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# Recent problems solved by 'Alan3354'

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Quadratic_Equations/611159: 1. Which of the following is a quadratic equation that has roots of 2 1/2 and 2/3?
A) 5x^2 + 11x - 7 = 0
B) 6x^2 - 19x + 10 = 0
C) 5x^2 + 11x - 10 = 0
D) 6x^2 + 19x - 10 = 0

14. Solve by completing the square x2 - 6x - 4 = 0.
21. Solve by completing the square x2 - 2x - 5 = 0.

25. Solve by completing the square 3x2 - 8x - 6 = 0.

26. Solve the quadratic equation x2 + 8x + 12 = 0.

1 solutions

Answer 384844 by Alan3354(30993)   on 2012-05-15 10:11:09 (Show Source):
You can put this solution on YOUR website!
1. Which of the following is a quadratic equation that has roots of 2 1/2 and 2/3?
A) 5x^2 + 11x - 7 = 0
B) 6x^2 - 19x + 10 = 0
C) 5x^2 + 11x - 10 = 0
D) 6x^2 + 19x - 10 = 0
-------------------
(x - 5/2)*(x - 2/3) = 0
(2x - 5)*(3x - 2) = 0

--------------------------------
14. Solve by completing the square x2 - 6x - 4 = 0.

--------------------------
21. Solve by completing the square x2 - 2x - 5 = 0.
Same as #14
-------------
25. Solve by completing the square 3x2 - 8x - 6 = 0
Divide by 3, then same as #14
-----------------------
26. Solve the quadratic equation x2 + 8x + 12 = 0
 Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc) Quadratic equation (in our case ) has the following solutons: For these solutions to exist, the discriminant should not be a negative number. First, we need to compute the discriminant : . Discriminant d=16 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: -2, -6. Here's your graph:

