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

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Question 1156187: Please help me with this related rates question
if two resistors with resistances R1 and R2 are connected in parallel, as in the figure below, then the total resistance R, measured in ohms (Ω), is given by
1/R = 1/R1+1/R2
If R1 and R2 are increasing at rates of 0.3 Ω/s and 0.2 Ω/s, respectively, how fast is R changing when R1 = 80 Ω and R2 = 100 Ω? (Round your answer to three decimal places.)

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

Question 1156175: please help, me with this calculus homework about related rates
Gravel is being dumped from a conveyor belt at a rate of 35 ft3/min, and its coarseness is such that it forms a pile in the shape of a cone whose base diameter and height are always equal. How fast is the height of the pile increasing when the pile is 10 ft high? (Round your answer to two decimal places.)

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Question 1156116: Express f(x)= 2x^2 + 8x + 7 in standard form

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Question 1156231: 1. Let p(x) = x^3 -2x^2 - 3x
(a) Factor p completely.
(b) Find the real zeros of p.
(c) Sketch the graph of p

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

Question 1156234: Let p(x) = x^6 - 3x^4 + 2x^2
(a) Factor p completely.
(b) Find the real zeros of p.
(c) Sketch the graph of p.

Click here to see answer by josgarithmetic(39613) About Me 
Question 1156234: Let p(x) = x^6 - 3x^4 + 2x^2
(a) Factor p completely.
(b) Find the real zeros of p.
(c) Sketch the graph of p.

Click here to see answer by ikleyn(52747) About Me 

Question 1156285: Let p(x) = x^6 - 3x^4 + 2x^2
Sketch the graph of p.

Click here to see answer by josgarithmetic(39613) About Me 
Question 1156285: Let p(x) = x^6 - 3x^4 + 2x^2
Sketch the graph of p.

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

Question 1156368: Let p(x) = x^3 - 7x + 6
(a) Factor p completely [Hint: guess an initial zero and use synthetic division].
(b) Find the real zeros of p.
(c) Sketch the graph of p using a sign diagram

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

Question 1156352: Let p(x) = x^3 - 7x + 6
(a) Factor p completely [Hint: guess an initial zero and use synthetic division].
(b) Find the real zeros of p.
(c) Sketch the graph of p using a sign diagram.

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 1156536: The admission fee at an amusement park is 1.5 dollars for children and 4 dollars for adults. On a certain day, 304 people entered the park, and the admission fees collected totaled 906 dollars. How many children and how many adults were admitted?

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

Question 1156575: 1. Use synthetic division to divide p(x) = x^4 - 10x^2 - 2x + 4 by x + 3
2. Let f(x) = 3x^3 + 8x^2 + 5x - 7. Use synthetic division to find f(-2)
3. Use synthetic division to factor f(x) = x^3 - 5x^2 - x + 5 completely. Then sketch the graph of f. [Hint: Guess an initial zero of f(x). Then apply synthetic division.]
4. Use synthetic division to perform the division.
(a) x^3 + 3x^2 + 11x + 9 by x + 1
(b) x^4 + 4x^3 + 2x^2 + 9x + 4 by x + 4

These are homework problems I need help with.

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

Question 1156572: Please help me with this calculus 1 question
Find the derivative of the function.
F(θ) = arcsinsquaroot(sin(3θ))

Click here to see answer by MathLover1(20849) About Me 

Question 1156626: Use synthetic division to divide p(x) = x^4 - 10x^2 - 2x + 4 by x + 3
Click here to see answer by josgarithmetic(39613) About Me 
Question 1156626: Use synthetic division to divide p(x) = x^4 - 10x^2 - 2x + 4 by x + 3
Click here to see answer by MathLover1(20849) About Me 

Question 1156629: Let f(x) = 3x^3 + 8x^2 + 5x - 7. Use synthetic division to find f(-2).
Thank u for giving me the answer for the first problem & you don't have to do number 3 because you already did it for me. Thanks again!

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

Question 1156622: Two friends went to get ice cream sundaes. They each chose a flavor of ice cream from a list of vanilla and chocolate and toppings from a list of hot fudge, strawberries, sprinkles, peanuts, and whipped cream. Use the sets below describing their choices and find C'.
Let A = {vanilla, chocolate, hot fudge, strawberries, sprinkles, peanuts, whipped cream}
Let B = {vanilla, hot fudge, sprinkles, whipped cream}
Let C = {chocolate, hot fudge, peanuts, whipped cream}
___________________________________________________________________________The options are:
A) {vanilla, strawberries, sprinkles}
B) {chocolate, hot fudge, peanuts, whipped cream}
C) {vanilla, hot fudge, sprinkles, whipped cream}
D) {chocolate, strawberries, sprinkles}

Click here to see answer by jim_thompson5910(35256) About Me 

Question 1156570: Find the derivative of the function, Solution or Explanation
y = (tan^−1(4x))^2

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Question 1156696: find an explicit function rule for the sequence a(1)=13, a(n)=a(n-1)
Click here to see answer by ikleyn(52747) About Me 

Question 1157212: g(x)=x−1
h(x)=3x+5
g(x)+h(x)

Click here to see answer by Alan3354(69443) About Me 
Question 1157212: g(x)=x−1
h(x)=3x+5
g(x)+h(x)

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

Question 1157213: g(x)=x+5
f(x)=−2x−1
Find: f(x)÷g(x)

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Question 1157379: If 63=1,85=2,682=3,8175=4,9896=5,what does 58269 equal?

