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Question 1210401: 9p^2+6p-8

Click here to see answer by Edwin McCravy(20056)

Question 1210401: 9p^2+6p-8

Click here to see answer by greenestamps(13200)

Question 1210401: 9p^2+6p-8

Click here to see answer by mccravyedwin(407)

Question 1210401: 9p^2+6p-8

Click here to see answer by josgarithmetic(39618)

Question 1210401: 9p^2+6p-8

Click here to see answer by ikleyn(52788)

Question 1167792: Let H = {(1),(13)(24)} in A4 .
(a) Show that H is not normal in A4.
(b) Show that (123)H = (243)H and (124)H = (132)H but that (123)(124)H 6= (243)(132)H . This proves that the group operation we defined on the set of (left) cosets G/H is not well defined unless we know that the subgroup H is normal.
Click here to see answer by CPhill(1959)

Question 1167049: The function f(x) is transformed to produce a function g(x) where g(x)=−2f(5x)−5. If (−9,4) is a point on the graph of f(x), give the coordinates of the transformed point on the graph if g(x).
Click here to see answer by ikleyn(52788)

Question 1209938: Let f be a function such that
f(x) + f(2x + y) + 5xy = f(4x - y) - x^2 + 5xy - 8x + 17y + 1
for all real numbers x and y. Find f(10).

Click here to see answer by ikleyn(52788)

Question 1209938: Let f be a function such that
f(x) + f(2x + y) + 5xy = f(4x - y) - x^2 + 5xy - 8x + 17y + 1
for all real numbers x and y. Find f(10).

Click here to see answer by CPhill(1959)

Question 1179791: If the area (in square units) of the region under the curve of the function f(x) = 3x − 1 on the interval [a, 4], where a < 4, is 12 square units, identify all the possible values of a.
what values are correct?
a. -3
b. 0
c. -16/5
d. 8/3
e. -2
f. 7/2
Click here to see answer by ikleyn(52788)

Question 1168203: Customers at the Palace Pro Shop receive a 10% discount if they are members. All
customers must pay 7% in sales tax. The function f (x ) = 0.9x
is used to determine the price of an item after the 10% member discount, where
x is the regular price of the item. The function g(x ) = 1.07x
is used to determine the total amount customers pay for a purchase after all discounts are applied. Which function can be used to determine
T (x ), the total amount a member pays for an item with a regular price of
x dollars?
A.
T (x ) = 0.963x
B.
T (x ) = 0.17x
C.
T (x ) = 1.19x
D.
T (x ) = 1.97x
Click here to see answer by MathLover1(20850)

Question 1168204: The expression below represents the total cost, in dollars, for Thomas to purchase some new clothes, including tax.
1.065 (30 + 20x )
If x represents the number of shirts Thomas purchases, which of the following
statements are correct? Select all that apply.
A. Each shirt costs $30.
B. Each shirt costs $20.
C. The sales tax is 6.5%.
D. Thomas receives a 6.5% discount.
E. The cost of a shirt with tax is $21.30.
F. The cost of a shirt is $18.70 with the discount.
Click here to see answer by MathLover1(20850)

Question 1168270: Let f(x)=4x^2+5x+4 and let g(h)= f(1+h)−f(1)/h
Determine each of the following:
(a) g(1)=
(b) g(0.1)=
(c) g(0.01)=

You will notice that the values that you entered are getting closer and closer to a number L. This number is called the limit of g(h)as h approaches 0 and is also called the derivative of f(x) at the point when x=1.
Enter the value of L:
Click here to see answer by MathLover1(20850)

Question 1165363: if f, g, and h are functions, and m and b are real numbers such that h(x)=(1-x)g(x)+2=(2-x)f(x)-1=mx+b, for all x, find the values of m and b.
Click here to see answer by ikleyn(52788)

Question 1209971: The function f : \mathbb{R} \rightarrow \mathbb{R} satisfies
xf(x) + f(1 - x)/x = x^3 + 3x^2 + 14x - 13
for all real x. Find f(x).
Click here to see answer by CPhill(1959)

Question 1209953: Let F(x) be the real-valued function defined for all real x except for x = 1 and x = 2 and satisfying the functional equation
F(x) + F \left( \frac{2x - 3}{x - 1} \right) + F \left( \frac{1}{x} \right) = x.
Find the function F(x) satisfying these conditions. Write F(x) as a rational function with expanded polynomials in the numerator and denominator.

