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

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Question 978794: f(x)=-2x^2+x-1 when f(x+h)
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Question 978829: Y=3(x+5)(x-2)
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Question 979377: Solve for x in the equation x%5E2-%28a%2B3b%29x%2B3ab=0.
What I have tried so far is to try and plug the equation into the quadratic formula and ended up with x=%28-a-3b%2Bsqrt%28%28a%5E2%2B6ab%2Bab%5E2%29-12ab%29%29%2F2
From there it doesn't seem like something that can be solved.

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Question 979388: The quadratic function f%28x%29=ax%5E2%2Bbx%2Bc has the following characteristics: (i) passes through the point (2,4); (ii) has a maximum value of 6 when x=4; and (iii) has a zero of x=4%2B2sqrt%283%29.
Find the values of a,b, and c.

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Question 979388: The quadratic function f%28x%29=ax%5E2%2Bbx%2Bc has the following characteristics: (i) passes through the point (2,4); (ii) has a maximum value of 6 when x=4; and (iii) has a zero of x=4%2B2sqrt%283%29.
Find the values of a,b, and c.

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Question 979392: What is the Domain and Range of f(x)=square root of 2x-4
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Question 979447: Please help me solve for x in the equation x%5E2-%28a%2B3b%29x%2B3ab=0.
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Question 979447: Please help me solve for x in the equation x%5E2-%28a%2B3b%29x%2B3ab=0.
Click here to see answer by Edwin McCravy(20056) About Me 

Question 979446: Find the values of k so that the equation %28k-2%29x%5E2%2B4x-2k%2B1=0 has two distinct real roots.
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Question 979426: Find the domain and the range of the following function: y = √ 12x + 24
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Question 979509: What is the domain of the function f(x)=x-5/x^2-9
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Question 979540: Solve the inequality x%5E2-4%2B%283%2Fx%29%3C0
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Question 979611: "An object is launched vertically in the air from a 10-meter tall platform. The height (in meters) of the object t seconds after it was launched is modeled by the function: h(t)=-16t^2+36t+10. How long will it take for the object to reach its maximum height? what is the maximum height?
a) the t-coordinate of the vertex is given by t=-b/2a= _______
b). the object reaches it maximum height ___ seconds after launch.
a). h(1.125)=_____
b) the maximum height of the object is ____ meters.
any help with this would be appreciated thank you so much

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

Question 979612: Determining zeros and multiplicities
1. if f is a polynomial function and c is a zero, then _____ is a factor.
2. if (x-c)^k is a factor of f, then c is a zero of multiplicity ________.

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Question 979629: Write the function using function notation. Let "x" be the independent variable and "y" be the dependent variable. Use "f" to name the function.
-18x+30y=6
f(x)=?
Please, help. Thanks!

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Question 979614: Synthetic division: we can use a shortcut to long division of polynomials called synthetic division if the divisor d(x) is in the form d(x)=x-c.
a. if the divisor is x-8 then c=_____
b. if the divisor is x+6 then c =_______
i need help with this explanation before i can continue my math homework in this subject, thank you

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

Question 979675: The following function defines a recursive sequence:
f(0) = -4
f(1) = 12
f(n) = -3•f(n -1) - 2•f(n - 2); for n > 1
Which of the following sequences is defined by this recursive function?
-4, 12, -28, 60, …
-4, -12, -28, -60, …
-4, 12, -18, 54, …
-4, 12, -18, -54, …

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Question 979724: Find the domain of the function
g(x)= sqrt 2x^2+3

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Question 979751: Find an equation of a line that passes through (-4,1) and (-2,-3)
Express in slope-intercept form

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Question 979734: Find the domain
f(x)= 1/x^2+x-2

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Question 979842: f(x)=2x^2,g(x)=2/x-5

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Question 979890: Find the Domain
g(x)= 2(x-1)^5/2

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Question 979902: Find the domain of the function?
f(x)=Sqrt x-1/(x+2)(x-3)

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Question 980054: h[s(x)] if s(x) = 2^x and h(x) = x^2
A. (2x)^2
B. 4
C. 4x
D.x^(2x)
E. x^2
F. 2x^2

