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Graphs/295684: y = 6x + 41, 4x + 9y = -95 Solve using either elimination or substitution 1 solutions Answer 213115 by Fombitz(13828)   on 2010-04-23 10:31:39 (Show Source): You can put this solution on YOUR website! 1. 2. Substitute eq. 1 directly into eq. 2, Then for eq. 1, . . . (-8,-7)

Quadratic-relations-and-conic-sections/295516: A signal flare is fired upward from ground level at an initial speed of 294 m/s. A balloon is at 2450m and passes it. How long will it be before the flare passes the balloon going down? (The answer is 40 sec but I don't understand how to get that) 1 solutions Answer 213111 by Fombitz(13828)   on 2010-04-23 10:21:17 (Show Source): You can put this solution on YOUR website! The flare is acting under the force of gravity with an initial upward velocity. where g is the gravitational constant (9.8 m/s^2), y is the flare's position from the ground (y=0 on the ground and moves positively upwards), t is time. C1 and C2 are constants that you solve for using your initial conditions. is velocity, the first derivative of position. is acceleration, the second derivative of position, first derivative of velocity. You know the initial velocity (t=0). . . . You also know the initial position (t=0). The flare is on the ground (y=0). Now you have the complete equation for the flare's position as a function of time. Solve for t when the flare is at the balloon position,. Use the quadratic formula, At time seconds, the flare passes the balloon going up and at seconds the flare passes the balloon going down. So seconds after the flare passes the balloon going up, it will pass the balloon going down.

Quadratic-relations-and-conic-sections/295500: how to put ((x^2)/81)-((y^2)/(-144/7))=1 into y equals form . i cannot figure out how to type this into my calculator. please help 1 solutions Answer 213108 by Fombitz(13828)   on 2010-04-23 10:03:28 (Show Source): You can put this solution on YOUR website! It's an ellipse.

Polynomials-and-rational-expressions/295676: I really don't know how to work out this problem....not even to just get started. -2a+18/19 - 4a-5/9 - a+5/9 =0 a=? 1 solutions Answer 213106 by Fombitz(13828)   on 2010-04-23 09:57:51 (Show Source): You can put this solution on YOUR website! First gather like terms and simplify, Now move all non-a terms to the right side. Divide both sides by .

Inequalities/295669: Simplify 4-2(8x+2)_x 1 solutions Answer 213105 by Fombitz(13828)   on 2010-04-23 09:53:10 (Show Source): You can put this solution on YOUR website! Could you explain what this means "_x"? It's unfamiliar.

Inequalities/295670: Simplify 4-2(8x+2)_x 1 solutions Answer 213104 by Fombitz(13828)   on 2010-04-23 09:52:22 (Show Source): You can put this solution on YOUR website! Could you explain what this means "_x"? It's unfamiliar.

Rational-functions/295503: Graph the rational funxtion f(x)=x^2+5x-6/x^2+2x-3. indentify the vertical and horizontal asymptotes, and any holes in the graph 1 solutions Answer 213103 by Fombitz(13828)   on 2010-04-23 09:51:05 (Show Source): You can put this solution on YOUR website! Simplify first. You can factor numerator and denominator and get rid of common factors, if there are any. Vertical asymptotes occur when the denominator goes to zero. For f(x), the denominator goes to zero when, To find horizontal asymptotes, divide numerator and denominator by the highest exponent x term, then take the limit. in the limit, the crossed out terms go to zero. So then There is a horizontal asymptote at . . . . Since there is a division by zero at , the value of is undefined. . . .

Linear-equations/295495: y=-1x-2 2x-3y=-9 how do you do this 1 solutions Answer 213100 by Fombitz(13828)   on 2010-04-23 09:39:04 (Show Source): You can put this solution on YOUR website! 1. 2. Use eq. 1 and substitute for y in eq.2, solve for x. Now use either eq. 1 or 2 to solve for y, eq. 1 is easier. . . . (-3,1)

Trigonometry-basics/295515: If x-8, what is the value of 4^0-3x^1/3 ? 1 solutions Answer 213099 by Fombitz(13828)   on 2010-04-23 09:35:57 (Show Source): You can put this solution on YOUR website! Do you mean if x=8?

Quadratic_Equations/295637: Identify the vertex and the y-intercept of the graph of the function y=-3(x+2)^2 +5. 1 solutions Answer 213098 by Fombitz(13828)   on 2010-04-23 09:33:35 (Show Source): You can put this solution on YOUR website! It's already in vertex form. Vertex: , To find the y-intercept, set x=0 and solve for y. (0,-7) . . .

