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 test/328909: Evaluate the exponential equation for three postive values of x, three negative values of x, and at x=0. Transform the second expression into the equivalent logarithmic equation; and evaluate the logarithmic equation for three values of x that are greater than 1, three values of x that are between 0 and 1, and at x=1. Use the resulting ordered pairs to plot the graph of each function. (((x=2^-(y-2)}}}1 solutions Answer 235648 by solver91311(16872)   on 2010-08-04 17:24:05 (Show Source): You can put this solution on YOUR website! Have already done this several times today. John
 Angles/328905: Please help me! Tomato Soup. The amount of metal S(in square inches) that it takes to make a can o tomato soup depends on the radius r and height h: S = 2Pi^2+2Pirh 1) Rewrite this formula by factoring out the GCF on the right- hand side. 2) Let h = 5in and write a formula that expresses S in terms of r.1 solutions Answer 235647 by solver91311(16872)   on 2010-08-04 17:22:58 (Show Source): You can put this solution on YOUR website! How many times to we have to do this same problem in one day? John
 Angles/328904: Please help me! Tomato Soup. The amount of metal S(in square inches) that it takes to make a can o tomato soup depends on the radius r and height h: S = 2Pi^2+2Pirh 1) Rewrite this formula by factoring out the GCF on the right- hand side. 2) Let h = 5in and write a formula that expresses S in terms of r.1 solutions Answer 235644 by solver91311(16872)   on 2010-08-04 17:22:16 (Show Source): You can put this solution on YOUR website! The first thing you have to do is to write your formula correctly. instead of Each term has a 2, each term has a , and each term has at least one , so: Next, plug in a 5: And now you have an expression for in terms of John
 logarithm/328883: Find three positive values, three negative values and for x=0 for f(x)=e^(x-4).1 solutions Answer 235641 by solver91311(16872)   on 2010-08-04 17:14:58 (Show Source): You can put this solution on YOUR website! Pick a positive value for . Substitute it into the function. Use your calculator to determine the value of the function. Do this two more times with two different values of . Pick a negative value for . Substitute it into the function. Use your calculator to determine the value of the function. Do this two more times with two different values of . Substitute zero for . Substitute it into the function. Use your calculator to determine the value of the function. John
 Graphs/328898: find an equation of the line having the given slope and containing the given point. m=5over6,(9,-6). The equation of the line is y=1 solutions Answer 235640 by solver91311(16872)   on 2010-08-04 17:09:55 (Show Source): You can put this solution on YOUR website! Use the point-slope form: where are the coordinates of the given point and is the given slope. then solve for to put the equation into slope-intercept form, John
 Graphs/328896: find an equation of the line having the given slope and containing the given point. m=4,(9,3). The equation of the line slope-intercept form is y=1 solutions Answer 235639 by solver91311(16872)   on 2010-08-04 17:08:59 (Show Source): You can put this solution on YOUR website! Use the point-slope form: where are the coordinates of the given point and is the given slope. then solve for to put the equation into slope-intercept form, John
 Graphs/328895: find the slope-intercept equation of the line that has the given characteristics. Slope 8 and y-intercept (0,7). The slope-intercept equation is y=1 solutions Answer 235638 by solver91311(16872)   on 2010-08-04 17:06:25 (Show Source): You can put this solution on YOUR website! Use the slope-intercept form: where is the given slope and is the -coordinate of the given intercept. John
 Graphs/328894: find the slope if it exists, of the line containing the pair of points. (-11,-6) and (-18,-15) The slope of m= 1 solutions Answer 235637 by solver91311(16872)   on 2010-08-04 17:04:32 (Show Source): You can put this solution on YOUR website! Use the slope formula: where and are the coordinates of the given points. If you end up with a zero denominator, the slope does not exist. John
 Graphs/328893: find the slope if it exists, of the line containing the pair of points. (1,4) and (10,7). The slope m=1 solutions Answer 235636 by solver91311(16872)   on 2010-08-04 17:04:10 (Show Source): You can put this solution on YOUR website! Use the slope formula: where and are the coordinates of the given points. If you end up with a zero denominator, the slope does not exist. John
 Coordinate-system/328892: Evaluate the exponential function for three postive values of x, three negative values of x, and at x=0. Use the resulting ordered pairs to plot the graph. State the domain and the range of the function. f(x) = e^-(x+5)1 solutions Answer 235635 by solver91311(16872)   on 2010-08-04 17:02:31 (Show Source): You can put this solution on YOUR website! Select any values that you like from the given intervals. Substitute each one, one-by-one, into the given function. Calculate the value of the function, which is to say, the value of . So, do it 7 times, once for each of the specified input values. The points to plot will be the ordered pairs formed by the input value as the first coordinate and the resulting value of the function as the second coordinate. The domain is all real numbers. The range is all f(x) where f(x) is real and greater than zero. John
