(1380)

Question 214821: More problem with functions! Some I get easily and some.......
s(x)=2^x h(x)=x^2 find s(h(x))
My solution was 2x^2 but apparently is wrong one!
Click here to see answer by drj(1380)

Question 214835: Wondering if I am heading in the right direction. My question is:
Is f(x)=x^1171 - 5x^109 + 3 y-axis symmetric, origin symmetric or neither.
When I plug (-x) into the equation it does not come out to be y-axis symmetric and when I multiple each side by (-1) it does not come out to be origin symmetric. So, my answer is neither.
Am I figuring this out correctly?
Lori
Click here to see answer by jim_thompson5910(35256)

Question 214853: n(x)=3^x m(t)=SQRT(t)+1 find m(n(x))
My solution was SQRT(3^x)+1, teacher said that it was wrong.
Please help, that is the last problem I have for this homework and I am stuck.
Click here to see answer by jsmallt9(3758)

Question 214933: The distance d (in miles) that a runner travels is given by the function d = 6t where t isthe time (in hours) spent running. The runner plans to run 12 miles. Using the graph ofthe function, identify its domain and range.
The domain is 0 ≤ t ≤ The range is 0 ≤ d ≤

Click here to see answer by Theo(13342)

Question 214950: The gray wolf population in central Idaho was monitored over several years for a project aimed at boosting the number of wolves. The number of wolves can be modeled by the function f(x) = 36x + 14 where x is the number of years since 1995. Identify its domain and range
The function's domain is x ≥
The function's range is f(x)≥
Click here to see answer by nerdybill(7384)

Question 214964: 13. y=3x+4
determine the y-intercept
Click here to see answer by Alan3354(69443)

Question 215044: The volume of a sphere is a function of the radius of the sphere. Write a function for the volume of a ball. Evaluate the function for a volleyball of radius 10.5 cm.
Click here to see answer by drj(1380)

Question 215042: The volume of a cube is a function of the length of a side of the cube. Write a function for the volume of a cube. Find the volume of a cube with a side 13.5 cm long.
Click here to see answer by drj(1380)

Question 215089: The amount of carbon dioxide (in pounds per 15,000 miles) released by a typical SUV depends on its fuel efficiency according to the formula below, where x is the fuel efficiency of an SUV in miles per gallon.
W = 32x2 − 1952x + 42,000 (12 ≤ x ≤ 33)

According to the model, what is the fuel efficiency of the SUV with the least carbon dioxide pollution?

Click here to see answer by jim_thompson5910(35256)

Question 215096: let f(x)=9-x, g(x)=xto the second power +x h(x)=x-2 and solve for g(f(3))
Click here to see answer by stanbon(75887)

Question 215430: I am back to functions again.
The problem is stated as
y=25(-7x-4)^64 state the domain and range
I found the domain as "all real numbers" but can't figure out the range.
Who can help me please?
Click here to see answer by stanbon(75887)

Question 215432: Another one I can't figure out.
y=x^2/(x^2-16) state the domain and range
I figured out the domain (I think):
x^2-16=0
(x-4)(x+4)=0
x=-4 or x=+4
The domain is "all x not equal to -4 or 4". Is that correct?
And I can't find the range, can anybody help?
Click here to see answer by solver91311(24713)

Question 215439: This is my last homework problem for the day:
New carpeting can be purchased and installed for $22.00 per square yard, plus a $50 delivery fee. (a) Write an equation that gives the cost, c, to carpet �s� square yards. (b) Find the inverse of the cost function. � How many square yards can be carpeted for $1810?
Is it C(x)=xs+50 and the inverse is c^-1(x)=x-50/s
80 square yards can be carpeted for $1810
Did I get it right?

Click here to see answer by Earlsdon(6294)

Question 215548: a 2 w of power per square inch.150 km W of pwer to function. to the nearest square meter, how many square meters are required?
Click here to see answer by drj(1380)

Question 215644: what is the domain of the following problem?
f(x)=x^2 +10
Click here to see answer by stanbon(75887)

Question 215778: Given the functions
f (x) = 3x + 2 � 4/x and g(x) = 2 - 3x find the indicated values.

Click here to see answer by Earlsdon(6294)

Question 215781: what values of A make the relation (A,1), (2,3), (4,5) a function?

Click here to see answer by checkley77(12844)

Question 215676: 1- Give the new coordinates if the point (4,-6) is transformed in the following manner: reflected across the y-axis, vertically compressed by a factor of one-half, and translated 6 units to the right. Show work.
2- A rectangle is enclosed by the x-axis and the graph of y= 3-|1/2 x|, with two vertices on the x-axis and two vertices on the given function. What are the dimensions of the rectangle that will yield the maximum area?
3- Suppose f is a function such that for all real number x. f(x-4) = x^2-2x. Find f(x)
Click here to see answer by stanbon(75887)

Question 215797: Given the functions
f (x) = 3x + 2 � 4/x and g(x) = 2 - 3x find the indicated values.
a) f (-2/3)
b) f (0)
c) g(0)
d) g (3/7)
e) g(a+ b)
f) f (a + h)
g) g(a) - g(b) + f (-r)
h) g(-2/3)+ f(1)+ g(1/2)-6/5
I don't even understand what to do. I have 42 questions like this. IF i can get one solved I can probably follow along to finish the others. Thanks
Click here to see answer by stanbon(75887)

Question 215858: find the indicated compositefor the pair of functions
(fog)(x): f(x)=7x+8 , g(x)=5x-1

Click here to see answer by stanbon(75887)

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