Complex_Numbers/295664: solve by completingthe square 3x^2-8x+2=0 1 solutions Answer 213095 by Fombitz(13828)   on 2010-04-23 09:29:34 (Show Source): You can put this solution on YOUR website! or approximately . . .

Trigonometry-basics/295529: Convert this equation to a polar equation. y = 4x2 + 3x 1 solutions Answer 212996 by Fombitz(13828)   on 2010-04-22 22:41:41 (Show Source): You can put this solution on YOUR website! . . .

Sequences-and-series/295547: I'm doing series and sequences, and I'm having an issue with this problem: "Write the next term in the sequence. Then write a rule for the nth term." -5, 10, -15, 20,... I figured out that the next term in the sequence is -25, but I can't figure out a rule to explain it. We've tried everything that comes to mind, and the problem seems so simple but it feels as though something is just beyond my grasp. 1 solutions Answer 212995 by Fombitz(13828)   on 2010-04-22 22:37:15 (Show Source): You can put this solution on YOUR website! Alternating signs with multiples of 5. To get alternating signs, To get powers of 5, Now put it all together. . . .Let's check. . . .

Rational-functions/295558: Simplify ech rtional expression. State any restrictions on the variable. 2x over 4x^2 -2x 1 solutions Answer 212993 by Fombitz(13828)   on 2010-04-22 22:33:21 (Show Source): You can put this solution on YOUR website! First let's simplify, The denominator cannot equal zero. x can be any value except x=1/2.

Percentage-and-ratio-word-problems/295385: You roll a number cube four times. What is the probability that you roll a six, a five, a four, and a three? 1 solutions Answer 212878 by Fombitz(13828)   on 2010-04-22 16:39:04 (Show Source): You can put this solution on YOUR website! Each roll is an independent event and the probability for getting each number is 1/6. P(6,5,4,3)=(1/6)(1/6)(1/6)(1/6)=1/1296=0.00077

Linear_Equations_And_Systems_Word_Problems/295386: A helicopter blade is 2.75 m long and is rotating at 420 rpm. What is the linear velocity of the tip of the blade? 1 solutions Answer 212876 by Fombitz(13828)   on 2010-04-22 16:37:06 (Show Source): You can put this solution on YOUR website! The circumference of the circle traced out by the edge of the blade is given by It travels this circumference 420 times each minute. with units of meters/min. V=7257 meter/min*(1 min/60 sec)=121 m/s or about 271 mph.

absolute-value/295391: I understand the absolute-value notation are in bars, not parentheses or brackets. I also understand if there is a negative number in the bars, the absolute value becomes a positive number...... the question is: The absolute value of negative seven is less than or equal to seven. choices: a. | –7 | = 7 b. | –7 | < 7 c. | –7 | ≤ 7 d. | –7 | ≥ 7 I choose a and so did the teacher. Other students questioned her about it and now she is saying a is the wrong answer. I choose a because the question asked the absolute value of -7, | –7 | is less than or = to 7. Since the absolute value of -7 is 7 it cannot be less than...because they are equal. this is how I understand...please correct me if i'm wrong. if a isn't the correct answer, then none of the choices she gave would be right. b. | –7 | < 7 ~ the absolute value of -7 is 7 . 7 cant be less than 7 because 7=7 c. | –7 | ≤ 7 ~ the absolute value of -7 is 7. 7 does = 7 but is it not less than 7 d. | –7 | ≥ 7 ~ the absolute value of -7 is 7. 7 does = 7 but is it not greater than 7 THANKS!! 1 solutions Answer 212874 by Fombitz(13828)   on 2010-04-22 16:31:45 (Show Source): You can put this solution on YOUR website! I think the key is in the word "or" "less than or equal to" includes equal as does "greater than or equal to" The correct answers would be a,c, and d.

Mixture_Word_Problems/295319: A metallurgist has one alloy containing 40% aluminum and another contained 57% aluminum. How many pounds of each alloy must he use to make 54 pounds containing 51% aluminum. 1 solutions Answer 212868 by Fombitz(13828)   on 2010-04-22 15:35:15 (Show Source): You can put this solution on YOUR website! Let A be the number of pounds of 40% aluminum, B be the number of pounds of 57% aluminum. 1. 2. Use eq. 1, Substitue into eq. 2, Then from eq.1, . . . Use (or about lbs) of 40% alloy and (or about lbs) of 57% alloy to get lbs of 51% aluminum.

Finance/295310: What 5 consecutive odd integers is -5275? 1 solutions Answer 212866 by Fombitz(13828)   on 2010-04-22 15:27:37 (Show Source): You can put this solution on YOUR website! Could you please re-post your question in a more understandable manner?

