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

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Question 77970: What is x in this equation? (2x+5)*(x)=50? solve for x?
Click here to see answer by checkley75(3666)

Question 78041: f(x)=x^2-x
Click here to see answer by tutorcecilia(2152)

Question 78041: f(x)=x^2-x
Click here to see answer by stanbon(75887)

Question 77888: Write a formula to represent the function value(nickels,dimes,quarters)
Click here to see answer by checkley75(3666)

Question 78140: PROBLEM 23---BUSINESS APPLICATION
THE YEARLY SPENDING (IN BILLIONS OF DOLLARS) BY US ADVERTISERS TO PROMOTE PRODUCTS TO LATINOS IS SHOWN IN THE TABLE:::***
YEAR | SPENDING
______|____________
2000 | 2.1
2001 | 2.2
2002 | 2.5
2003 | 2.8
2004 | 3.1
(A) LET X = 0 CORRESPOND TO 2000. USE (0, 2.1) AS THE VERTEX AND THE DATA FROM 2004 TO FIND THE QUADRATIC FUNCTION g (x) = a( x-h)2 (**note: the 2 here is an exponet 2)+ k that models this data.
(B) USE THE MODEL TO ESTIMATE ADVERTISER'S SPENDING IN 2006 AND 2008.
***NOTE: I WANT TO CLARIFY THAT I COULDN'T WRITE QUADRATIC EXPRESSION WITH THE APPROPIATE OR CORRECT SYMBOLS IN THE SPACE PROVIDED BECAUSE THE SCREEN DOESN'T LET CUT & PASTE OR EDIT LIKE A WORD PROCESSOR, ETC..(EX. THE NUMBER 2 AFTER THE a(X-h) PARENTHESIS AN EXPONENT AND NOT A WHOLE NUMBER. THANK YOU

Click here to see answer by stanbon(75887)

Question 78135: PROBLEM 47--PAGE 170
RE: WORD PROBLEM ON TRANSPORTATION:
* ACCORDING TO DATA FROM THE NATIONAL HIGHWAY TRAFIC ADM. THE FATAL ACCIDENT RATE PER A THOUSAND LICENCED DRIVERS EVERY HUNDRED MILLION MILES, CAN BE APPROXIMATED BY THE FUNCTION:::
f(X) = .0031X*2 - .291X + 7.1, where X is the age of the driver ( 16 < X < 88)
Question: AT WHAT AGE IS THE ACCIDENT RATE THE LOWEST?
NOTE: SORRY BUT,DUE TO THAT I COUN'T WRITE THE EXPRESION CORRECTLY FOR THE SYMBOLS, THE ASTERISC(*) AFTER THE X FOLLOWED BY A 2 IS AN EXPONENT 2.(EX=.0031X*2). ALSO THE SYMBOL < SHOULD BE: THE LESS THAN BACKWARD ARROW WITH A LINE UNDER THE BACKWARD ARROW LESS THAN EQUALTO IN BOTH ARROW SYMBOLS.
( I HOPE THIS HELPS WITH THE CLARIFICATION)
THANKS, A.R.

Click here to see answer by stanbon(75887)

Question 78302: A plane took 1 hour longer to travel 560 miles on the first portion of a flight than it took to fly 480 miles on the second portion. If the speed was the same for each portion, what was the flying time for the second part of the trip?
thanks
Click here to see answer by mathman409(67)

Question 78242: 3)A piece of wire 100 cm long is cut into two pieces of length x and 100-x, respectively. the first piece is bent into the shape of a square, and the second is bent into the shape of a circle.
(a) Express as a function of x, the sum A of the area of the square and the circle.
(b) Find the value of x, if any, that makes the area of the square equal to the area of the circle.
(c) Specify the domain and the range of the function A(x)
Click here to see answer by ankor@dixie-net.com(22740)

Question 78303: What values for x must be excluded in the following fraction?

x-3/(4x-5)(x+1)
thanks
Click here to see answer by jim_thompson5910(35256)

Question 78275:
D.(1,-4)(8,2)(7,1)(-4,7)
Click here to see answer by Edwin McCravy(20056)

Question 78486: find the vertical asymptotes of the rational functions h(x)= x+11/x^2-9x
Click here to see answer by stanbon(75887)

Question 78551: Determine thed omain of domain
From what I learned in class I assumed I was supposed to use scientific division to find all possible zeros but I have no idea what numbers I would plug into that equation.
My deepest thanks for any help you can give, you're all life savers! :]
Click here to see answer by stanbon(75887)

