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

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Question 1097280: The sum of the digits of a 3-digit number is 20. If the tens were the hundreds digit and the hundreds digit were the tens digit, the resulting number would be 90 less than the original number. If the tens were the units digit and the units digit were the tens digit, the resulting number would be 45 less than the original number. What is the number?
Click here to see answer by josgarithmetic(39618) About Me 

Question 1097281: A particle's velocity equation is t^3 - 12t^2 + 35
how do we find the total distance travelled by the particle during the first 7 seconds?



Click here to see answer by Fombitz(32388) About Me 

Question 1097310: Given that f(x)=4/x+2, find the difference quotient f(x+h)-f(x)/h using the following steps. Be sure to simplify at every step and combine rational expressions. You don’t need to expand (multiply though) the common denominator for the second and third parts.
(a) find f(x+h)=
(b) find f(x+h)-f(x)=
(c) find f(x+h)-f(x)/h=

Click here to see answer by rothauserc(4718) About Me 

Question 1097369: Write an equation for the inverse of the given​ one-to-one function.
f(x) = (5x+4)/(7)

Click here to see answer by josgarithmetic(39618) About Me 
Question 1097369: Write an equation for the inverse of the given​ one-to-one function.
f(x) = (5x+4)/(7)

Click here to see answer by greenestamps(13200) About Me 

Question 1097482: Determine the domain of when g(x)= square root of x-6 / x+6
Click here to see answer by stanbon(75887) About Me 

Question 1097509: if g(x) = x+1/x+2 (x is not equal -2). find g^-1(2)
Click here to see answer by josgarithmetic(39618) About Me 

Question 1097529: Graph the following lines and write the equation in slope-intercept form. With y intercept of −3 and an x intercept of −4.5.
Click here to see answer by rothauserc(4718) About Me 

Question 1097569: A chemical manufacturer wishes to fill an order for 700 gallons of a 24% acid solution. Solutions of 20% and 30% are in stock. How many gallons of 30% acid solution will be used in the desired mixture?
(I understand there may not be such a thing as "24% acid solution", et cetera. I'm just focusing on what solution needs to be used to get the number being asked for.
Honestly, I've seen problems like these before but just have trouble when it's worded differently. Thank you!)

Click here to see answer by ikleyn(52794) About Me 
Question 1097569: A chemical manufacturer wishes to fill an order for 700 gallons of a 24% acid solution. Solutions of 20% and 30% are in stock. How many gallons of 30% acid solution will be used in the desired mixture?
(I understand there may not be such a thing as "24% acid solution", et cetera. I'm just focusing on what solution needs to be used to get the number being asked for.
Honestly, I've seen problems like these before but just have trouble when it's worded differently. Thank you!)

Click here to see answer by jim_thompson5910(35256) About Me 

Question 1097567: A chemical manufacturer wishes to fill an order for 700 gallons of a 24% acid solution. Solutions of 20% and 30% are in stock. How many gallons of 20% acid solution will be used in the desired mixture?
(I understand there may not be such a thing as "24% acid solution", et cetera. I'm just focusing on what solution needs to be used to get the number being asked for.
Honestly, I've seen problems like these before but just have trouble when it's worded differently. Thank you!)

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

Question 1097697: If the x-intercept of f(x) is 2, what is f(x+5)
Click here to see answer by jim_thompson5910(35256) About Me 

Question 1097700: Find a function N(x) that will models a Norman arch that's 15 feet tall and 16fwet wide at the base

Click here to see answer by Edwin McCravy(20056) About Me 

Question 1097948: C is 8 more than half of n
Click here to see answer by Alan3354(69443) About Me 

Question 1097964: given f (x) =(3*x+2)/(2*x-1) and (f/g)(x)=(3*x+2)/(x-1) find g(x)
Click here to see answer by josgarithmetic(39618) About Me 

Question 1098175: Find the value of k so that (x-5) is a factor of kx^3 - 17x^2 - 4kx + 5
Click here to see answer by josgarithmetic(39618) About Me 

