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solver91311 answered: 16882 problems
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Quadratic_Equations/322271: how to do punt and square? 1 solutions Answer 230703 by solver91311(16897)   on 2010-07-13 23:54:06 (Show Source): You can put this solution on YOUR website! What? John

Graphs/322280: Write the equation in slope-intercept form to find the slope and the y-intercept. Then use the slope and the y-intercept to draw the line. x+y=4 1 solutions Answer 230701 by solver91311(16897)   on 2010-07-13 23:49:46 (Show Source): You can put this solution on YOUR website! Solve for in terms of everything else. Here, add to both sides. John

Expressions-with-variables/322204: y/(y+sqrt(y)) 1 solutions Answer 230666 by solver91311(16897)   on 2010-07-13 19:49:51 (Show Source): You can put this solution on YOUR website! Ok. So now what do you want to do with ? John

Quadratic_Equations/322209: 4.The equation h=-4t^2+16t+1.5 describes the path of a football, where t is the time in flight in seconds and h is the height of the football in metres. What is the maximum height of the football? 1 solutions Answer 230665 by solver91311(16897)   on 2010-07-13 19:45:26 (Show Source): You can put this solution on YOUR website! The maximum height is the value of the function at the time the ball reaches maximum height. Take the value of that you computed in the last problem and evaluate the function at that point. John

Quadratic_Equations/322210: The equation h=-4t^2+16t+1.5 describes the path of a football, where t is the time in flight in seconds and h is the height of the football in metres. At what time is the maximum height reached? 1 solutions Answer 230663 by solver91311(16897)   on 2010-07-13 19:42:03 (Show Source): You can put this solution on YOUR website! This is a parabola. Since the lead coefficient is negative, the parabola opens down, and therefore the vertex is a maximum. The value of the independent variable ( in this case) at the vertex is the negative of the coefficient on the first degree term divided by two times the lead coefficient. John

Quadratic_Equations/322212: The equation h=-4t^2+16t+1.5 describes the path of a football, where t is the time in flight in seconds and h is the height of the football in metres. How long is the football in the air (to the nearest second)? 1 solutions Answer 230662 by solver91311(16897)   on 2010-07-13 19:39:08 (Show Source): You can put this solution on YOUR website! The football is in the air until the height is zero. So, set your function equal to zero and solve for just like any other quadratic equation. . Exclude the negative root. John

Inverses/322213: 2 = (-4/3) It says to evalutate each expression and it must have a fraction answer. thank you ! 1 solutions Answer 230660 by solver91311(16897)   on 2010-07-13 19:35:24 (Show Source): You can put this solution on YOUR website! There is no fraction answer. The only answer to this is FALSE. 2 is a very different number from -4/3, so saying that they are equal is absurd. Now if there was supposed to be a variable in there somewhere, it would have been very nice -- no, more than very nice, let's say absolutely essential that you share it with us. This is Algebra.com. This is NOT the Psychic Hot Line. John

Quadratic_Equations/322195: Please show me how to solve a quadratic equation using the quadratic formula. Can you please provide an example of a quadratic equation and show how you solved it? I am struggling with this topic. 1 solutions Answer 230658 by solver91311(16897)   on 2010-07-13 19:27:50 (Show Source): You can put this solution on YOUR website! The general solution of a quadratic equation in standard form, namely is: Example: Here, , , and Therefore, or Example 2: Here, , , and Therefore, or Example 3: Here, , , and Therefore, or Where is the imaginary number defined by Where did it all come from? Consider the general form of the quadratic: Add the additive inverse of the constant term to both sides. Multiply both sides by the reciprocal of the lead coefficient: Divide the first degree coefficient by 2, square the result, then add that result to both sides: Factor the perfect square LHS and combine the fractions in the RHS: Take the square root of both sides, considering both positive and negative roots: Add to both sides: John

Rational-functions/322190: y/y+sqrt(y) 1 solutions Answer 230643 by solver91311(16897)   on 2010-07-13 18:53:07 (Show Source): You can put this solution on YOUR website! Do you mean which is precisely what you wrote, but is utterly trivial such that all you can do with it is: OR did you mean which you should have rendered as y/(y + sqrt(y)) so that the contents of the denominator would be clear? And, by the way, just exactly what was it you wanted to do with this cute and clever little expression? You actually have to tell us what you want. This is Algebra.com. It is NOT the Psychic Hot Line. John

Surface-area/322188: A metal worker is building a wire frame for a cubic box that is to have a volume of 27 cubic feet. What is the total length of the wire the metal worker will need? 1 solutions Answer 230641 by solver91311(16897)   on 2010-07-13 18:46:19 (Show Source): You can put this solution on YOUR website! If the box is a cube and the volume is 27 cubic feet, then each edge of the cube must measure , and a cube has 12 edges. John

