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Tutors Answer Your Questions about Inequalities (FREE)
Question 585171: I am trying to factor the following: (x^2+20xy+100y^2)z^2-16(x^2+20xy+100y^2)
Thank you for any help you can give me. I know each equation in the parenthesis is a special product but don't know really how to proceed? Thanking you inadvance for you're help! robin
Click here to see answer by stanbon(57361)  |
Question 585171: I am trying to factor the following: (x^2+20xy+100y^2)z^2-16(x^2+20xy+100y^2)
Thank you for any help you can give me. I know each equation in the parenthesis is a special product but don't know really how to proceed? Thanking you inadvance for you're help! robin
Click here to see answer by scott8148(6628)  |
Question 585244: Hello can you assist me please. I am trying to do this problem. Thanks.
Solve the inequality. Enter INFINITY for 00 and –INFINITY for -00 as needed.)
(there is an underline under the < I was not able to put it underneath)
4 < = 3-y
? _________, __________ ?
Click here to see answer by sofiyac(695) |
Question 588784: -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7
<_______________0_______________
open circle at zero and arrow pointimg at -5
Which inequality is graphed on the number line?
A) x > 0 B)x < 0
C) x < 0 D) x > 0
2.
-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3
closed circle on -5 arrow pointing at 3 >
Which inequality is graphed on the number line?
A) x > -5
B) x > -5
C) x < -5
D) x < -5
Click here to see answer by jim_thompson5910(28595) |
Question 589323: College tuition. Karen’s financial aid stipulates that her tuition not exceed $1000. If her local community college charges a $35 registration fee plus $375 per course, what is the greatest number of courses for which Karen can register?
Click here to see answer by richwmiller(9143)  |
Question 591229: A shuttle service taking skiers to a ski area charges $8 per person each way. Four skiers are debating whether to take the shuttle bus or rent a car for $45 plus $.25 per mile. Assuming that the skiers will share the cost of the car and that they want the least expensive method of transportation, how far away is the ski area if they choose to take the shuttle service? I know the answer is more than 38 miles.
8*2*4<45 + .25X
64<45 +.25X
I don't understand how you get 9.5<.25X and not 19 <.25X?? Please Help!
Click here to see answer by scott8148(6628) |
Question 591463: I am in dire need of help with this extreme elimination problem.
I have tried multiplying top and bottom by 2 as well as 2 and 3 but have not been able to find a way to equal out the x or y to cancel either out and continue with the equation.
Click here to see answer by derangoj(14) |
Question 592118: (Find the equation)well I found the slope of (-4,1)and(2,-2). which is -3/6= -1/2. that is in fraction form for rise over run. my computer does not have the fraction symbol. anyways im not sure if im suppose to change the -1/2 to 2/-1 than Divide.
Click here to see answer by scott8148(6628) |
Question 594419: 1. Find all roots of x3 + 2x2 + 2x + 1. Hint: Find the rational one(s) first.
A.
B.
C.
D.
2. Solve 2x = 5x2 for x.
A. 2.322
B. 0 and 2.322
C. 0 and 0.431
D. 0.431
3. Which of the following is not a property of logarithms?
A.
B.
C.
D.
4. A falling object has velocity 37(1 − e–0.4t) meters per second after t seconds of free fall. Which of the following statements is true?
A. Its initial velocity was 0 meters per second and its velocity after 10 seconds is –12.2 meters per second.
B. Its initial velocity was –1 meter per second and its velocity after 10 seconds is –36.3 meters per second.
C. Its initial velocity was 0 meters per second and its velocity after 10 seconds is 36.3 meters per second.
D. Its initial velocity was 1 meter per second and its velocity after 10 seconds is 12.2 meters per second.
5. How many roots does x6 = 3x5 + 1 have?
A. 6
B. 5
C. 11
D. 1
6. If 2 − i is a root of 3x3 − 11x2 + 11x + 5, then what are its other roots?
A.
B.
C.
D.
7. On which interval does the Intermediate Value Theorem guarantee that the polynomial x4 + 7x2 − 9x − 1 has a root?
A.
B.
C.
D.
8. If 1 and –6 are two of the roots of 6x4 + 31 x3 − 33x2 − 16x + 12, then what are the other two?
A.
B.
C.
D.
9. Which of these graphs could be the graph of y = ex + 1?
A.
B.
C.
D.
10. Why do we use the Intermediate Value and Bisection Theorems to find only the irrational roots of polynomials?
A. It is the only method available for finding irrational roots of any polynomial.
B. The Rational Roots Theorem is better for finding the rational roots.
C. Those theorems are unable to find rational roots.
D. No polynomial has rational roots.
11. A population of 2000 snakes is released into a marshland and grows according to the formula P = 2000 • 1.5t, where t is the number of months after the release. Find the population 10 months after the release.
A. 63,246
B. 115,330
C. 5.9 x 1034
D. 30,000
12. Write in terms of ln a, ln b, and ln c. You may assume that all variables are positive.
A.
B.
C.
D.
13. Which of these is the result of (x5 − x3 + 2x2 − 9x + 5) ÷ (x + 2)?
A.
B.
C.
D.
14. Evaluate .
A. 2
B. 4
C. ¼
D. ½
15. Find the point (x, y) on the parabola y = 9 − x2 such that the shaded rectangle in the figure below has area 20 square units.
A.
B.
C.
D.
16. Solve ln t = log 50 for t.
A. t = 5.47
B. t = 8166.3
C. t = 13.6
D. t = 50
17. Which of the following is the conclusion you can draw using Descartes' Rule of Signs applied to 2x4 − 6x3 + x2 + 7x − 4?
A. Zero is not a root.
There are either 1 or 3 positive real roots.
There are 3 negative real roots.
There are either 0 or 2 complex roots.
B. Zero is not a root.
There are either 1 or 3 positive real roots.
There are 3 negative real roots.
No information is available about the number of complex roots.
C. Zero is not a root.
There are either 1 or 3 positive real roots.
There is 1 negative real root.
There are either 0 or 2 complex roots.
D. Zero is not a root.
There are either 1 or 3 positive real roots.
There is 1 negative real root.
No information is available about the number of complex roots.
18. Which of these is the remainder when 4x4 − 5x3 + 9 is divided by x − 3?
A.
B.
C.
D.
19. Which of these could be the graph of y = 7x − 2?
A.
B.
C.
D.
20. Simplify .
A.
B. 216
C.
D. is already in simplified form.
21. Which of the following is a reason for why the trace function on a graphing calculator can sometimes be better than the Bisection Theorem for finding roots?
A. The trace function always finds an exact root.
B. The Intermediate Bisection Theorem applies only to continuous functions, and not all polynomials are continuous.
C. Some roots aren't surrounded by one positive and one negative value of the polynomial
D. The Bisection Theorem can't find roots to more than 3 decimal places.
22. If a cubic polynomial has roots –5 and 6 − 2i, what is its third root?
A. 1 − 2i
B. –30 + 10i
C. 6 + 2i
D. 5
23. Which of the following is a correct description of the expression logbx?
A. It is the power to which b must be raised to yield x.
B. It is the xth power of b.
C. It is the bth power of x.
D. It is the power to which x must be raised to yield b.
24. Which of the following is equal to log6(t + 1) − log6(t2 − 1)?
A. log6(t + 1)
B. log6t − log6t2
C. log6t
D. –log6(t − 1)
25. Which are upper and lower bounds for the real roots of 3x4 − 2x3 + x − 9 = 0?
A. –3 and –1, 1, and 3
B. –2 and 2
C. –2 and –1, 1, and 2
D. 0 and 3
Click here to see answer by Alan3354(30993)  |
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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
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