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Question 1065695: The number of fatalities due to car crashes, based on the number of miles driven, begins to climb after the driver is past age 65. Aside from declining ability as one ages, the older driver is more fragile. The number of fatalities per 100 million vehicle miles driven is approximately
N(x) = 0.0336x^3 − 0.118x^2 + 0.215x + 0.7 (0 ≤ x ≤ 7)
where x denotes the age group of drivers, with x = 0 corresponding to those aged 50-54, x = 1 corresponding to those aged 55-59, x = 2 corresponding to those aged 60-64, . . . , and x = 7 corresponding to those aged 85-89. What is the fatality rate per 100 million vehicle miles driven for an average driver in the 50-54 age group? In the 85-89 age group?�
50-54 ??? fatalities/100 million mile
85-89 ??? fatalities/100 million mile

Click here to see answer by Boreal(15235)

Question 1065686: Find the rules for the composite functions f ○ g and g ○ f.
f(x) = 4x^2 + 7x + 7; g(x) = x + 9
f ○ g= ??
g ○ f= ??
Click here to see answer by Boreal(15235)

Question 1065719: slope -3, y-intercept {0, 7/8}
Click here to see answer by Alan3354(69443)

Question 1065737: What does the graph for this absolute value equation look like;
f(x) = /x+6/
Click here to see answer by Alan3354(69443)

Question 1065821: This is for introduction to problem solving. IF 2.1 plus 3.1 times a number equals the sum of the number and 26.7, what is the number?
Click here to see answer by Fombitz(32388)

Question 1065917: Trying to figure out the equation for the following word problem:
A carpenter is building a shelving system and cuts a 14-foot long of cherry, shelving into three pieces. The second piece is twice as long as the first, and the third piece is 2 feet longer than the first. Find the length of each piece of cherry shelving.
Help is greatly appreciated.
Click here to see answer by KMST(5328)

Question 1065918: A guy wire (a tensioned cable designed to add stability to a free-standing structure) is attached to a telephone pole whose height is 18 ft. If the wire is attached to the ground at a point 24 ft away from the base of the pole, what is the slope of the wire?

Click here to see answer by KMST(5328)

Question 1065919: Using the given equation find the missing coordinates of the points and then find the slope of the line for each equation
y=2x+3; A(...; 5), B(10; ...)
A (... 5), B (10...)
The slope is..

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

Question 1065914: A ladder leaning against the side of a building touches the building at a point 12 meters from the ground. If the foot of the ladder is 18 meters from the base of the building, what is the slope of the ladder?
Click here to see answer by Alan3354(69443)

Question 1065929: At the last dance at J.C. Richardson, 130 people in total attended. If a student has to pay $4.50 to come and a visitor has to pay $6.50 to come, how many students showed up if $617.00 was collected in total?
Click here to see answer by stanbon(75887)

Question 1065883: Consider the supply equation where x is the quantity supplied in units of a thousand and p is the unit price in dollars.
p = 2x^2 + 6
(a) Sketch the supply curve.
(b)Determine the price at which the supplier will make 3000 units of the commodity available in the market
$????

Click here to see answer by stanbon(75887)

Question 1065882: Consider the supply equation where x is the quantity supplied in units of a thousand and p is the unit price in dollars.
p = 2x^2 + 6
(a) Sketch the supply curve.
(b)Determine the price at which the supplier will make 3000 units of the commodity available in the market
$????
Click here to see answer by stanbon(75887)

Question 1065881: Consider the demand equation where x represents the quantity demanded in units of a thousand and p is the unit price in dollars.
p = −x^2 + 16
Determine the quantity demanded when the unit price is set at p = $7

Click here to see answer by Boreal(15235)

Question 1065880: In the pair of supply and demand equations below, x represents the quantity demanded in units of a thousand and p the unit price in dollars, find the equilibrium quantity and the equilibrium price.
p = 108 − 4x^2 and p = x^2 + 10x + 33

equilibrium quantity ??? Thousand units

equilibrium price ??? Dollars
Click here to see answer by stanbon(75887)

