Tutors Answer Your Questions about test (FREE)
Question 298862: By cutting away identical squares from each corner of a rectangular piece of cardboard and folding up the resulting flaps, an open box may be made.
(a) If the cardboard is 15 in. long and 7 in. wide, find the dimensions of the box that will yield the maximum volume.
Click here to see answer by Earlsdon(6287) |
Question 299946: The organizer of a school concert set up chairs in two sections. the orchestra section has 84 chairs,and the audience section has 312 chairs. If all rows have the same number of chairs, what is the greatest number of chairs that each row can have?
Click here to see answer by checkley77(12569) |
Question 300362: Multiple Choice
1. Find the distance between the points (12, 8) and (4, 2).
1. 100 units
2. 14 units
3. 10 units-answer
4. –10 units
2. Find the midpoint of the points (3, 1) and (7, –5).
1. (1, 6)
2. (2, 1)
3. (2, –3)
4. (5, –2)-answer
3. Find the vertex and focus of the parabola whose equation is 4y = x2 + 4.
1. V(0, 4), F(0, 3)
2. V(0, 1), F(0, 2)-answer
3. V(4, 0), F(3, 0)
4. V(1, 0), F(2, 0)
4. Find the center and radius of the circle whose equation is x2 + 10x + y2 = 75.
1. C(–10, 0), r = 100
2. C(–10, 0), r = 10
3. C(–5, 0), r = 100
4. C(–5, 0), r = 10
5. Find the foci of the ellipse with the following equation.
1. F1(5, –2), F2(–3, –2)
2. F1(1, 2), F2(1, –6)
3. F1(4, –2), F2(–2, –2)
4. F1(1, 1), F2(1, –5)
6. Find the slopes of the asymptotes of a hyperbola with the following equation.
1. 8/9
2. 9/8
3. 8/9, –8/9
4. 9/8, –9/8
7. Identify the type of equation presented in x2 + y2 – 4x + 12y – 6 = 0.
1. parabola
2. circle-answer
3. ellipse
4. hyperbola
8. Solve the following system of equations.
x2 + y2 = 64
x2 + 64y2 = 64
1. (8, 0), (–8, 0)
2. (0, 8), (0, –8)
3. (8, 0)
4. (0, –8)
9. Find f(–2) for f(x) = –x3 – 2x2 + 7x + 1.
1. –1
2. –6
3. –13
4. –29
10. Identify the factors of the polynomial x3 + x2 – 14x – 24.
1. (x – 2)(x + 2)(x + 6)
2. (x + 2)(x + 3)(x – 4)-answer
3. (x + 1)(x – 3)(x + 8)
4. (x – 1)(x + 4)(x + 6)
11. Identify all rational zeros of the polynomial function f(x) = x3 + 2x2 – 5x – 6.
1. –1, 2, –3
2. –1, –2, 3
3. 1, –2, –3
4. 1, 2, 3
12. Identify all zeros of the polynomial function f(x) = x4 – 9x3 + 24x2 – 6x – 40.
1. –2, 4, 1 – i, 1 + i
2. –2, 4, 2 – i, 2 + i
3. –1, 4, 2 – i, 2 + i
4. –1, 4, 3 – i, 3 + i
13. Find f(g(–2)) if f(x) = 4x + 5 and g(x) = x2 – 1.
1. 8
2. 17
3. 12
4. 21
14. Identify the inverse of the function f(x) = –7x + 2.
1.
2.
3.
4.
15. Find the equations of the vertical and horizontal asymptotes for the graph of the rational function with the following equation.
1. x = 1, x = –5, y = 1
2. x = 1, x = –5, y = 0
3. x = –1, x = 5, y = 1
4. x = –1, x = 5, y = 0
16. If y varies inversely with x, and y = 6 when x = 18, find y when x = 8.
1. 13 ½-answer
2. 2 ⅔
3. 12
4. 24
17. If y varies jointly as x and z, and y = 60 when x = 10 and z = –3, find y when x = 8 and z = 15.
1. –240
2. –120
3. –15
4. –9.6
18. Simplify the following expression.
1.
2.
3.
4.
19. Simplify the following expression.
1.
2.
3.
4.
20. Solve the following equation.
1. no solution
2. –2
3. 3
4. 3, –2
21. Chase can do a job in 4 hours, while Campbell can do the same job in 2 hours. How long will it take the two of them to do the job together?
1. 6 hours
2. 3 hours
3. 2 ⅔ hours
4. 1 ⅓ hours
22. Solve the equation 4(x + 2) = 8(x – 1).
1. 4
2. 5
3. 7-answer
4. 8
23. Solve the equation log8 (x2 + 4x) = log8 12.
1. 2
2. 6
3. –2, 6
4. 2, –6-answer
24. Solve the equation log2 3 = log2 (7x – 8) – log2 x.
1. no solution-answer
2. 1
3. 2
4. 4
25. Find the antilogarithm of 1.7.
1. .2304
2. .5306
3. 5.47
4. 50.12-answer
26. Solve the equation ln x = 2. Round the answer to four decimal places.
1. 7.3891
2. .3010
3. .6931
4. 100
27. Solve the equation 8(x – 2) = 5x. Round the answer to three decimal places.
1. 9.578
2. 8.850
3. 5.293
4. 6.147
Click here to see answer by Fombitz(13828)  |
Question 300947: when the digits of a two-digit number are reversed,the new number is 9 more than the original number,and the sum of the digits of the original number is 11.What is the original number? (No one seems to help answer my question) PLEASE someone help me! Much Thanks to whoever does =)
Click here to see answer by ankor@dixie-net.com(15622)  |
Question 301713: Larry Mitchell invested part of his $17,000 advance at 2% annual simple interest and the rest at 9% annual simple interest. If his total yearly intrest from both accounts was $1,390, find the amount invested at each rate.
I am having a hard time with this word problem. Can you please help? I do not know where to begin or how to do it.
Thank you,
Maranda
Click here to see answer by richwmiller(9132)  |
Question 303891: 
where:
-1 ≤ x ≤ 2
Find the minimum, maximum, and range.
What I've tried:
We already know y = k

so:
y = k = 3
Next find the value for x:

Plug in the variables from the equation:
To solve, use:
x= -b/2a
so:
x= -0/2(1)
x=0
Vertex of a graph:
(x,y)
(0,3)
To find the minimum and maximum, take the original equation and calculate using the 3 different variables for x we now have. (-1, 0, and 2; since -1 ≤ x ≤ 2)

= 1 + 3
= 4

= 0 + 3
= 3

= 4 + 3
= 7
Minimum: 3
Maximum: 7
Range: [3,7] = 4
It's what I tried, but apparantly it's wrong. Can anyone help me see where I messed up? Thanks!!!
Click here to see answer by scott8148(6628)  |
Question 304083: Sandra wants to place a utilitarian door on the back entrance that leads to her patio. The solid plastic laminate door will be shaped like a rectangular solid and will measure 72 3/4 inches long and 32 2/3 inches wide; and will be 1 3/8 inch thick. How many cubic inches of plastic laminate material will be needed for the door? Give solution exactly as a mixed number. Include correct units with your answer.
Click here to see answer by mananth(12269)  |
Question 304083: Sandra wants to place a utilitarian door on the back entrance that leads to her patio. The solid plastic laminate door will be shaped like a rectangular solid and will measure 72 3/4 inches long and 32 2/3 inches wide; and will be 1 3/8 inch thick. How many cubic inches of plastic laminate material will be needed for the door? Give solution exactly as a mixed number. Include correct units with your answer.
Click here to see answer by Alan3354(30924)  |
|
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
|