Question 78552: I want to check my answer to this problem:
Consider the functions and
Then calculate
I set it up so that Step one:
Step two:
Is that correct? And should my answer be further simplified?
Thank you!!!!
Click here to see answer by tutor_paul(519)

Question 78662: Factors for Loan qualification:
1.Front-end ratio should not exceed Conventional VA FHA

0.28 N/A 0.29
2.Back-end ratio should not exceed 0.36 0.41 0.41
3.Credit Score should be 650 or higher.
Suppose a family has a gross monthly income of $2229. What is the maximum monthly debt payment that would meet the back-end ratio qualification for a conventional loan?
A)$646.41
B)$913.89
C)$802.44
D)$624.12
Click here to see answer by stanbon(75887)

Question 79114: Please help me answer this question. This is a worksheet. I have consulted my textbook and the resource books my mom bought. I'm very confused.
A rancher who raises ostriches has 60 yards of fencing to enclose 4, equally sized, rectangular pens for his flock of ostriches. He is considering two options:
A. Arrange the smaller pens in a line with adjacent pens sharing one common fence. (The diagram shows a rectagle divided vertically into 4 sections.)
B. Arrange the four smaller pens so that they share exactly two common fences as shown in the diagram. (The diagram shows a rectangle that is divided in half horizontally and then vertically.)
The problems is: Define the functions for the total area of each of the two options.
I've tried dividing out 60 and plugging it into each diagram hoping that would help me come up with a function. I also tried working with a linear equation, but I think it suppose to be a quadratic function. I appreciate any help you can give me. Thank you.
Click here to see answer by scott8148(6628)

Question 79021: i need to do homework how can i get to a page of homework so i can do it.i need homework on algebra1.
Click here to see answer by rapaljer(4671)

Question 79729: value of the function g(x) = -5x + 2 when g(5x + 1)
Thanks Kevin
Click here to see answer by tutor_paul(519)

Question 79728: f(x) = 2x/x-1
Click here to see answer by rapaljer(4671)

Question 79988: 1.alex drove 500 miles in 15 days
at the same, how long would it take to drive 5,000 miles
2.x/10=6/12 what is the value of x
3.5/300=x/3000 what is the value of x
4.a number decreased by nine is eighteen.
Which of the following equations correctly represents the statement?
5.The quotient of a number and four is twenty.
Which oSeven more than the product of four and a number is equal to twenty-one.
6.Seven more than the product of four and a number is equal to twenty-one.
Which of the following equations correctly represents the statement?
7.If Jan doubles the amount of money she has now and then saves $25 more, she will have $499, the cost of a holiday tour package.
Which equation represents the situation above?
8.The quotient of a number and four is six more than seventeen.
Which of the following equations represents the verbal expression?
9.Five more than half a number is twenty-two.
Which of the following equations represents the verbal expression?
10. x - 12
7 = 12
11. 7x - 10 = 32
12. Which of these number lines represents the solution to this equation?

7x + -7 = 35
13.Which of these number lines represents the solution to this equation?

4g - 12 = 8
14.
If three more than two times a number is 59, you can determine the number by subtracting three from 59 and then dividing the result by two. (59 - 3 = 56; 56 � 2 = 28)
If eight more than three times a number is 32, what is the number? `

Click here to see answer by vertciel(183)

Question 79991: Alex drove 500 miles in 15 days.
At the same rate, how long would it take Alex to drive 5,000 miles?

Click here to see answer by vertciel(183)

Question 79992: Alex drove 500 miles in 15 days.
At the same rate, how long would it take Alex to drive 5,000 miles?

Click here to see answer by sofiyacherni(99)

Question 80024: I have 20 of these questions to do, so once I get help with this first one, I beleive I shall be able to get the other 19 out. Thank you so much if you can help me. (My email is sasha_mahabir@hotmail.com)
HERE IS THE QUESTION:
1.) Write an algebraic function for each of the following. Use 'y' as the dependant variable and 'x' as the independant varaiable. Then evaluate the functions for the input values 9, 16.37, 0, and -10.
a.) The output is the opposite of the input.
b.) The output is the product of five and the sum of the input and six.
c.) The input is the sum of five and the product of the input and six.
d.) The output is always 100.
e.) The output is the square of the product of 3 and the input.
f.) The output is the product of three and the square of the input.
Click here to see answer by stanbon(75887)

Question 80037: 1.) Which of the following are FALSE:
a.) (a + 2)^3 = (a)^3 + (2)^3 = a^3 - 8
b.) If -a >2, then -2 < a
Click here to see answer by stanbon(75887)