Question 1065879: The number of fatalities due to car crashes, based on the number of miles driven, begins to climb after the driver is past age 65. Aside from declining ability as one ages, the older driver is more fragile. The number of fatalities per 100 million vehicle miles driven is approximately
N(x) = 0.0336x^3 − 0.118x^2 + 0.215x + 0.7 (0 ≤ x ≤ 7)
where x denotes the age group of drivers, with x = 0 corresponding to those aged 50-54, x = 1 corresponding to those aged 55-59, x = 2 corresponding to those aged 60-64, . . . , and x = 7 corresponding to those aged 85-89. What is the fatality rate per 100 million vehicle miles driven for an average driver in the 50-54 age group? In the 85-89 age group?�
50-54 ??? fatalities/100 million mile
Click here to see answer by stanbon(75887)

Question 1065878: Let g be the function defined by
g(x) = { -1/2x+3 if x < 5
{
{ √x-5 if x ≥ 5
Find g(5)
g(5)= ??
Click here to see answer by stanbon(75887)

Question 1065876: Let g be the function defined by
g(x) = { -1/2x+3 if x < 5
{
{ √x-5 if x ≥ 5
Find g(5)

g(5)= ??

Click here to see answer by stanbon(75887)

Question 1066097: Find the slope-intercept form of the line perpendicular to the given line, passing through the given point. Graph the two lines.
y=-2x+5 (-3,4)
Click here to see answer by rothauserc(4718)

Question 1066133: Find an equation of a line that passes through (-2,4) and is horizontal
Click here to see answer by Fombitz(32388)

Question 1066133: Find an equation of a line that passes through (-2,4) and is horizontal
Click here to see answer by stanbon(75887)

Question 1066157: Which of the following equations is an example of direct variation
Of direct variation?a.y=-5x+2 b.x+y=2 c.3x=6y
d.y=3x-3
Click here to see answer by KMST(5328)

Question 1066174: Can you please help me with this question?
The equation y=0.5x represents the distance Joseph j\hikes in miles, over time, in hours. The graph represents the rate that Kelly hikes. Determine which hiker is faster.
Click here to see answer by Alan3354(69443)

Question 1066210: The larger of two numbers is 8 more than twice the smaller. The sum of the numbers is 10 less than three times the larger. Find the numbers.

Click here to see answer by josgarithmetic(39617)

Question 1066224: A tank can be filled by big pump in 20 hours and by a small pump in 80 hours.How long will it take to fill the tank both pumps together?
Click here to see answer by Theo(13342)

Question 1066226: a three digit number is equal to17 times the sum of its digits.
if 198 is added to the number, the digits are interchanged.
the addition of first and third digit is 1less than middle digit.
find the number
Click here to see answer by Edwin McCravy(20055)

Question 1066269: Find the rules for the composite functions f ○ g and g ○ f
f(x) = 8x^2 + 3x + 4; g(x) = x + 8
Click here to see answer by Boreal(15235)

Question 1066270: Find the functions f + g, f − g, fg, and f/g
f(x)=x^2+3;g(x)= √x+3
f+g=
f-g=
fg=
f/g=
Click here to see answer by swincher4391(1107)

Question 1066285: find the equation of the line 6,-2 and is perpendicular to the line y= -2x+8
Click here to see answer by swincher4391(1107)

Question 1066315: The sum of the lengths of any two sides of a triangle must be greater than the third side. If a triangle has one side that is 21 cm and a second side that is 3 cm less than twice the third side, what are the possible lengths for the second and third sides?
Click here to see answer by stanbon(75887)

Question 1066351: A taco contained approximately 1 kg of onion for every 6.6 kg of grilled steak. The total weight of the two ingredients was 617.6 kg. To the nearest tenth of a kilogram, how many kilograms of onions and how many kilograms of grilled beef were used to make the taco?
Click here to see answer by josmiceli(19441)

