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

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 Algebra: Polynomials, rational expressions and equations Solvers Lessons Answers archive Quiz In Depth

 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 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 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 ankor@dixie-net.com(15656)

 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 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 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 gonzo(654)

 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 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)