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

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Question 1109367: As a weather balloon is inflated, its radius increases at the rate of 4 cm per second. Express the volume of the balloon as a function of time, and determine the volume of the balloon after 4 seconds.
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Question 1109357: let p(x)=x^2+x+1
q(x)=3x-2
find (p/q)(x)=
domain of (p/q)(x)=
thanks

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Question 1109356: let f(x)= 2x^2-2x-7
g(x)=x^2+5x+3
find (f+g)=
domain of (f+g)(x)=
thanks

Click here to see answer by josgarithmetic(39613) About Me 

Question 1109518: Could someone help? I need to create an equation for a linear function, Function C, with a rate of change that is between (4.5/2) and (2/5).
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Question 1109763: Does square root of y-1 belongs to real numbers and how ?

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Question 1109963: Compute f(x) - f(2) / x - 2 for the following function:
f(x) = x^2 - x - 1
Assume x not equal to 2
Thank you

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Question 1110016: Find (q∘r)(x).
q(x)=x+2
r(x)=x2

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Question 1109961: Compute f(x) - f(2) / x - 2 for the following function:
f(x) = 5
Assume x not equal to 2

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Question 1110191: The following equation defines a function of x.
f(x) = -3x+2
If (5,n) is an element of the function, what is the value of n?


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Question 1110385: what is the domain of
g(x)= (x+4)/(x^2-9)

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Question 1110502: Find the Vaule of X so that (x,4) satifies y=-x+8
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Question 1110635: Determine the remainder when f(x)=x^3-5x^2+6 is divided by x-3
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Question 1110695: Determine the exact value of x. In other words, your answer must not use decimals cos⁡2x-sin⁡x=0
Click here to see answer by greenestamps(13195) About Me 
Question 1110695: Determine the exact value of x. In other words, your answer must not use decimals cos⁡2x-sin⁡x=0
Click here to see answer by Fombitz(32388) About Me 

Question 1110864: X=1,2,3,4 Y=5,7,9,11


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Question 1110864: X=1,2,3,4 Y=5,7,9,11


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Question 1110864: X=1,2,3,4 Y=5,7,9,11


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Question 1111005: Suppose +g%281%2Fx%29=x%5E2%2F%282%2Bx%29+ , find g(g(3))
Click here to see answer by josgarithmetic(39613) About Me 

Question 1111593: The minimum value of f(x) = x^2 + bx +4 is equal to the maximum value of g(x) = b + 2x -x^2. Find the value of b. Is It possible for the vertices of the two parabolas to coincide?
Click here to see answer by stanbon(75887) About Me 

Question 1111605: "lucy gets $12 weekly to spend plus $2.50 for each chore she completes. The total amount paid is a function of the number of chores she completes. Select all the statements that describe this function.”
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Question 1111634: Use the given conditions to write an equation for the line in​ point-slope form and in​ slope-intercept form.
x-intercept= -3/4 and y-intercept = 2
Point-slope form of the equation of the line:
Slope-intercept form of the equation of the line:

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Question 1111638: F(x)=3x-5, find f(3)
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Question 1111703: Write the​ point-slope form of the line satisfying the given conditions. Then use the​ point-slope form of the equation to write the​ slope-intercept form of the equation.
Passing through (-9,0) and (0,9).
Type the​ point-slope form of the equation of the line:
Type the​ slope-intercept form of the equation of the line:

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Question 1111701: Use the given conditions to write an equation for the line in​ point-slope form and​ slope-intercept form.
Passing through (-4,-4) and (4,8).

Type the​ point-slope form of the equation of the line:
Type the​ slope-intercept form of the equation of the line:

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

Question 1111715: Hi I need help with that problem
Given the following function, find (-5), (0), and (3)
f(x) = - 4x -2
f(-5) =
f(0) =
f(3) =

Click here to see answer by Alan3354(69443) About Me 
Question 1111715: Hi I need help with that problem
Given the following function, find (-5), (0), and (3)
f(x) = - 4x -2
f(-5) =
f(0) =
f(3) =

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Question 1111621: Determine whether the following equation defines y as a function of x.
x+y=42
thank you :)

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Question 1111932: on his regular route, Gonzalo averages 62 mi/hr between charlottesville and Lawrenceville. His van averages 24 mi/gal, and his gas tank holds 12 gal of fuel. Assume that his tank is full when he starts the trip from Charlottesville to Lawrenceville.
A. Express the number of miles driven as a function of t, the time on the road.
B. Express the number of gallons used as a function of M, the miles driven.
C. Express the number of gallons used as a function of t, the time on the road.