 Quadratic_Equations/611153: A firecracker shoots up from a hill 140 feet high with an initial speed of 100 feet per second. Using the formula , approximately how long will it take the firecracker to hit the ground? Multiple choice : a) 5 seconds, b) 7seconds, c) 9 seconds, d) 11 seconds. 1 solutions Answer 384837 by Alan3354(30993)   on 2012-05-15 09:41:37 (Show Source): You can put this solution on YOUR website! A firecracker shoots up from a hill 140 feet high with an initial speed of 100 feet per second. Using the formula , approximately how long will it take the firecracker to hit the ground? -------------- At impact, h(t) = 0 Solve for t. Ignore the negative solution.
 Rational-functions/610912: I have gotten help from countless people with these word problems, but no one can answer them or help me solve them. One car travels 25mph faster than another. One car can travel 300 miles in the same time it takes another car to travel 450 miles. Fond the speed of the faster car.1 solutions Answer 384659 by Alan3354(30993)   on 2012-05-14 18:20:14 (Show Source): You can put this solution on YOUR website!I have gotten help from countless people with these word problems, but no one can answer them or help me solve them. ---------- What sort of help did you get? ------------------------ One car travels 25mph faster than another. One car can travel 300 miles in the same time it takes another car to travel 450 miles. Fond the speed of the faster car. --- d = r*t 300 = r*t 450 = (r+25)*t ----- 450 = r*t + 25t 450 = 300 + 25t t = 6 ------- 300 = r*t r = 50 ---- r+25 = 75 mi/hr
 Travel_Word_Problems/610903: When air is pumped into a tire, the pressure required varies inversely as the volume of the air. If the pressure is 30lb per square inch when the volume is 140 cubic inches, find the pressure when the volume is 100 cubic inches?1 solutions Answer 384657 by Alan3354(30993)   on 2012-05-14 18:16:38 (Show Source): You can put this solution on YOUR website!When air is pumped into a tire, the pressure required varies inversely as the volume of the air. If the pressure is 30lb per square inch when the volume is 140 cubic inches, find the pressure when the volume is 100 cubic inches? -------------------- That's not true. With a fixed volume, such as a tire, the pressure varies directly with the amount of air. Tires don't change from 140 to 100 cubic inches. ----------- Here's the fantasy land solution, tho. PV = k 30*140 = P*100 P = 42 psi
 Polynomials-and-rational-expressions/610878: 2x(squared)+15n+7 factor this. please & thank you!(:1 solutions Answer 384637 by Alan3354(30993)   on 2012-05-14 16:59:17 (Show Source): You can put this solution on YOUR website!2x(squared)+15n+7 factor this. ---------------- Hint: All the numbers are positive. 2 can only be 2*1 7 can only be 7*1 ------ There's a snag with x and n, tho.
 Polynomials-and-rational-expressions/610832: Hello So I have a test on polynomial stuff, factoring, completing the square, factoring trinomials, how to change from one form of an equation (general, vertex, factored form) is there any easy way to remember all this stuff because it seems for each equation you're doing somthing different and I'm so lost... Is there an easy way to remember it all?1 solutions Answer 384636 by Alan3354(30993)   on 2012-05-14 16:55:32 (Show Source): You can put this solution on YOUR website!I have a test on polynomial stuff, factoring, completing the square, factoring trinomials, how to change from one form of an equation (general, vertex, factored form) is there any easy way to remember all this stuff because it seems for each equation you're doing somthing different and I'm so lost... Is there an easy way to remember it all? ---------------- The only reasonable approach is to do some of the problems. Look at the solved problems on this site, but don't just look at them. If you work some, you'll remember what you did, and how to do them.
 Travel_Word_Problems/610861: If the speed limit is 35 miles per hour, how long will it take you to go 1.6 miles? 1 solutions Answer 384631 by Alan3354(30993)   on 2012-05-14 16:28:43 (Show Source): You can put this solution on YOUR website!If the speed limit is 35 miles per hour, how long will it take you to go 1.6 miles? --------- d = r*t t = d/r
 Triangles/610841: What are the 3 angles of a right triangle with a 4 foot base and a 1 foot height?1 solutions Answer 384624 by Alan3354(30993)   on 2012-05-14 16:06:38 (Show Source): You can put this solution on YOUR website!What are the 3 angles of a right triangle with a 4 foot base and a 1 foot height? ------------- 1 angle = 90 degs 1 = arctan(1/4) 1 = arctan(4)