Polynomials-and-rational-expressions/322152: Find all numbers for which the rational expression is undefined. t^3-9t/t^2-16. 1 solutions Answer 230640 by solver91311(16897)   on 2010-07-13 18:44:12 (Show Source): You can put this solution on YOUR website! Set the denominator equal to zero and solve. All zeros of the denominator polynomial must be excluded from the range of the rational function. John

Quadratic_Equations/322178: The equation describes the path of a football, where t is the time in flight in seconds and h is the height of the football in metres. (a)What is the maximum height of the football? 1 solutions Answer 230638 by solver91311(16897)   on 2010-07-13 18:40:24 (Show Source): You can put this solution on YOUR website! It would have been very handy if you had taken the trouble to share the equation with us -- and catastrophic that you failed to do so. Sorry. Can't help you. John

Quadratic_Equations/322179: The equation describes the path of a football, where t is the time in flight in seconds and h is the height of the football in metres. At what time is the maximum height reached? 1 solutions Answer 230637 by solver91311(16897)   on 2010-07-13 18:40:03 (Show Source): You can put this solution on YOUR website! It would have been very handy if you had taken the trouble to share the equation with us -- and catastrophic that you failed to do so. Sorry. Can't help you. John

Quadratic_Equations/322180: The equation describes the path of a football, where t is the time in flight in seconds and h is the height of the football in metres. How long is the football in the air (to the nearest second)? 1 solutions Answer 230636 by solver91311(16897)   on 2010-07-13 18:39:47 (Show Source): You can put this solution on YOUR website! It would have been very handy if you had taken the trouble to share the equation with us -- and catastrophic that you failed to do so. Sorry. Can't help you. John

Quadratic_Equations/322171: 1.For each quadratic function, state: direction of opening, vertex, equation of axis of symmetry, coordinates of maximum or minimum and domain and range. (a)y=-2x^2-3 1 solutions Answer 230634 by solver91311(16897)   on 2010-07-13 18:34:51 (Show Source): You can put this solution on YOUR website! The lead coefficient is positive, so it opens up. There is no 1st degree term, so the vertex is the -axis. Therefore the value of the -coordinate of the vertex is 0 and the value of the function when is zero is , hence the vertex is at the point . The axis of symmetry is the vertical line passing through the vertex. The equation of any vertical line is where is the -coordinate of any point on the line. Since we know the vertex is on the line and we have already determined that the -coordinate of the vertex is 0... The parabola opens upward, so the vertex is a minimum. The domain of any polynomial function with real-valued coefficients is the set of real numbers. The range of a parabola that opens upward is where is the -coordinate of the vertex. John

Linear-equations/322167: Use the point-slope form to write the equation of the line with the given properties. Write each equation in standard form. m = -3 passing through P(3, 5) 1 solutions Answer 230629 by solver91311(16897)   on 2010-07-13 18:26:01 (Show Source): You can put this solution on YOUR website! The point-slope form is: where are the coordinates of the given point and is the given slope. After you substitute the given values, rearrange your equation into standard form, namely: John

Linear-equations/322161: Exercises 25–44: Identify where ƒ is increasing and where ƒ is decreasing. ƒ(x) = 0.3x^2 - 4 cheers! thanks for the help 1 solutions Answer 230626 by solver91311(16897)   on 2010-07-13 18:22:40 (Show Source): You can put this solution on YOUR website! Your function is a quadratic polynomial with no first degree term. That means that the axis of symmetry is the y-axis. Furthermore, the lead coefficient is positive so the parabola opens upward. Decreasing on (] Increasing on [) John

Permutations/321834: In how many ways can Joe select 1 or more of 6 friends to a dinner party? 1 solutions Answer 230426 by solver91311(16897)   on 2010-07-12 20:00:19 (Show Source): You can put this solution on YOUR website! is the number of combinations of things taken at a time and is calculated by You need: You have a lot of arithmetic to do. John

Equations/321863: which 2 equations are parallel lines? a) y= -6x+9 b) y= 6x+4 c) y= 1/6x+4 d) y= -6x+4 1 solutions Answer 230420 by solver91311(16897)   on 2010-07-12 19:19:46 (Show Source): You can put this solution on YOUR website! The two with the same slope, that is the two with the same coefficient on x. John

Functions/321857: I need help figuring out how to work these problems. I will only submit one, and maybe that can help me figure out how to do the others. Please and Thank you very much! My directions: Solve using the five-step problem-solving process. Show all steps necessary to strive at your solution. The sum of twice a number and 4 less than the number is the same as the difference between -32 and the number. What is the number? 1 solutions Answer 230419 by solver91311(16897)   on 2010-07-12 19:18:46 (Show Source): You can put this solution on YOUR website! Let represent the number. Twice the number: 4 less than the number: The sum of ... Is the same as: The difference between -32 and the number: Putting it all together: Simplify and solve: Check: Twice the number: -14 4 less than the number -11 The sum -25 -32 - (-7) = -25 Checks. John

