Questions on Algebra: Polynomials, rational expressions and equations answered by real tutors!

Tutors Answer Your Questions about Polynomials-and-rational-expressions (FREE)

Question 162987: How can you expand
Click here to see answer by Earlsdon(6287)

Question 162998: (k-^6)^7
Click here to see answer by jim_thompson5910(28595)

Question 163000: (2n-^3)^3
Click here to see answer by jim_thompson5910(28595)

Question 162999: Base of a triangle is 7cm greater than the height. The area is 22cm². Find the height and length of the base. Height____ base _____.

Click here to see answer by jojo14344(1512)

Question 163020: Solve for x
x^2-x+4=0
Click here to see answer by jim_thompson5910(28595)

Question 163023: Add
(6x^2 - xy + y^2) + (-x^2 - 5xy + 7y^2)
Click here to see answer by joecbaseball(37)

Question 163017: Convert to decimal notation
4. 5.693*10-^8

Click here to see answer by checkley77(12569)

Question 163085: can someone please help me with these two problems:
State whether the parabola opens upward or downward.
1. f(x) = 8(x-2)^2 - 4
2. f(X) = 1/2X^2 - 1
Click here to see answer by checkley77(12569)

Question 163257: Assignment is from website an online class therefore there is no textbook to be concern with. Question please help me solve the following problem (x^4-2x^2+3) divided by (x+1)
Click here to see answer by stanbon(57361)

Question 163200: can someone show me how to do this problem:
Solve the problem.
If the average cost per unit C(x) to produce x units of plywood is given by:

C(x) = 900 / x + 30
What do 600 units cost? Round your answer to the nearest cent.
a. $857.14
b. $899.95
c. $180.00
d. $18,000.00
Click here to see answer by checkley77(12569)

Question 163198: can someone show me how to do this problem:
Determine the vertex of the parabola.
y = 2x^2 =- 16x + 37
Click here to see answer by checkley77(12569)

Question 163238: I need help dividing these. We need to use long division. I just need the answers to double check with mine. Thanks soooo much! (--------- means divided by)
1. 2a^3-4a+38a-76
--------------
a-2

2. -3x^3-16x^2+x+19
------------------
-x+1

3. 22a^3+59a^2+49a+15
--------------------
2a+3

4. 4b^3+4b^2+42b+42
----------------
2b+2

5. a^3-2a^2+16a-32
---------------
a-2

6. -36b^3-32b^2+9b+8
------------------
2b+1
Click here to see answer by vleith(2825)

Question 163212: can someone show me how to do this problem:
Write a cost function for the problem. Assume that the relationship is linear.
A cab company charges a base rate of $1.50 plus 15 cents per minute. Let C(x) be the cost in dollars of using the cab for x minutes.
a. C(x) = 1.50x + 0.15
b. C(x) = 1.50x - 0.15
c. C(x) = 0.15x - 1.50
d. C(x) = 0.15x + 1.50
Note, the base rate of $1.50 is constant; it will not change whether you use the phone 1 second or 100 minutes, so there should be no variable (in math represented by a letter) next to it.....This makes A and B wrong.
The amount that will vary depending on how many minutes you use is the 15 cents which in money is represented as $0.15.....note this amount is per minute so to find how much it would be for x number of minutes you multiply $0.15x
Final answer:
C(x)=0.15x + 1.50
Why is c wrong? Because C is assuming we are deducting or taking away $1.50 this would only be true if our problem had stated this was a discount, saving, deduction, etc....but our prolbem said this was a base amount (amount that must be paid regardless, kind of like your phone plan....where you pay an specific amount regardless of whether you use call any one or not....)
ANSWER; D

Click here to see answer by eperette(173)

Question 163209: can someone show me how to do this problem:
Suppose that the speed (in m/sec) of a particle moving on the x-axis at time t seconds (t is greater than or equal to 0) is given by:
V(t) = t^3 - 8t^2 + 15t + 10.
By sketching a graph of V(t), estimate during what time period the speed of the particle is less than 10m/sec.
a. Between about t = 2 and t = 4 seconds
b. Between about t = 4 and t = 6 seconds
c. Between about t = 4 and t = 5 seconds
d. Between about t = 3 and t = 5 seconds
Click here to see answer by Edwin McCravy(8909)

Question 163331: Can you please help me with this problem? I am stumped!
Find a value for k that will make 4x^2+6.4x+k a perfect square. I need to describe the procedure that I used.
All I can figure so far is:
k=?
4x^2+6.4x+k
Click here to see answer by ptaylor(2048)

Question 163394: 1. Simplify by removing factors of 1.
r^2-64
_______________

r^2 - 16r + 64

Click here to see answer by checkley77(12569)

Question 163379: I am having trouble doing these problems. Can you help me.
2. Solve the following:
i. -2x = 3x + 4
ii. 3x/4 = 6
iii. y/6 + 1 = 9
iv. 6 = -2x/4
v. Find f(1) for f(x) = 4x3 - 3x2 - x + 2
vi. A function gives the value of C as 2 × (22/7) × r. Find C when r = 21 cm and r = 84 cm.