Geometry_Word_Problems/295309: The diameter of a table tennis ball is 4 centimeters. How many square centimeters of plastic are needed to make a table tennis ball? 1 solutions Answer 212865 by Fombitz(13828)   on 2010-04-22 15:25:55 (Show Source): You can put this solution on YOUR website! The surface area of a sphere is given as in units of square centimeters.

Trigonometry-basics/295300: Please help me prove this Trig identity: 1 solutions Answer 212864 by Fombitz(13828)   on 2010-04-22 15:23:41 (Show Source): You can put this solution on YOUR website! This one should be self explanantory. Hint:

Quadratic_Equations/295363: what do you do if there is no real solution in a quadratic equation? 1 solutions Answer 212863 by Fombitz(13828)   on 2010-04-22 15:21:39 (Show Source): You can put this solution on YOUR website! If there are no real solutions, then your solutions will be complex.

Expressions-with-variables/295326: Hi, can you please help me with this? Solve using the indicated method. a) (square-root method) b) (completing the square method) 1 solutions Answer 212862 by Fombitz(13828)   on 2010-04-22 15:05:04 (Show Source): You can put this solution on YOUR website! a) . . . b)

real-numbers/295298: Oues.1 Find two irrational numbers between the numbers squareroot 2 and squareroot 3 ? 1 solutions Answer 212860 by Fombitz(13828)   on 2010-04-22 15:01:59 (Show Source): You can put this solution on YOUR website! Since they're not perfect squares, they are irrational. Or you could also do,

Linear-equations/295354: graph the line 2x-5y=-10 1 solutions Answer 212856 by Fombitz(13828)   on 2010-04-22 14:56:59 (Show Source): You can put this solution on YOUR website! Quickest way is to find the intercepts and plot them. To find the x-intercept, set y=0 and solve for x. (-5,0) To find the y-intercept, set x=0 and solve for y. (0,2) . . Plot those two points. Then connect them with a line. . .

Linear-equations/295302: Need to write the slope-intercept form of the equation 19/35y - 1514/35 = x 1 solutions Answer 212851 by Fombitz(13828)   on 2010-04-22 14:49:16 (Show Source): You can put this solution on YOUR website!

logarithm/295315: log(3x-3)=log(x+1)+log4 Solve Do I re-write as log(3x-3)-log(x+1)=log4 to start? 1 solutions Answer 212849 by Fombitz(13828)   on 2010-04-22 14:44:31 (Show Source): You can put this solution on YOUR website! There is an easier method available. However, since the log function only takes positive arguments, The solution must be greater than 1. No solution.

Expressions-with-variables/295323: Solve by the factoring method. Can you help me with this? 1 solutions Answer 212847 by Fombitz(13828)   on 2010-04-22 14:36:53 (Show Source): You can put this solution on YOUR website! Three solutions: . . . . . . . . . Verify graphically . . .

Graphs/295155: Find the intercepts, asymptotes, use limits to describe the behavior at the vertical asymptotes and analyze and draw the graph of f(x)=(x+1)/(x^2-3x-10) 1 solutions Answer 212786 by Fombitz(13828)   on 2010-04-22 09:07:10 (Show Source): You can put this solution on YOUR website! To find the y-intercept, set x=0 and solve for y. (0,-1/10) To find the x-intercept, set y=0 and solve for x. (-1,0) To find vertical asymptotes, look for x where the denominator goes to zero. Two solutions: . . . To find horizontal asymptotes, divide all terms by the highest order of x. Now take the limit as x goes to . So there is a horizontal asymptote at y=0. . . .

logarithm/295210: Please help me with solving a single logarithm of log(t+)+log(6) 1 solutions Answer 212781 by Fombitz(13828)   on 2010-04-22 08:54:17 (Show Source): You can put this solution on YOUR website! I think you've left out part of your first log argument. To make into a single logarithm, follow the log rule, So in your case, where Z is the missing part of your argument.

absolute-value/294858: x(|x-2|)>=0. x-2 is an absolute value. I thought the answer was x= all real numbers, but the x on the outside of the bracket messes that up. How do I approach this? 1 solutions Answer 212603 by Fombitz(13828)   on 2010-04-21 16:52:20 (Show Source): You can put this solution on YOUR website! Absolute value problems are really two problems in one. Positive solution (where ): This is true when and also when . . . Negative solution (where ): Break up the region into three regions, and test a point to check the inequality , No, not in the valid region. . . . , Yes, in the valid region. . . . , No, not in the valid region. So from the negative solution, the valid region would be (0,2). Put together with and , then the valid region is, ()