 Surface-area/610850: What is the area of a regular hexagon whose radius is 24? I have that the apothem is 12 sqrt(3). and the formula we are supposed to use is 1/2 apothem * perimeter1 solutions Answer 384622 by Alan3354(30993)   on 2012-05-14 16:04:32 (Show Source): You can put this solution on YOUR website!What is the area of a regular hexagon whose radius is 24? I have that the apothem is 12 sqrt(3). and the formula we are supposed to use is 1/2 apothem * perimeter ------------ , n = 6, r = 24
 percentage/610723: How many sixteenths are there in 87 1/2%? A)7 B)14 C)3.5 D)13 E)151 solutions Answer 384611 by Alan3354(30993)   on 2012-05-14 14:31:38 (Show Source): You can put this solution on YOUR website!How many sixteenths are there in 87 1/2%? A)7 B)14 C)3.5 D)13 E)15 ---------------- 87.5% = 87.5/100 = 7/8 7/8 = 14/16
 Travel_Word_Problems/610774: Sara travels up a hill at 20 mph. and back down at 160 mph. what is the average speed for the entire trip?1 solutions Answer 384608 by Alan3354(30993)   on 2012-05-14 14:15:32 (Show Source): You can put this solution on YOUR website!Sara travels up a hill at 20 mph. and back down at 160 mph. what is the average speed for the entire trip? ---------------- Avg = 2*20*160/(20 + 160) = 6400/180 Avg = 320/9 mi/hr Ave = 35.777... mi/hr
 Travel_Word_Problems/610754: IF A RACING HORSE CAN RUN AVERAGE OF 27MILES PER HOUR,HOW LONG WOULD IT TAKE IT TO RUN 3MILES.?1 solutions Answer 384555 by Alan3354(30993)   on 2012-05-14 11:28:23 (Show Source): You can put this solution on YOUR website!IF A RACING HORSE CAN RUN AVERAGE OF 27MILES PER HOUR,HOW LONG WOULD IT TAKE IT TO RUN 3MILES.? -------------- d = r*t t = d/r
 Geometry_Word_Problems/610763: How do you find a New Diameter of a sphere decreasing in size, using only the Old Diameter(I heard it's d2 = [percent your taking off] x d1 Is that correct)?1 solutions Answer 384554 by Alan3354(30993)   on 2012-05-14 11:26:38 (Show Source): You can put this solution on YOUR website!How do you find a New Diameter of a sphere decreasing in size, using only the Old Diameter(I heard it's d2 = [percent your taking off] x d1 Is that correct)? ------------------- You'll have to be more specific.
 logarithm/610716: 2^z=8 thank you (:1 solutions Answer 384553 by Alan3354(30993)   on 2012-05-14 11:19:06 (Show Source): You can put this solution on YOUR website!2^z=8 ----------- If you recognize that 8 = 2^3: 2^z = 2^3 x = 3 -------- If you don't: z*log(2) = log(8) z = log(8)/log(2) z = 3
 Travel_Word_Problems/610750: how many hours will it take to travel 2133 miles by plane?1 solutions Answer 384551 by Alan3354(30993)   on 2012-05-14 11:04:05 (Show Source): You can put this solution on YOUR website!how many hours will it take to travel 2133 miles by plane? ------------- d = r*t t = d/r = 2133/r, r in mi/hr --> t in hours
 Volume/610658: in a diesel fuel tank on an 18 wheel semi truck that has a 44 inch length 24 inch diameter and the ends are bowl shaped approximately 2 inches deep the total gallons are 100 what is the way to determin how many gallons are in the tank using a stick incremented in inches1 solutions Answer 384496 by Alan3354(30993)   on 2012-05-13 23:05:59 (Show Source): You can put this solution on YOUR website!in a diesel fuel tank on an 18 wheel semi truck that has a 44 inch length 24 inch diameter and the ends are bowl shaped approximately 2 inches deep the total gallons are 100 what is the way to determin how many gallons are in the tank using a stick incremented in inches -------------- What is the apx distance from the end on the cylindrical part to the end of the "bowl" shape?
 Problems-with-consecutive-odd-even-integers/610637: if x represents the first, or smallest of three consecutive even integers, express the sum of the three integers in form of x.1 solutions Answer 384490 by Alan3354(30993)   on 2012-05-13 22:04:07 (Show Source): You can put this solution on YOUR website!if x represents the first, or smallest of three consecutive even integers, express the sum of the three integers in form of x. --------- x x+2 x+4 ---- Add 3x + 6
 Geometry_Word_Problems/610627: YOU WANT TO ENCLOSE A TRIANGULAR VEGTABLE GARDEN WITH FENCING. how many FEET of fencing do you need?1 solutions Answer 384488 by Alan3354(30993)   on 2012-05-13 21:52:21 (Show Source): You can put this solution on YOUR website!YOU WANT TO ENCLOSE A TRIANGULAR VEGTABLE GARDEN WITH FENCING. how many FEET of fencing do you need? ------------- It depends on the size.
 Quadratic-relations-and-conic-sections/610636: find the radius and center of the circle x^2+(y+8)^2 =491 solutions Answer 384487 by Alan3354(30993)   on 2012-05-13 21:51:11 (Show Source): You can put this solution on YOUR website!find the radius and center of the circle x^2+(y+8)^2 =49 -------- r = 7 Center @ (0,-8)