Click here to see answer by checkley77(12569)

Question 163501: Factor by grouping.
61. 3c-c^2+3d-cd
My solution. Please help i'm not sure if i am doing the problem correctly.
=(c-c)+c(2+c)
=(3d-d)(3+cd)
=3d+2c+dc

Click here to see answer by checkley77(12569)

Question 163494: . Factor completely:
x3y – 3x2y – 10xy
can sommone help
Click here to see answer by checkley77(12569)

Question 163438: hi....im having some problems understanding the sum and difference of cubes.....with these two problems....98a to the third power - 8a to the fifth power and problem....3a to the fifth power + 81a to the second power b to third power.............i hope you can understand how im writing these problems because i dont know how to type powers when writing the problems out. thanks for any help
Click here to see answer by checkley77(12569)

Question 163533: can someone please help me with this problem:
A certain radioactive isotope decays at a rate of 0.25% annually. Determine the half - life of this isotope, to the nearest year.
a. 120 years
b. 277 years
c. 200 years
d. 3 years
Click here to see answer by Fombitz(13828)

Question 163555: can someone help with this problem:
Solve the equation.
log2 x = 3
a. 8
b. 6
c. 100
d. 9
Click here to see answer by scott8148(6628)

Question 163572: directions: solve the problem
a machine can fill 2132 boxes of cereal in 0.4 hour. How many boxes of cereal can it fill per hour?
Click here to see answer by checkley77(12569)

Question 163571: directions: solve the problem
a machine can fill 2132 boxes of cereal in 0.4 hour. How many boxes of cereal can it fill per hour?
Click here to see answer by checkley77(12569)

Question 163634: The problem I am stuck on is this:
Find k so that (x+3) is a factor of (x^3+kx^2+kx-15)
Click here to see answer by stanbon(57361)

Question 163638: I wanted you to check my answers on these two problems:
1) Problem: (2-4i)(2-i)
4-2i-4i-4i^2
4-6i-4i^2
4-6i-4i^2(-1)
4-6i+4
answer: 8-6i
2) Problem: 3+5i/1+i
3+5i/1+i . i/i
3i+5i^2/i+i^2
3i+5(-1)/i+i(-1) = -3i-5/-1-1 =
answer: -3i-5/-2i
Thanks.

Click here to see answer by checkley77(12569)

Question 163570: directions say: perform the indicated operation and simplify
6 over r + 9 over r-7
Click here to see answer by checkley77(12569)

Question 163565: find the least common denominator of 4 over x squared +9x+18 and 9 over x squared +5x +6
Click here to see answer by checkley77(12569)

Question 163568: directions say: perform the indicated operation and simplify
6 over r + 9 over r-7
Click here to see answer by checkley77(12569)

Question 163715: I am looking for the width of a golden rectangle where the length is given as
36inches.
The formula I have been given is where length divided by
width is equal to width divided by length minus width.
Can you help me?
Click here to see answer by Edwin McCravy(8909)

Question 163773: 3t-2(t+3)=t
Click here to see answer by jim_thompson5910(28595)

Question 163777: x-2/6=36/55
Click here to see answer by jim_thompson5910(28595)

Question 163777: x-2/6=36/55
Click here to see answer by jojo14344(1512)

Question 163775: yx-a=cx solve for x
Click here to see answer by joecbaseball(37)

Question 163774: 5x=y solve for x
Click here to see answer by edjones(7569)

Question 163786: can someone please help me with this problem:
Solve the equation for s.
3 - r = log (7s + 8)

a. 10^3 - r - 8 / 7
b. 7 / 11 + r
c. 11 + r / 7
d. 10^11 + r
Click here to see answer by nabla(475)

Question 163885: x-24/x=-2x
Click here to see answer by checkley77(12569)

Question 163923: could you please help me again to solve this problem, last time i did not express my question properly, could uou please help me?
the question: 6 over r + 9 over r-7

Click here to see answer by stanbon(57361)

Question 163963: I am sorry that i do not have a isbn because i am taking this class online
would you still help me with the following problem, I would apprecitate it!
Directions say: add and than simplify the rational expressions:
7x over x + 6 plus 3 over x - 6
Click here to see answer by jim_thompson5910(28595)

Question 163962: I am sorry that i do not have a isbn because i am taking this class online
would you still help me with the following problem, I would apprecitate it!
Directions say: add and than simplify the rational expressions:
7x over x + 6 plus 3 over x - 6 = 7x+x+6+3+x-6=9x+3=9/3
Click here to see answer by 4294(1)

Question 163972: Hello I need to solve this and I havent done math for 5 years.could you please help me
what is the equation of th eline that contains the points with ( x, y ) coordinates ( -3, 7 ) and (5,-1)
thanks
tha answer is y= -x + 4 can you explain why>?
Click here to see answer by jim_thompson5910(28595)

Question 163988: Hi could someone help me with this Directions say simplify 20w+60 over 7w(w+3)
sorry i have no isbn number i am taking class online i am frazzled i can not take anymore please help
Click here to see answer by nerdybill(6961)

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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, 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