Question 1098212: f(x)=x^2+8x-5 =

Click here to see answer by wilft1(217) About Me 

Question 1098323: What is the slope of the line through the points (5, 2) and (5, -3)?
Click here to see answer by Boreal(15235) About Me 
Question 1098323: What is the slope of the line through the points (5, 2) and (5, -3)?
Click here to see answer by MathTherapy(10552) About Me 
Question 1098323: What is the slope of the line through the points (5, 2) and (5, -3)?
Click here to see answer by amalm06(224) About Me 

Question 1098213: the perimeter of a rectangular lot is 224m^2 .
What is the largest possible area of the lot?What are the dimensions of the lot?

Click here to see answer by richwmiller(17219) About Me 

Question 1098350: You are selling banana bread that costs P 5 each. Each week, you have 50
customers. When you decrease the price by P1, you expect 30 customers to be
added. What is the price of the banana bread that yields a maximum profit?
a. Analyze the problem.
b. What is the weekly sale if the cost of the banana bread is P5?
c. If the revenue (R) = number of bread x bread price. Write the equation of
the quadratic function given the situation above?
d. What is the price that yields the maximum revenue?
e. Find the maximum revenue.

Click here to see answer by josgarithmetic(39618) About Me 
Question 1098350: You are selling banana bread that costs P 5 each. Each week, you have 50
customers. When you decrease the price by P1, you expect 30 customers to be
added. What is the price of the banana bread that yields a maximum profit?
a. Analyze the problem.
b. What is the weekly sale if the cost of the banana bread is P5?
c. If the revenue (R) = number of bread x bread price. Write the equation of
the quadratic function given the situation above?
d. What is the price that yields the maximum revenue?
e. Find the maximum revenue.

Click here to see answer by Theo(13342) About Me 
Question 1098350: You are selling banana bread that costs P 5 each. Each week, you have 50
customers. When you decrease the price by P1, you expect 30 customers to be
added. What is the price of the banana bread that yields a maximum profit?
a. Analyze the problem.
b. What is the weekly sale if the cost of the banana bread is P5?
c. If the revenue (R) = number of bread x bread price. Write the equation of
the quadratic function given the situation above?
d. What is the price that yields the maximum revenue?
e. Find the maximum revenue.

Click here to see answer by MathTherapy(10552) About Me 
Question 1098350: You are selling banana bread that costs P 5 each. Each week, you have 50
customers. When you decrease the price by P1, you expect 30 customers to be
added. What is the price of the banana bread that yields a maximum profit?
a. Analyze the problem.
b. What is the weekly sale if the cost of the banana bread is P5?
c. If the revenue (R) = number of bread x bread price. Write the equation of
the quadratic function given the situation above?
d. What is the price that yields the maximum revenue?
e. Find the maximum revenue.

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

Question 1098410: half life of nitrogen-16 is approximately 7.13 seconds. how much of 3-gram sample would be left after 8 seconds?
Click here to see answer by Boreal(15235) About Me 

Question 1098418: Can someone help me write rule for the following function.
X, -1, 0, 1, 2,
Y, 3/2, 1, 2/3, 4/9
Thanks.

Click here to see answer by Boreal(15235) About Me 
Question 1098418: Can someone help me write rule for the following function.
X, -1, 0, 1, 2,
Y, 3/2, 1, 2/3, 4/9
Thanks.

Click here to see answer by MathLover1(20850) About Me 

Question 1098664: Write five number pairs (g-3)(h+2)=95. (Note that you can use negative numbers and fractions.)
Click here to see answer by josgarithmetic(39618) About Me 
Question 1098664: Write five number pairs (g-3)(h+2)=95. (Note that you can use negative numbers and fractions.)
Click here to see answer by MathTherapy(10552) About Me 

Question 1098714: A Norman window has the shape of a rectangle surmounted by a semicircle. If the perimeter of the window is 960 centimeters and the length of the base of the window is 190 centimeters, find the total area of the window.
area=______ cm^2

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

Question 1098715: Determine the domain and range of each relation.
{(x,y)| y=9}
I don't understand this at all. Help would be greatly appreciated!