Coordinate-system/321861: 2x+5y=9 2x+5y=7 is this parallel penpendicular or neither 1 solutions Answer 230418 by solver91311(16897)   on 2010-07-12 19:11:18 (Show Source): You can put this solution on YOUR website! Otherwise, neither. John

Equations/321860: if the given is f(x) = -3 + 4, how do i find f(a+1) 1 solutions Answer 230417 by solver91311(16897)   on 2010-07-12 19:09:45 (Show Source): You can put this solution on YOUR website! I suspect you meant, "if " or something similar. If that was the case, if you want to evaluate , then just substitute for wherever it occurs in the function definition, thus: However, only being able to go on what you actually wrote: for any value of . That means that also. John

Miscellaneous_Word_Problems/321796: It takes 2 hours for 3 cooks to prepare the food for a wedding rehearsal dinner. How long will it take 5 cooks to prepare the dinner? Thanks to anyone who can help!! 1 solutions Answer 230415 by solver91311(16897)   on 2010-07-12 19:03:24 (Show Source): You can put this solution on YOUR website! If it takes 3 cooks 2 hours, then each cook can prepare of the meal in 2 hours, therefore each cook can prepare of the meal in one hour. So 5 cooks can prepare of the meal in one hour, hence 5 cooks can prepare one meal in hours. John

Square-cubic-other-roots/321844: Solve r = 2sqrt(5L) for the variable L; meaning isolate the L variable. 1 solutions Answer 230412 by solver91311(16897)   on 2010-07-12 18:44:27 (Show Source): You can put this solution on YOUR website! John

Linear-equations/321847: 4x-12y=4 4x-12y=5 wht is the solution of the system? 1 solutions Answer 230410 by solver91311(16897)   on 2010-07-12 18:39:24 (Show Source): You can put this solution on YOUR website! Identical slopes, different intercepts. System is inconsistent. John

Distributive-associative-commutative-properties/321852: Please help me solve this equation: 64x^2-128x-64 1 solutions Answer 230409 by solver91311(16897)   on 2010-07-12 18:37:52 (Show Source): You can put this solution on YOUR website! Already did this one. http://www.algebra.com/algebra/homework/Distributive-associative-commutative-properties/Distributive-associative-commutative-properties.faq.question.321815.html John

Linear-systems/321823: what is the property for this equation y = 3x – 6 and y = 2x + 4, so 3x – 6 = 2x + 4? 1 solutions Answer 230404 by solver91311(16897)   on 2010-07-12 17:48:57 (Show Source): You can put this solution on YOUR website! Transitive property of equality. If and , then John

Distributive-associative-commutative-properties/321830: Please help me solve this equation: Factor the following equation 64x^2-128x-64 1 solutions Answer 230403 by solver91311(16897)   on 2010-07-12 17:44:41 (Show Source): You can put this solution on YOUR website! Already did this one. http://www.algebra.com/algebra/homework/Distributive-associative-commutative-properties/Distributive-associative-commutative-properties.faq.question.321815.html John

Linear-systems/321832: Find an equation of the line with y intercept (0, -4) and slope of 1/3 1 solutions Answer 230402 by solver91311(16897)   on 2010-07-12 17:42:54 (Show Source): You can put this solution on YOUR website! The slope intercept form of a line is: Just plug in the numbers that you were given for and John

Distributive-associative-commutative-properties/321815: Please help me solve this equation: factor the following equation 64x^2-28x-64 1 solutions Answer 230401 by solver91311(16897)   on 2010-07-12 17:40:09 (Show Source): You can put this solution on YOUR website! Sorry, can't do what you ask. You asked to 'factor the following equation' but then you didn't provide the equation. You gave a quadratic trinomial. Equations are called equations because they have an equals sign in them. is an equation, but is NOT an equation and neither is . Be that as it may, the quadratic trinomial can be factored, but the question is: factored over what set of numbers? You can take a 4 out of each of the terms: And since which is NOT a perfect square, if you are factoring over the rationals, then you are done. But if you are factoring over the reals, which you can do because , then John

Linear-equations/321813: Solve for x. x−1 1 –9 x−7 = 0 STEP 1: Solve for the determinant in terms of x. x−1 1 –9 x−7 = STEP 2: Set your result from Step 1 equal to zero and solve for x. x = 1 solutions Answer 230398 by solver91311(16897)   on 2010-07-12 17:05:20 (Show Source): You can put this solution on YOUR website! You can take it from here. John