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

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Question 1098461: Given the equation predict the equation for the graph that has been reflected in the y-axis, given a vertical stretch by a factor of 5, translated 2 units right and 5 units down
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Question 1098611: The pages in a book are numbered from 1 to 2001. How many times was the digit 0 printed?

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Question 1098711: A wire 10 meters long is to be cut into two pieces. One piece will be shaped as a square, and the other piece will be shaped as a circle. The figure shows 10m as the full length up and down. On the other side of the line it shows 4x, and 10-4x. It shows a square with an x, and a circle with nothing next to it.

(a) Express the total area A enclosed by the pieces of wire as a function of the length x of the side of the square.
(b) What is the domain A?
(c) Graph A=A(x). for what value of x is A the smallest?
My book doesn't show clearly how to set up this problem. I hope I was clear enough with the dimensions. I didn't know which category to post as it is in functions and their graphs, but didn't want to put it in the function category that said NOT graphing. Sorry if I have misplaced or not been clear. I will add on if needed. I don't just post because I want the answer, I truly want to know how to set the problem up so that I can successfully do the problem right on homework, and on a test. Thank you so much for taking the time to read my question and help show me how to do my homework problem! it's very appreciated!
Click here to see answer by Boreal(15235)

Question 180721: please help me solve this problem
Solve for b: b - 17 < 2b + 20
Click here to see answer by amalm06(224)

Question 1098741: How do you write a function that has x-intercepts of -3 and 4 when graphed?
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Question 1098888: draw a graph of a line whose equation is y=3x+-5 identify the slope and y-intercept
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Question 1098905:
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Question 1099020: What is the solution to 5x-8>3x
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Question 1099026: Graph the function g(x)=2^x+1 and give its domain and range using interval notation.
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Question 1099124: f(x)=-1/3x+1
I need help on how to graph this. I know that one point is (0,1)
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Question 1099138: graph f(x)=-Ix+4I-3
I I are absoulte value signs.
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Question 1099138: graph f(x)=-Ix+4I-3
I I are absoulte value signs.
Click here to see answer by ikleyn(52778)

Question 1099141: Let f(x)=-3x. The graph of f(x) is transformed into the graph of g(x) by a vertical stretch of 4 units and a translation of 4 units right.
What is the equation for g(x)?
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Question 1099168: Write the equation of the line that contains the indicated pair of points. Express the final equation in standard form. (2,1) (11,10)

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Question 1099177: graph of [0.25x]
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Question 1099263: graph the step function over the interval -2 F(x)=((x+3))
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Question 1099267: Graph the step function over the interval
-2< or equal to x < or equal to 2.
F(x)=[x+3]
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Question 1099329: 8x= 20

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Question 1099423: What is a story problem for I cant seem to figure this out. Thank you for your help.
Click here to see answer by josgarithmetic(39617)

Question 1099484: Write the equation of a line that passes through (-9, 7) and (9, -1)
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Question 1099484: Write the equation of a line that passes through (-9, 7) and (9, -1)
Click here to see answer by Edwin McCravy(20054)

Question 1099727: For the data in the table, tell whether y varies directly with x. If it does, write an equation for the direct variation.
x y
0 0
1 4
2 8
3 12

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Question 1099729: Does the data in the table represent a direct variation or an inverse variation? Write an equation to model the data in the table.
x 2 4 8 12
y 4 2 1 2/3
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Question 1099792: A line with a slope of 3 travels through the coordinates (5, a) and 2a, 7). Find the value of a.
Click here to see answer by math_helper(2461)

Question 1099855: im not sure what i am doing wrong with this problem. A boa constrictor is 18 inches long at birth and grows 8 inches per year. Write an equation that represents the length yy (in feet) of a boa constrictor that is xx years old.
y= 8x+1 1/2 is what i got first i had y=8x+18. but that was wrong too
Click here to see answer by ikleyn(52778)

Question 1100036: The width of a rectangle two -thirds its length .If the perimeter is 180 meters find the dimension of the rectangle
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Question 1100129: F(x)=2x^2 +12x+3
This quadratic function has a minimum value. Find the value. Simplify your
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Question 1100147: 2x + 1 < �5 or 2 + 3x > 11
Click here to see answer by ikleyn(52778)

Question 1100146: �18 < 4x � 2 ≤ 30
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Question 1100154: Please help me with my assignment and further explain how you get the answer. Thanks ahead!
To meet design specifications, the perimeter of the photograph must be at least 150 cm. If the width is 19 cm., what restrictions must be placed upon the length?
Click here to see answer by josgarithmetic(39617)

Question 1100224: Acute isosceles triangle ABC has vertices A(-2,-1), B(3,13), with point C on the line x=-7. If AB=BC, then find the coordinates of C.
Click here to see answer by greenestamps(13200)

Question 1100260: write an equation in slope-intercept form for the line that passes through the given point and is perpendicular to the graph of the equation:
1.
2.
3.
25.
Click here to see answer by richwmiller(17219)

Question 1100537: What is the slope of the line between 3,4 and 0,5
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Question 1100541: which equation is the equation of the line, in point slope form, that has a slope of 12 and passes through the point (-1, 14)?
Click here to see answer by Fombitz(32388)

Question 1100541: which equation is the equation of the line, in point slope form, that has a slope of 12 and passes through the point (-1, 14)?
Click here to see answer by ikleyn(52778)

Question 1100543: which equation is the equation of the line in point slope form that has a slope of 1.9 and passes through the point (4.5, -1,4)?
Click here to see answer by Boreal(15235)

Question 1100545: Which equation is the equation of the line, in point-slope form, that has a slope of -4 and passes through the point (7,1)
Click here to see answer by richwmiller(17219)

Question 1100575: Determine the effects on the graph of the parent function
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Question 1100578: Determine the effects on the graph of the parent function
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Question 1100577: Determine the effects on the graph of the parent function
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Question 1100576: Determine the effects on the graph of the parent function
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Question 1096179: Please solve as quickly as possible please, thanks!
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7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 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, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 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