Questions on Algebra: Graphs, graphing equations and inequalities answered by real tutors!

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Question 1128728: Kin owes her friend $255 and plans to pay $5 per week. Select the equation of the function that shows the amount Kim owes after x weeks . then find and complete the interpretation of the intercepts of the function
Click here to see answer by MathTherapy(10552)

Question 1128734: I'm having a hard time graphing. can you help me graph
y=2x+1 and 3x+4y
thank you so much
Click here to see answer by josgarithmetic(39617)

Question 1128836: write an equation of the line that passes through the given points...
(-2,8) and (1,2)

Click here to see answer by Alan3354(69443)

Question 1128924: Looking for answer verification please.
Find the maximum value of 2x + 3y and the point at which it occurs subject to the constraints
y (greater or equal to)3x-9
y (less or equal to)x+5
y (less or equal to)-2x+11
x (greater or equal to)0, y(greater or equal to)0
After graphing and using the points I found the answer to be: 25, at point (2,7)
is this correct?
Thank you

Click here to see answer by ikleyn(52778)

Question 1129079: Need assistance please. I really don't know what I am doing, and the book only provides one (poor) example.
Solve using the graphical method. Choose your variables, write the objective function and the constraints, graph the constraints, shade the feasibility region, label all corner points, and determine the solution that optimizes the objective function.
Problem is as follows:
Mr. Tran has $24,000 to invest, some in bonds and the rest in stocks. He has decided that the money invested in bonds must be at least twice as much as that in stocks. But the money invested in bonds must not be greater than $18,000. If the bonds earn 6%, and the stocks earn 8%, how much money should he invest in each to maximize profit?
What I have done:
Choose variables-
X=amount invested in bonds
y=amount invested in stocks
Objective function-
P=.06x+.08y
Constraints-
This is what I am struggling with most. I find it hard to pull these out of the word problem. What I have is:
x+y>=24,000
x<=18,000
What I'm really struggling with is where this sentence, "money invested in bonds must be at least twice as much as that in stocks" fits into the equation.
If anyone has an god advice on how to set up an equation such as this I would sure appreciate it.
Thank you!

Click here to see answer by greenestamps(13198)

Question 1129220: f(x)-2x+1,find f(-3)

Click here to see answer by MathLover1(20849)

Question 1129428: Fine the point- slope equation of the line containing (-3, -4) and having slope m = -2.
Click here to see answer by t0hierry(194)

Question 1129568: Sketch the graph of 12+x-x^2=0 hence solve the inequality 12+x-x^2>=0
Click here to see answer by Boreal(15235)

Question 1129664: Graph g(x)=x^3-6x^2-13x+42
Showing all steps would be greatly appreciated.
Click here to see answer by ikleyn(52778)

Question 1129664: Graph g(x)=x^3-6x^2-13x+42
Showing all steps would be greatly appreciated.
Click here to see answer by Alan3354(69443)

Question 1129672: Show the approximate position in the coordinate plane of the graph of the function:
a. y=�0.9x+4
b. y=2.3x

Click here to see answer by Boreal(15235)

Question 1129674: Show the approximate position in the coordinate plane of the graph of the function
y= x/10

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Question 1129677: Show the approximate position in the coordinate plane of the graph of the function:
y=�9
Click here to see answer by Alan3354(69443)

Question 1129677: Show the approximate position in the coordinate plane of the graph of the function:
y=�9
Click here to see answer by MathLover1(20849)

Question 1129742: do all the roots of the polynomial x^5-4x^4-7x^3+14x^2-44x+120 make sense in regards to a roller coaster engineering project problem.explain why or why not in a complete sentence.
Click here to see answer by MathLover1(20849)

Question 1129762: I need to graph this line using the slope and y-intercept

Y= 3x + 3
Click here to see answer by math_helper(2461)

Question 1129764: What are the relative minimums and maximums of your coaster with a polynomial of x^5-4x^4-7x^3+14x^2-44x+120
Click here to see answer by MathLover1(20849)

Question 1129812: a. Describe the transformation that have been applied to the graph of F(x)=2^x to obtain the graph f(x)2^(x+1)-3

b. what is the Domain & Ranger of f(x)=2^(x+1)-3?
c. what is the equation of the asymptote for the graph of f(x)=2^(x+1)-3?

Click here to see answer by MathLover1(20849)

Question 1129861: Write the equation of a circle satisfying the following condition.
Passing through (0,0), (5,4), and (6,10)
Click here to see answer by Alan3354(69443)

Question 1129859: Write the equation of a circle satisfying the following condition.
A circle with circumference 64(pi)cm and center at (0,9)
Click here to see answer by Alan3354(69443)

Question 1129860: Write the equation of a circle satisfying the following condition.
A circle with area 49 cm^2 and center at (2,5)
Click here to see answer by Alan3354(69443)

Question 1129864: a. Describe the transformation that have been applied to the graph of F(x)=2^x to obtain the graph f(x)2^(x+1)-3
b. what is the Domain & Range of f(x)=2^(x+1)-3?
c. What is the equation of the asymptote for the graph of f(x)=2^(x+1)-3?