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

Question 1098713: A 16 -inch laptop has a screen that is 8 inches tall. How wide is the screen?
(a )Find exact answer and be sure to simplify (in inches):
(b) Now, give approximate answer (rounded to two decimals) (in inches):


Thank you so much for the help it is so appreciated!

Click here to see answer by math_helper(2461) About Me 

Question 1098948: An apple contains 140 calories and 2 g of fiber. A banana contains 95 calories and 5 g of fiber. Set up a system of equations that could be solved to determine the number of apples (AA) and bananas (BB) that should be eaten to obtain 3620 calories and 110 g of fiber.
Click here to see answer by ikleyn(52794) About Me 

Question 1099025: A construction company uses beams that are 2,3, or 4 meters long. The measure of each bean must be converted to centimeters. Write a function to describe the situation. Find the reasonable domain and and range for the function
Click here to see answer by Alan3354(69443) About Me 

Question 1099137: The graph of the function f(x)=I3xI is translated 4 units up.
what is the equation of the transformed equation?
g(x)=
ps the I I is the absoulte value sign

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

Question 1099039: christiano ronaldo has a messy house
Click here to see answer by richwmiller(17219) About Me 

Question 1099213: What is the domain and range of y=0.25x-0.5?
Click here to see answer by josgarithmetic(39618) About Me 

Question 1099216: A crane is lowering a concrete block from a height of 500 feet above the ground at a constant rate of 4.5 feet per second.Which function can be used to determine h,the height in feet,above the ground of the concrete block after x seconds?
1 h=-4.5s+500
2 h=500s+4.5
3 h=500s-4.5
4 h=4.5s-500

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

Question 1099214: An Amusement Park charges a parking fee plus a admission fee for each person.The total cost for each vehicle is modeled by the function y=30+45x.Which statement represent the meaning of each part of the function ?
1-y is the total cost going to the AP x-is the amount of people ,$30 is the admission fee ,$45 is the cost to park
2-y is the total cost going to the AP,x is the amount of people,$45 is the admission fee ,$30 is the cost to park
3-x is the total cost going to AP, y is the amount of people ,$30 is the admission fee,$45 is the cost to park
4-x is the total cost going to AP,y is the amount of people,$45 is the admission fee $30 is the cost to park

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

Question 1099404: what is the domain of 3x^2+x-2 and its denominator is 2x^2-3x-9? please show with solutions pleasee
Click here to see answer by josgarithmetic(39618) About Me 

Question 1099530: Prepare a function that resembles the idea of half-life of a chemical that is currently at a weight of 50 grams. Let c be the amount of the chemical after a number of time and t be the amount of time
Click here to see answer by ikleyn(52794) About Me 

Question 1099623: What is the x and y intercept of f(x) = -2?
I wrote X-intercept as (-2,0) and Y-intercept as (0,-2) but the answer key says its wrong. Please help.

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

Question 1099628: If the line Y = 2X - 1 is changed to Y = -2X - 4, how will the graph of the line change?
Please help.

Click here to see answer by richwmiller(17219) About Me 

Question 1099679: A certain band charges $51 per ticket for concerts when 1694 people attend. The band members realize that for every $3 increase in the ticket price 22 fewer people will attend the concert. Find a revenue function R in terms of x where x represents the number of additional $3 increases in the ticket price.
1.) R(x)=
2.) What should the ticket price be for the band to maximize its revenue? $
3.) How many people will attend the concert when the revenue is maximized?
4.) What is the band's maximum revenue? $


I'm having trouble figuring out this problem, any help is much appreciated! Thank you!

Click here to see answer by ankor@dixie-net.com(22740) About Me 

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, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 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