 Travel_Word_Problems/610628: If a vehicle is traveling at 67 mph and another vehicle wants to catch the vehicle traveling at 67 mph within one mile, how fast would the 2nd vehicle have to travel in order to catch the 1st vehicle if the 1st vehicle was 1/2 mile away at the time the 2nd vehicle began excelleration? 1 solutions Answer 384484 by Alan3354(30993)   on 2012-05-13 21:29:11 (Show Source): You can put this solution on YOUR website!If a vehicle is traveling at 67 mph and another vehicle wants to catch the vehicle traveling at 67 mph within one mile, how fast would the 2nd vehicle have to travel in order to catch the 1st vehicle if the 1st vehicle was 1/2 mile away at the time the 2nd vehicle began excelleration? ----------------- Within one mile of what? The position of the lead vehicle? Or the position of the chase vehicle?
 Expressions-with-variables/610623: B^2=192. how do you get to 8 times square root 3?1 solutions Answer 384482 by Alan3354(30993)   on 2012-05-13 21:17:55 (Show Source): You can put this solution on YOUR website!B^2=192. how do you get to 8 times square root 3? ---------- =
 Quadratic-relations-and-conic-sections/610534: What is a good project with a picture of 2 circles, 2 ellipses, 2 hyperboles and all of there eqautions?1 solutions Answer 384474 by Alan3354(30993)   on 2012-05-13 19:45:56 (Show Source): You can put this solution on YOUR website!What is a good project with a picture of 2 circles, 2 ellipses, 2 hyperboles and all of there eqautions? ------------ check the paths of planets, comets & asteroids
 Quadratic_Equations/610554: I could use some help on this problem. Which of these is the first step in solving x^2 + 6x + 1 = 0 by completing the square? a. (x + 6)^2 = -1 b. x^2 + 6x = -1 c. x^2 + 6x + 9 - 9 + 1 = 0 d. (x + 6)^2 + 1 = 1 I came up with A., but I'm not sure if that is correct. 1 solutions Answer 384463 by Alan3354(30993)   on 2012-05-13 18:20:34 (Show Source): You can put this solution on YOUR website!Which of these is the first step in solving x^2 + 6x + 1 = 0 by completing the square? a. (x + 6)^2 = -1 b. x^2 + 6x = -1 c. x^2 + 6x + 9 - 9 + 1 = 0 d. (x + 6)^2 + 1 = 1 I came up with A., but I'm not sure if that is correct. ------------ B is the next thing to do, taking it one step at a time.
 test/610549: 1 1/2 - 3/4=1 solutions Answer 384456 by Alan3354(30993)   on 2012-05-13 17:52:01 (Show Source): You can put this solution on YOUR website!duplicate
 test/610548: 1 1/2 - 3/4=1 solutions Answer 384455 by Alan3354(30993)   on 2012-05-13 17:51:31 (Show Source): You can put this solution on YOUR website!3/4
 Exponential-and-logarithmic-functions/610546: Solve 1 solutions Answer 384454 by Alan3354(30993)   on 2012-05-13 17:51:00 (Show Source): You can put this solution on YOUR website!Solve ---------- (9x-2)*log(125) = log(150)
 Average/610540: Solve for x 2x+6=15x1 solutions Answer 384453 by Alan3354(30993)   on 2012-05-13 17:40:57 (Show Source): You can put this solution on YOUR website!Solve for x 2x+6=15x ----------- Subtract 2x from both sides
 test/610538: http://www.illiniwest.org/vimages/shared/vnews/stories/49d279d35e563/Notes%20Ch%2012.3.pdf Please help me with #13. Thank you.1 solutions Answer 384452 by Alan3354(30993)   on 2012-05-13 17:35:44 (Show Source): You can put this solution on YOUR website!http://www.illiniwest.org/vimages/shared/vnews/stories/49d279d35e563/Notes%20Ch%2012.3.pdf Please help me with #13. Thank you. ------- I did #13
 Probability-and-statistics/610539: Erin's soccer team has won 17 of their 20 games this season. What is the probability that they will win their next game?1 solutions Answer 384450 by Alan3354(30993)   on 2012-05-13 17:29:36 (Show Source): You can put this solution on YOUR website!Erin's soccer team has won 17 of their 20 games this season. What is the probability that they will win their next game? --------------- There are many factors. Injuries, schedules, sizes, which team god picks based on the locker room prayers, enthusiasm... History is not one of them.
 Polynomials-and-rational-expressions/610523: 3/x + 2/a = 9/2x I keep getting 12a-4x/2xa but that is not one of the answers! Please help!1 solutions Answer 384449 by Alan3354(30993)   on 2012-05-13 17:19:18 (Show Source): You can put this solution on YOUR website!3/x + 2/a = 9/2x I keep getting 12a-4x/2xa but that is not one of the answers! Please help! ------------ Help with what? You didn't say what you want to do.
 �t�e�s�t/610496: In the figure below, the lengths of DE 12 , EF 7 , and FG 10 are given, in units. What is the area, in square units, of ∆DEG ?1 solutions Answer 384431 by Alan3354(30993)   on 2012-05-13 15:26:31 (Show Source): You can put this solution on YOUR website!In the figure below, the lengths of DE 12 , EF 7 , and FG 10 are given, in units. What is the area, in square units, of ∆DEG ? ---------- No figure is shown. ---- ----------