Question 1066456: Write an equation of a line through the point (-5,-2) that is perpendicular to the x-axis.State the slope of the line.
Click here to see answer by Boreal(15235)

Question 1066523: rebecca donated 170 coins to pennies for Patients, all of which are nickels and dimes. The total value of her donation is $13.10. How much money did rebecca donate in just nickels?
Click here to see answer by addingup(3677)

Question 1066521: Sketch a graph of the linear relation 8x+2y=24. Explain the procedure
Click here to see answer by josgarithmetic(39617)

Question 1066526: Find the equation of a line through (0,5) and is perpendicular to the line 3x_y= 7
Click here to see answer by josgarithmetic(39617)

Question 1066527: -2=-11/3(4) + b solve for b
My answer I get is b= -46/3, but when I entered the problem in WolframAlpha, they got b=38/3. I just want to know where I went wrong.

Here's mine:
y=-11/3x+b
-2=-11/3(4)+b
-2=-44/3+b
-b -b
-2-b=-44/3
+-2 +-2
b=-44/3+-2
b=-46/3
Can you show me where I went wrong?
Click here to see answer by ikleyn(52781)

Question 1066520: Sketch the graph of x = -5
Click here to see answer by Fombitz(32388)

Question 1066596: (x^2-3)^2+(x^2-3)-2=0
Click here to see answer by Boreal(15235)

Question 1066622: for the straight line defined by the point 3, 59 and 5, 87 determine the slope and y intercept

Click here to see answer by Boreal(15235)

Question 1066650: a line has a slope of -6 that passes through the point (-12,5). what is the equation of the line?
Click here to see answer by Alan3354(69443)

Question 1066647: How would you graph an equation that reads the slope is -2 and the y intercept is -2
Click here to see answer by rothauserc(4718)

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, 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, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240, 30241..30285, 30286..30330, 30331..30375, 30376..30420, 30421..30465, 30466..30510, 30511..30555, 30556..30600, 30601..30645, 30646..30690, 30691..30735, 30736..30780, 30781..30825, 30826..30870, 30871..30915, 30916..30960, 30961..31005, 31006..31050, 31051..31095, 31096..31140, 31141..31185, 31186..31230, 31231..31275, 31276..31320, 31321..31365, 31366..31410, 31411..31455, 31456..31500, 31501..31545, 31546..31590, 31591..31635, 31636..31680, 31681..31725, 31726..31770, 31771..31815, 31816..31860, 31861..31905, 31906..31950, 31951..31995, 31996..32040, 32041..32085, 32086..32130, 32131..32175, 32176..32220, 32221..32265, 32266..32310, 32311..32355, 32356..32400, 32401..32445, 32446..32490, 32491..32535, 32536..32580, 32581..32625, 32626..32670, 32671..32715, 32716..32760, 32761..32805, 32806..32850, 32851..32895, 32896..32940, 32941..32985, 32986..33030, 33031..33075, 33076..33120, 33121..33165, 33166..33210, 33211..33255, 33256..33300, 33301..33345, 33346..33390, 33391..33435, 33436..33480, 33481..33525, 33526..33570, 33571..33615, 33616..33660, 33661..33705, 33706..33750, 33751..33795, 33796..33840, 33841..33885, 33886..33930, 33931..33975, 33976..34020, 34021..34065, 34066..34110, 34111..34155, 34156..34200, 34201..34245, 34246..34290, 34291..34335, 34336..34380, 34381..34425, 34426..34470, 34471..34515, 34516..34560, 34561..34605, 34606..34650, 34651..34695, 34696..34740, 34741..34785, 34786..34830, 34831..34875, 34876..34920, 34921..34965, 34966..35010, 35011..35055, 35056..35100, 35101..35145, 35146..35190, 35191..35235, 35236..35280, 35281..35325, 35326..35370, 35371..35415, 35416..35460, 35461..35505, 35506..35550, 35551..35595, 35596..35640, 35641..35685, 35686..35730, 35731..35775, 35776..35820, 35821..35865, 35866..35910, 35911..35955, 35956..36000, 36001..36045