Click here to see answer by josgarithmetic(39613) About Me 

Question 1112165: Write the​ slope-intercept equation of the function f whose graph satisifies the given conditions.
The graph of f passes through (12,6) and is perpendicular to the line that has an x-intercept of 1 and a y-intercept of -3.
Thank you :)

Click here to see answer by Boreal(15235) About Me 

Question 1112166: If one point on a line is (6,-5) and the line's slope is -9, find the y-intercept.
Click here to see answer by jim_thompson5910(35256) About Me 

Question 1112167: Use the given conditions to write an equation for the line in​ point-slope form and general form.
Passing through (-9,1) and parallel to the line whose equation is 8x-3y-7=0
The equation of the line in​ point-slope form is:
The equation of the line in general form is:
Thank you!!!

Click here to see answer by Boreal(15235) About Me 

Question 1112164: Use the given conditions to write an equation for the line in​ point-slope form and in​ slope-intercept form.
Passing through (6,6) with x-intercept 4
Write an equation for the line in point-slope form:
Write an equation for the line in slope-intercept form:
Thank you <3

Click here to see answer by stanbon(75887) About Me 

Question 1112311: Good evening, i need some help. it's due this morning thanks.
Using the function, g(x)= 2x^2-5x-3
a) calculate the coordinates of the vertex
b) state the axis of symmetry
c)find the x-intercept
d)find y-intercept
e) state the domain
f) state the range
Thanks!

Click here to see answer by josgarithmetic(39613) About Me 

Question 1112312: Good evening, i need home help. it is due today. thanks!
Callaway Golf Company has determined that the cost, C, of manufacturing x golf clubs may be expressed by the quadractic function: C(x)=4.9x^2-617.4x+19600
a) how many clubs should be manufactured to minimize the cost
b) at this level of production, what is the cost?

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Question 1112595: The graph of a function P(t) represent the size of a growing deer population over time. Evaluation of the first derivative of P at a particular time could provide a wildlife biologist with that type of information?
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Question 1112711: Explain why the relation between your classmates and their email addresses may not be a
function. What about phone numbers and Social Security Numbers?

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Question 1112829: Without plotting their graphs, find the coordinates of the points of intersection of the graph of the function y=13x−2.6 with the x and y-axis.
Click here to see answer by Alan3354(69443) About Me 

Question 1112957: Let f(x)=x+3/2x+7 and g(x)=7x+3/2x-1.Find g(f(x))

Click here to see answer by solver91311(24713) About Me 

Question 1112978: The length of the shortest side of a right triangle is 8 inches. The lengths of the other two sides are represented by consecutive odd integers. Which of these equations could be used to find the lengths of the other sides of the triangle?:
a. 8²+(x+1)=x²
b. x²+8²=(x+1)²
c.8²+(x+2)²=x²
d. x²+8²=(x+2)²

Click here to see answer by solver91311(24713) About Me 

Question 1113317: Given f(x) = x − 7 and g(x) = x2 .
Find g(f(4)).
g(f(4)) =

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Question 1113459: A wire 10 cm long is cut into two pieces, one of length x and the other of length x and the other of length 10-x. Each piece is bent into a shape of square. Which of the following is the model for the total area enclosed by the two squares of function of x?
a. A%28x%29=+%28x%5E2-5x%2B50%29%2F8
b. A%28x%29=+%282x%5E2%2B100%29%2F16
c. A%28x%29=+%28x%5E2-10x%2B50%29%2F8
d. A%28x%29=+%28x%5E2%2B100%29%2F16
After finding the total area, what is the value of x that minimizes the total area of the two squares? CHOICES(3 cm, 4cm, 5cm, and 6cm)

Click here to see answer by math_helper(2461) About Me 
Question 1113459: A wire 10 cm long is cut into two pieces, one of length x and the other of length x and the other of length 10-x. Each piece is bent into a shape of square. Which of the following is the model for the total area enclosed by the two squares of function of x?
a. A%28x%29=+%28x%5E2-5x%2B50%29%2F8
b. A%28x%29=+%282x%5E2%2B100%29%2F16
c. A%28x%29=+%28x%5E2-10x%2B50%29%2F8
d. A%28x%29=+%28x%5E2%2B100%29%2F16
After finding the total area, what is the value of x that minimizes the total area of the two squares? CHOICES(3 cm, 4cm, 5cm, and 6cm)

Click here to see answer by Theo(13342) About Me 

Question 1113542: hi i think im close but still cant get this one.
sum of three numbers =129
second number is 9 less the first
third number is 3 times the second
1st #=
2nd #=
3rd #=

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Question 1113908: f(x) = (2x + 3)/4 then f-1(x)
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Question 1113909: If f(x) = 2x + 1 and g(x) = x + 4 then gf(-4) =
Click here to see answer by ikleyn(52747) About Me 

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