Click here to see answer by Edwin McCravy(20054) About Me 

Question 1157403: f(x)=-3x^2+3x-2
a. opens
b. vertex = (-0.5,-2.75)
c axis of symmetry x=-0.5
d. show algebraically how you know the function has no x-intercepts - it does x-intercepts of -1.457 and 0.457
e internal where it is increasing and decreasing
Decreasing (-inf, -0.5) Increasing (0.5, inf)

Click here to see answer by MowMow(42) About Me 
Question 1157403: f(x)=-3x^2+3x-2
a. opens
b. vertex = (-0.5,-2.75)
c axis of symmetry x=-0.5
d. show algebraically how you know the function has no x-intercepts - it does x-intercepts of -1.457 and 0.457
e internal where it is increasing and decreasing
Decreasing (-inf, -0.5) Increasing (0.5, inf)

Click here to see answer by ikleyn(52747) About Me 

Question 1157414: f(x)=-3x^2+3x-2
a. opens up or opens down
b. vertex =
c axis of symmetry
d. show algebraically how you know the function has no x-intercepts
e internal where it is increasing and decreasing

Click here to see answer by ikleyn(52747) About Me 
Question 1157414: f(x)=-3x^2+3x-2
a. opens up or opens down
b. vertex =
c axis of symmetry
d. show algebraically how you know the function has no x-intercepts
e internal where it is increasing and decreasing

Click here to see answer by MathLover1(20849) About Me 

Question 1157412: Quadratic function
1) A function that has a local maximum will have
___< 0 (what coefficient)
2) A function that is decreasing for xh will open (up or down)
a. up
b. down

Click here to see answer by greenestamps(13195) About Me 

Question 1157549: Let p(x) = −x^4 + 3x^3 + 13x^2 − 15x.
(a) Find all zeros of p(x)
(b) Factor p(x) completely
(c) Sketch the graph of p(x) using a sign diagram

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

Question 1157561: Suppose f(x) = √x − 1 and g(x) = x^2 + 5. Find and simplify expressions for each of the following:
(a) (f ◦ g)(x)
(b) (g ◦ f)(x)

Click here to see answer by MathLover1(20849) About Me 

Question 1157615: I just do not understand optimization every problem confuses me please explain this problem and its solution.
An island is 2mi due north of its closest point along a straight shoreline. A visitor is staying at a cabin on the shore that is 6mi west of that point. The visitor is planning to go from the cabin to the island. Suppose the visitor runs at a rate of 8mph and swims at a rate of 3mph. How far should the visitor run before swimming to minimize the time it takes to reach the island?

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

Question 1157675: given f(x)=3x-2 and g(x)= x^2+1
find :
1. (fog)(x)
2. (gof)(1)
3. (fog)(2)

Click here to see answer by Shin123(626) About Me 

Question 1157934: Given function p and t defined by the table below
 x,  -2, -1,  0,  1,  2
p(x), 4,  1,  0,  1,  4
t(x), 3,  2,  1, -2, -3

Find
1. t(p(-1))
2. (t∘p)(0)
3  (p∘t)(-1)
4. t(t(0))
5. P(t(2))

Click here to see answer by Edwin McCravy(20054) About Me 

Question 1158310: Write the function whose graph is the graph of y=x^2​, but is shifted down 7 units.
Click here to see answer by Theo(13342) About Me 

Question 1158357: F(x)=(x+2)squared and how to graph it

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Question 1158357: F(x)=(x+2)squared and how to graph it

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Question 1158399: Which two numbers add to -5 and multiply to -14? *

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Question 1158433: which of the expressions below is/are equivalent 4x^2+10x-6?
which of the forms is the best complete factorization of 4x^2+10-6?
a.(2x-6)(2x+1)
b.2(2x-1)(x+3)
c.(4x-2)(x+3)
d.2(x+3)2(x-1/2)
e.4(x-3)(x-1/2)
f.2(x-3)(2x-1)
g.2(x-3)(2x+1)
h.(2x-1)(2x+6)
i. none of these

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

Question 1158556: If f(x)=-3x+8, find f(5).
Click here to see answer by Shin123(626) About Me 
Question 1158556: If f(x)=-3x+8, find f(5).
Click here to see answer by josmiceli(19441) About Me 

Question 1158558: evaluate (f+g)(x) if f(x)=2x² and g(x)=4x-5 when x=2
Click here to see answer by MathLover1(20849) About Me 

Question 1158559: evaluate (fg)(x) if f(x)=2x² and g(x)=3x-2 when x=-2
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Question 1158557: evaluate (f•g)(x) if f(x)=2x² and g(x)=3x-2 when x=-1
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Question 1158560: evaluate (f/g)(x) if f(x)=2x² and g(x)=3x-2 when x=2
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Question 1158555: evaluate a(b(n)) for a(b)=3b and b(n)=5n-9 when n=3
Click here to see answer by MathLover1(20849) About Me 

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