Click here to see answer by ikleyn(52788)

Question 1209949: The function f : \mathbb{R} \rightarrow \mathbb{R} satisfies
f(x) f(y) - f(xy) = -2x - 6y + 10
for all x, y \in \mathbb{R}. Find f(x).
Click here to see answer by greenestamps(13200)

Question 1209955: Suppose that f(x) and g(x) are functions which satisfy
f(g(x)) = x^2 \quad \text{and} \quad g(f(x)) = x^4
for all x \ge 1. If g(16) = 1, then compute \log_2 g(2).
Click here to see answer by CPhill(1959)

Question 1209952: The function f(n) is defined for all integers n, such that
f(x) + f(y) = f(x + y) - 4xy - 1 + f(x^2) + f(y^2)
for all integers x and y, and f(1) = 1. Find f(n).

Click here to see answer by ikleyn(52788)

Question 1209954: Suppose f(x) is a rational function such that
3 f \left( \frac{1}{x} \right) - \frac{f(x)}{x} = x
for all $x \neq 0$. Find f(-2).

Click here to see answer by CPhill(1959)

Question 1209950: The function f(n) takes the integers to the real numbers such that
f(m + n) + f(m - n) = 2f(m) + 2f(n) + mn
for all integers m and n, and f(1) = 2. Find f(n).

Click here to see answer by ikleyn(52788)

Question 1209948: Let f be a function defined on the positive integers, such that
f(xy) = f(x) + f(y)
for all positive integers x and y. Given that f(5) = 6, f(65) = 7, f(86) = 9, f(93) = 10, find (120).
Click here to see answer by ikleyn(52788)

Question 1209945: The function f has the following properties:
* f(a,b) is defined for all positive integers a and b
* f(a,1) = a
* f(a,b) = 1 if b > a
* f(a + 1,b) = b[f(a,b) - f(a,b - 1)]

Compute f(4,1) + f(4,2) + f(4,3) + f(4,4).

Click here to see answer by CPhill(1959)

Question 1209937: Let f be a function such that
f(xy) + x = xf(y) + f(x) + xy^2
for all real numbers x and y. If f(-1) = 3, then compute f(100).

Click here to see answer by mccravyedwin(407)

Question 1209937: Let f be a function such that
f(xy) + x = xf(y) + f(x) + xy^2
for all real numbers x and y. If f(-1) = 3, then compute f(100).

Click here to see answer by Edwin McCravy(20056)

Question 1209937: Let f be a function such that
f(xy) + x = xf(y) + f(x) + xy^2
for all real numbers x and y. If f(-1) = 3, then compute f(100).

Click here to see answer by ikleyn(52788)

Question 1209937: Let f be a function such that
f(xy) + x = xf(y) + f(x) + xy^2
for all real numbers x and y. If f(-1) = 3, then compute f(100).

Click here to see answer by CPhill(1959)

Question 1209940: The function f has the following properties:
* f(x) is defined for x > 0
* f(x) > 0 for all x > 0
* f(x - y) = \sqrt{f(xy) + 4x + 4y + 8} for all x > y > 0

Determine f(1).

Click here to see answer by AnlytcPhil(1806)

Question 1209930: The function f satisfies
f(m + n) = f(m) + f(n) - 2f(mn + m + n + 1) + m^2 + n^2
for all nonnegative integers m and n, and f(1) = 0. Compute f(123).
Click here to see answer by CPhill(1959)

Question 1209928: The function f satisfies
f(a + b) = f(a) + f(b) - ab
for all nonnegative integers a and b, and f(1) = 7. Compute f(123).

Click here to see answer by greenestamps(13200)

Question 1209928: The function f satisfies
f(a + b) = f(a) + f(b) - ab
for all nonnegative integers a and b, and f(1) = 7. Compute f(123).

Click here to see answer by CPhill(1959)

Question 1209915: If 5x+3y = 3, then what is 1024^x*64^y?
Click here to see answer by greenestamps(13200)

Question 1209915: If 5x+3y = 3, then what is 1024^x*64^y?
Click here to see answer by math_tutor2020(3817)

Question 1209895: Find the maximum value of f(a), where a is a positive integer, and
f(x) = \frac{13 + x}{2x + 7 - x^2}.
Click here to see answer by greenestamps(13200)

Question 1209895: Find the maximum value of f(a), where a is a positive integer, and
f(x) = \frac{13 + x}{2x + 7 - x^2}.
Click here to see answer by CPhill(1959)

Question 1209899: find the solution of x^2-8x+12

Click here to see answer by timofer(105)

Question 1209899: find the solution of x^2-8x+12

Click here to see answer by ikleyn(52788)

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