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Question 980055: n[m(t)] if n(x) = 3^x and m(t) = SQRT(t) + 1
A. SQRT(3^x) + 1
B. 3[SQRT(t)]
C. SQRT(t) + 3
D. 3[SQRT(t) + 1]
E. 3[SQRT(t)] + 3
F. SQRT(3^x) + 3

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Question 980092: x^2-y^2=16
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Question 980157: f(x)= 7/x + 7/x+4 such that f(x)= 1
So I set up the problem like this 1= 7/x + 7/x+4 and I get stuck. I'm supposed to solve using the quadratic formula. Help!

Click here to see answer by josgarithmetic(39618) About Me 
Question 980157: f(x)= 7/x + 7/x+4 such that f(x)= 1
So I set up the problem like this 1= 7/x + 7/x+4 and I get stuck. I'm supposed to solve using the quadratic formula. Help!

Click here to see answer by MathTherapy(10552) About Me 

Question 980177: find the slope intercept form for the line satisfying the following conditions. Passing through (4,-3) and (3,-2)
Click here to see answer by josgarithmetic(39618) About Me 

Question 980277: You are mowing lawns to make some extra money. The amount of money you make varies directly with the number of lawns you mow. If you mow 5 lawns and earn $50, what is the constant of variation?
I feel as if I understand the question but I have no Idea how to get the answer.

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Question 980337: what will be the value of the polynomial function P(x)=5-7/2x-3x^2 if x=4?
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Question 980336: the domain of S(x)=2x-3 is the set of?
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Question 980394: determine whether each relation is a function
{(0, 0), (9, 3), (4, 2), (4, 2), (9, 3)}


Yes? right?

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Question 980436: when is a function said to b meaningless and undefined
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Question 980340: let Q(x) be a polynomial function of degree 1. it's product with a polynomial of degree n is of degree?
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Question 980338: suppose P(x)=(x-3)^4 and Q(x) is a cubic function. then the degree of the quotient of P(x) and Q(x) is?
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Question 980339: suppose P(x)=3x^4-x^2+1 and Q(x)=-6-x-x^4. if R(x)=2P(x)+3Q(x).
Click here to see answer by Fombitz(32388) About Me 

Question 980734: I really need help with this Problem.
At Allied Electronics, production has begun on the X-15 Computer Chip. The total revenue function is given by R(x)=40x-0.3x^2 and the total cost function is given by C(x)=9x+16 where x represents the number of boxes of computer chips produced. The total profit function, P(x), is such that P(x)=R(x)-C(x). Find P(x)
a) P(x) = -0.3x^2 + 22x + 16
b) P(x) = 0.3x^2 + 22x - 48
c) P(x) = 0.3x^2 + 31x - 32
d) P(x) = -0.3x^2 + 31x - 16

Click here to see answer by ikleyn(52794) About Me 

Question 980982: let f(x)=1/x and g(x)=x^2-6x. what two numbers are not in the domain of f of g? separate your answer with a comma
Click here to see answer by josgarithmetic(39618) About Me 

Question 981131: What function is horizontal shift of the function f(x)=|x|?
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Question 981207: please help!!
Find the functions
f + g, f − g, fg, and f/g.
f(x) = (sqrt(x - 3)) ; g(x) = ((x**3) + 3)

Click here to see answer by josgarithmetic(39618) About Me 

Question 981228: Need help on what the steps are for the transformation The parent function,f(x)=|x|, has been transformed into g(x)=1/4|x-6|+10 . Describe the transformation (in correct order).
Thank you

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Question 981345: A field is being built that has an area of 1000 square yards. The field must be 30 yards longer than its width. Determine algebraically the dimensions of the soccer field in yards
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Question 981345: A field is being built that has an area of 1000 square yards. The field must be 30 yards longer than its width. Determine algebraically the dimensions of the soccer field in yards
Click here to see answer by macston(5194) About Me 

Question 981349: what is inverse of g (x)= square root of 2x-1
Write domain and range of g(x) and g^-1(x) in interval notation
Thank you!

Click here to see answer by josgarithmetic(39618) About Me 

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