Click here to see answer by MathLover1(20849)

Question 1129913: Slope = -1, goes through the point (0, 2)

Click here to see answer by stanbon(75887)

Question 1130077: Write an absolute value inequality for a line graph with -5 and -1

Click here to see answer by MathLover1(20849)

Question 1130110: Graph the following system of inequalities using a graphing calculator to answer the questions below.
Inequality #1: y≤−4x+1
Inequality #2: y≥2/3x
Click here to see answer by MathLover1(20849)

Question 1130109: Graph the following system of inequalities using a graphing calculator to answer the questions below.
Inequality #1: y≤−4x+1
Inequality #2: y≥23x
Click here to see answer by MathLover1(20849)

Question 1130138: Determine whether the relation is a function? Explain.. ( 1 , -2) ( 2 , 1) ( 3 , 6 ) ( 4 , 13 ) ( 5 , 22 )

Click here to see answer by Boreal(15235)

Question 1130173: Plot a graph of y=xy
Click here to see answer by Alan3354(69443)

Question 1130173: Plot a graph of y=xy
Click here to see answer by josgarithmetic(39617)

Question 1130189: what is slope = (2/7) ; y-intercept = -3
Click here to see answer by josgarithmetic(39617)

Question 1130418: y>0
Click here to see answer by ikleyn(52778)

Question 1130474: The profit P, in thousands of dollars, that a manufacturer makes is a function of the number N of items produced in a year, and the formula is as follows:
P= -0.2N^2 + 3.6N - 9
(a) Determine the two break-even points for this manufacturer-that is, the two production levels at which the profit is zero.
(c) How many items should they produce to get this maximum point?
Please show me how you get the answer, thank you.
Click here to see answer by Boreal(15235)

Question 1130468: Write the equation of the line K that passes through the points (4,9) and (-1,-1).
Click here to see answer by josgarithmetic(39617)

Question 1130468: Write the equation of the line K that passes through the points (4,9) and (-1,-1).
Click here to see answer by ikleyn(52778)

Question 1130472: Given the function f(x) = 3x^2 + 24x- 2, find the following:
(a) find the vertex of the graph of f(x)
(b) find the x-intercepts
(c) find the maximum value obtained by f(x)
(d) find the minimum value obtained by f(x)
Click here to see answer by josgarithmetic(39617)

Question 1130524: (a) y varies jointly as x and w and inversely as the square of z. Find the equation of variation when y=100, x=2, w=4, and z=20.
(b) Then solve for y when x=1, w=5 and z=4.
Please show me how you get the answer, thanks.
Click here to see answer by josgarithmetic(39617)

Question 1130523: Solve the following system of equations:
x-5y=20
2x+y=14
Please show me how you solve the problem, thanks.
Click here to see answer by josgarithmetic(39617)

Question 1130523: Solve the following system of equations:
x-5y=20
2x+y=14
Please show me how you solve the problem, thanks.
Click here to see answer by ikleyn(52778)

Question 1130717: The table on the right represents a linear function
a.what is f (-4)?
b. If f (x)=12,what is the value of x?
c.what is the slope of the line?
d.what is the y-intercept of the line?
e.using your answers from (c)and (d), write an equation for f (x).
Table
X Y=f (x)
-4 9
-2 10
0 11
2 12
4 13
Click here to see answer by josgarithmetic(39617)

Question 1130714: Graph the function by finding vertex, axis of symmetry, direction, intercept, domain and range= -(x+2)^2 +5
Click here to see answer by josgarithmetic(39617)

Question 1130833: What is the y-intercept and the x-intercept of the line K if the equation is y=2x+1.
My answer was (0,9) but I was wrong for the y-intercept.
My answer was (-8,0) for the x-intercept and I was wrong.
Can you help me and show me where I went wrong? Thanks

Click here to see answer by josgarithmetic(39617)

Question 1130836: a) y varies jointly as x and w and inversely as the square of z. Find the equation of variation when y=100, x=2, w=4, and z=20.
(b) Then solve for y when x=1, w=5 and z=4.
Please show me how you get the answer, thanks.
I have the formula y=kxw/z squared, but I don't know if that is jointly or inversely. If it is inversely, then I need help with the jointly, which I think is y=kxwz
Click here to see answer by josgarithmetic(39617)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 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11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 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