Question 80035: 1.) Perform the indicated operations:
a.) b^3 - b^2 + 3b - (b - 3) + (3 - 2b^2 + 3b^3)=
b.) -3(3 - b)(3 + b) =
c.) (c - 3)^2=
d.) (a - b)(a^2 + ab + b^2)=
e.) 6c^2 - 12c +3 / -3c =
Click here to see answer by sofiyacherni(99)

Question 80038: 1.) Simplify the following with NO NEGATIVE EXPONENTS in your final answer.
(4a^x+3)(2a^1-x)=
Click here to see answer by sofiyacherni(99)

Question 80200: g(x)=6x+12
f(x)=2X+3
Question: 1. Find the (f o g) (x)+X^2
2. Set the answers to part 1 equal to 0 and solve by factoring
HELP!!!!!!! I DON"T UNDERSTAND

Click here to see answer by stanbon(75887)

Question 80206: A function f(n) defined for all positive integers has the property that f(m) + f(n) = f(mn) for any two positive integers m and n. if f(2)= 7 and f(3)=10, then calculate f(12).
Click here to see answer by Edwin McCravy(20056)

Question 80199: f(x)=4+3^x
Question: 1. State the inverse of the function
2. State the domain of f(x) and f^-1(x)
I'm SoOOOOOOOOO LOST HELP!!!!!!!!!!

Click here to see answer by stanbon(75887)

Question 80272: I would be so grateful if someone could help me out with this. Thanks so much!
Give the values of x which must be excluded from the domain of the following function.
f(x)= x+1
-------
x^2-4x-12
I really appreciate any help on this!!!
Click here to see answer by stanbon(75887)

Question 80269: Given the function y=0.02x^2 + 1.9x - 5, complete the following table:
x / y
___________
-125 / ?
100 / ?
-75 / ?
-50 / ?
-25 / ?
-0 / ?
25 / ?
Click here to see answer by stanbon(75887)

Question 80323: Three less than the square of a number can be written as

Click here to see answer by sofiyacherni(99)

Question 80422: What values are excluded from the domainof the function f(x)= x+2 over x-7
Click here to see answer by stanbon(75887)

Question 80658: determine whether this relation is a function please give step by step thanks
x=y^4
Click here to see answer by stanbon(75887)

Question 80845: what is the domain of g(x)=1/x-6
Click here to see answer by praseenakos@yahoo.com(507)

Question 80886: This is my question:
You own a lemonade stand, when you charge $2 a cup you sell 120 cups. When you raise the price to $3 you only sell 60 cups. Write an equation for the number of cups you sell as a function of the price you charge. "c" for number of cups and "p" for the price charged. Assume the function is linear.
I have been working on this for days and can't figure it out. Please help!
Click here to see answer by Earlsdon(6294)

Question 80936: Write the equation of the line that passes through point (�5, �12) with a slope of 2
Click here to see answer by funmath(2933)

Question 80932: Write the equation of the line that passes through point (�5, �12) with a slope of 2
Click here to see answer by funmath(2933)

Question 81148: How do I evaluate each function for the value of:
f(x)=x^2-7x+10; find (a) f(0), (b) f(5), and (c) f(-2)
:
Click here to see answer by ankor@dixie-net.com(22740)

Question 81273: In the 7th grade completing Algebra
Teached by: Ms. Haskins in Deer Park MIddle Magnet School

In class we are learning about "Function Notation". Ms. Haskins stated that the most common variables use are f, g, or h am i right? The example she used during class to help us develop what she was teaching was the following:
equation: function notation:
to solve this function notation we substituted in for so it became

On page 230 in my Algebra 1 textbook number 38 I was have some issues with the question
The main Question States "If and "
Number 38 states: I tried to do:
what I am not understanding is how do you solve the problem if you don't know which opertion to start with? All i am asking is that you help me with my math homework so i can pass ALgebra 1.
Thank You for viewing my problem and helping me resolve it! i really do appreciate your time.
- a Deer Park Middle Magnet Student
- Sierah Sasso 7th grader
Click here to see answer by jim_thompson5910(35256)

Question 81301: Rewrite the equation as a function of x, -3x+4y=11
Click here to see answer by checkley75(3666)

Question 81305: If f(x)=5x-1, find the following f(a-2)... I have no idea of how to go about doing this, I am new to this kind of math, I would really appreciate someone's help.
Click here to see answer by stanbon(75887)

Question 81304: If f(x)=4x-3, find the following f(-1)...How do I do this?
Click here to see answer by praseenakos@yahoo.com(507)

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