 Graphs/328897: Evaluate the logarithmic funtion for three values of x between zero and one, three values of x greater than 1, and x=1. Show your work. Use the resulting ordered pairs to plot the graph. State the domain and the range of the function. Show the graph. g(x) = ln (x+2)1 solutions Answer 235634 by solver91311(16872)   on 2010-08-04 16:59:27 (Show Source): You can put this solution on YOUR website! Select any values that you like from the given intervals. Substitute each one, one-by-one, into the given function. Calculate the value of the function, which is to say, the value of . So, do it 7 times, once for each of the specified input values. The points to plot will be the ordered pairs formed by the input value as the first coordinate and the resulting value of the function as the second coordinate. The asymptote of is , so the asymptote of must be such that . So just set the function contained in the log argument equal to zero and solve for . The resulting statement will be the equation of the asymptote. The domain is related to finding the asymptote. In fact, once you have written the equation for the asymptote, just replace the equals sign with a greater than (>) sign and you have an expression for the domain. The range is all real numbers. John
 Exponential-and-logarithmic-functions/328864: Find a symbolic representation for q^-1(x) identify the domain and rage of q^-1(x) q(x)=(x-2)^2, x>_ 2 Either I was out to lunch for this one or I am making it way to hard...1 solutions Answer 235629 by solver91311(16872)   on 2010-08-04 16:40:54 (Show Source): You can put this solution on YOUR website! Step 1: Note the domain, , the being specified as part of the function definition, and the range Step 2: Replace with Step 3: Solve for in terms of Only the positive square root because of the restriction. Step 4: Swap variables and replace with The domain of the inverse is the range of the original function. The range of the inverse is the domain of the original function. Domain: Range: John
 Travel_Word_Problems/328875: The recipe requires 1/8 sugar to make 15 cookies. If i want to make 22 cookies, how much sugar do i need?1 solutions Answer 235618 by solver91311(16872)   on 2010-08-04 16:06:58 (Show Source): You can put this solution on YOUR website! The very best way to solve this problem is to simply double the sugar (and everything else in the recipe) and make 30 cookies. Then eat 8 of them. However, the likelihood of your teacher/instructor/professor accepting such an answer being as slim as it is, proceed thus: Create a proportion: Cross-multiply and solve for John
 Graphs/328879: sketch the graph of a straight line that has positive slope and a negative y-intercept 1 solutions Answer 235612 by solver91311(16872)   on 2010-08-04 15:58:06 (Show Source): You can put this solution on YOUR website! Pick a spot on the -axis below the axis. Draw a line through that spot that goes upward as you go from left to right, but not a vertical line. John
 Graphs/328877: The graph of which of the following equations is a straight line parallel to the graph of y = 2x ? A. 4x – y = 4 B. 2x – 2y = 2 C. 2x – y = 4 D. 2x + y = 2 E. x – 2y = 4 i need the steps. thank you.1 solutions Answer 235611 by solver91311(16872)   on 2010-08-04 15:55:56 (Show Source): You can put this solution on YOUR website! Take all of the answer equations and put them into slope-intercept form, to wit: Once you have done that, select the answer that has the same slope number as the given equation because: The slope number is just the coefficient on once the equation is in slope-intercept form. John
 Graphs/328868: Evaluate the logarithmic function for three values of x between zero and one,three values of x greater than 1, and atx=1. Show your work .Use the resulting ordered pairs to plot the graph; submit the graph. State the domain and the range of the function. g(x)=ln(x+2)1 solutions Answer 235609 by solver91311(16872)   on 2010-08-04 15:52:20 (Show Source): You can put this solution on YOUR website! Select any values that you like from the given intervals. Substitute each one, one-by-one, into the given function. Calculate the value of the function, which is to say, the value of . So, do it 7 times, once for each of the specified input values. The points to plot will be the ordered pairs formed by the input value as the first coordinate and the resulting value of the function as the second coordinate. The asymptote of is , so the asymptote of must be such that . So just set the function contained in the log argument equal to zero and solve for . The resulting statement will be the equation of the asymptote. The domain is related to finding the asymptote. In fact, once you have written the equation for the asymptote, just replace the equals sign with a greater than (>) sign and you have an expression for the domain. The range is all real numbers. John
 logarithm/328860: I'm working on a summer math review packet for school, and came across a logarithm problem that I can't seem to get correct: The answer sheet says the answer is 1, but I keep getting 2. Could you help me figure this out? Thanks!1 solutions Answer 235607 by solver91311(16872)   on 2010-08-04 15:38:08 (Show Source): You can put this solution on YOUR website! Your answer sheet is correct. First use: to write Then use the fact that the difference of the logs is the log of the quotient: to write: . Then use the definition of the logarithm function To write: Then use the fact that to write John
 Equations/328597: A sofa and a chair cost $850 as a set. The sofa cost$200 more than twice as much as the chair. The two equations that model this situation are: S = 850 - C C = (1/2)S - 100 What is the cost of the sofa? Cost of Sofa = \$ __.00 1 solutions Answer 235400 by solver91311(16872)   on 2010-08-03 20:04:45 (Show Source): You can put this solution on YOUR website! I would have written First of all, it more naturally follows the language of the problem. And second, it makes finding the solution set easier because you can just set the two expressions that are equal to equal to each other and solve for C. S follows directly. John
 Exponential-and-logarithmic-functions/328591: State the domain and the range of the exponential function f(x)=e^x.1 solutions Answer 235399 by solver91311(16872)   on 2010-08-03 19:57:24 (Show Source): You can put this solution on YOUR website! Domain: Range: John
 expressions/328589: how can i simplify : (-3x^2 + 4x - 7 ) + (2x^2 - 7x + 8)?1 solutions Answer 235395 by solver91311(16872)   on 2010-08-03 19:49:07 (Show Source): You can put this solution on YOUR website! Both sets of parentheses have + signs in front of them (the one on the left the + sign is understood) That means you can just get rid of the parentheses altogether. Then just collect like terms, terms, then terms, then constant terms. Pay careful attention to the signs when you add things together. John
 Radicals/328577: Does anyone know how to set this equation up ans simplify in the end? I am lost!1 solutions Answer 235392 by solver91311(16872)   on 2010-08-03 19:38:13 (Show Source): You can put this solution on YOUR website! No. No one can do what you ask. I don't know what "set this equation up" really means in the first place, and in the second place, there is no equation. An equation has an equals sign in it. That's why they call them "equations." Now, what you have is an expression. To the extent that what you meant was to ask for help simplifying the expression involving radicals, proceed thus: And that's the best you can do with this one. John
 Linear-equations/328578: how can i write an equation of the following line: vertical, through (5,4)?1 solutions Answer 235390 by solver91311(16872)   on 2010-08-03 19:27:23 (Show Source): You can put this solution on YOUR website! The equation of any vertical line is where is the -coordinate of any point through which the vertical line passes. John
 Polygons/328579: the sum of the measure of five exterior angles of a hexagon is 284. what is the measure of the sixth angle?1 solutions Answer 235389 by solver91311(16872)   on 2010-08-03 19:25:55 (Show Source): You can put this solution on YOUR website! The sum of the measures of the external angles of any polygon is John
 Radicals/328580: Stumped once again!!! 2x^2-5x-2 =0 How is the quadratic formula used to solve this equation? Anyone know?1 solutions Answer 235388 by solver91311(16872)   on 2010-08-03 19:24:02 (Show Source): You can put this solution on YOUR website! For For your problem: , , and so Just do the arithmetic and simplify. John
 Bodies-in-space/328399: What would the volume of the cylinder be if the height was doubled? Round your answer to the nearest tenth. 3inch width 7 inch height is the cylinder mesurement1 solutions Answer 235386 by solver91311(16872)   on 2010-08-03 19:17:12 (Show Source): You can put this solution on YOUR website! Double the height, double the volume. Hence John
 Length-and-distance/328541: In the standard (x, y) coordinate plane, the line that passes through (1, -7) and (-8, 5) is perpendicular to the line that passes through (3, 6) and (-1, b) . What is the value of b?1 solutions Answer 235384 by solver91311(16872)   on 2010-08-03 19:09:45 (Show Source): You can put this solution on YOUR website! Calculate the slope of your first line: where and are the coordinates of the given points. Calculate the slope of your second line: In order for the two lines to be perpendicular, the relationship must hold. So set And just solve for John
 Linear-equations/328441: if d=m/v,the value of m when d =5.1 and v= 0.3 is what?1 solutions Answer 235382 by solver91311(16872)   on 2010-08-03 18:57:15 (Show Source): You can put this solution on YOUR website! If then John
 Linear-equations/328551: find slope of the line passing through the pair points (2,3)&(-1,2) find the equation of a line passing through the given point with the given slope (6,2),m=1/3 Evaluate the functions: f(x)=6x-5 f(-2) f(5) Determine the slope and y intercept -7x+2y=3 2y=8x-61 solutions Answer 235379 by solver91311(16872)   on 2010-08-03 18:53:23 (Show Source): You can put this solution on YOUR website! One problem per post. For your first problem, use the two point form: where and are the coordinates of the given points. John
 Geometry_Word_Problems/328554: A circle is inscribed in a square. its diameter is congruent to?1 solutions Answer 235378 by solver91311(16872)   on 2010-08-03 18:51:39 (Show Source): You can put this solution on YOUR website! One side of the square. John
 Rectangles/328504: a square is inscribed in a circle. if the diagonal of the square measures 6 in. what is the exact area of the circle?1 solutions Answer 235377 by solver91311(16872)   on 2010-08-03 18:50:08 (Show Source): You can put this solution on YOUR website! If a square is inscribed in a circle, then the diagonal of the square is a diameter of the circle. Half of the diameter is the radius. Square the radius and multiply times . Leave it in terms of for the exact answer. John
 Angles/328567: an angle measure x degrees. what is the measure of its compliment? what is the measure of its supplement?1 solutions Answer 235367 by solver91311(16872)   on 2010-08-03 18:22:04 (Show Source): You can put this solution on YOUR website! What is a "compliment" of an angle? "You are a pretty angle" or perhaps "You are a cute angle" (Pun intended). Whatever it is, I don't know how you would take the measure of a polite expression of praise or admiration given to an angle, no matter how deserving the angle might be. On the other hand, the "complement" of an angle is an angle such that the sum of the measures of the angle and its complement is The supplement of an angle is an angle such that the sum of the measures of the angle and its supplement is So, if , then you can always say that John