If the right side is positive you'd have a circle or an ellipse, negative you'd have a hyperbola...what is the remaining choice?
If the right side is positive you'd have a circle or an ellipse, negative you'd have a hyperbola...what is the remaining choice?
One is the length and one is the width, so multiply them! 3x^3 * 8x^4 = (24x^3)(x^4) = 24x^7
Dividing fractions is the same as multiplying by the reciprocal: a/b divided by c/d is the same as a/b multiplied by d/c. With your problem the x's cancel out each other, and you are left with, (56*45)/(9*8), which simplifies to 7/5.
You have 3 z's on the top and 3 z's on the bottom so they cancel out each other, leaving you with 5/35, which is 1/7.
Looks like you want to factor x^2 + 4x + 3. Using the quadratic formula, or by inspection, you get: (x + 3)(x + 1)
x grows as the square of y so you have a parabola.
Multiply both sides by 2/5 to get u = 16.
First combine terms with x's in them and combine the others to get: 5x + 7 = 2x + 19 Then subtract 2x from both sides and subtract 7 from both sides to get: 3x = 12
Set up a ratio: $118/8 tickets = x / 3 tickets Or, find the cost per ticket by dividing 118 by 8, and multiplying the cost per ticket by the number of tickets you would like to buy.
convert 48 ft sq by multiplying by 12 in/ft and multiplying by 12 in/ft again, because it's square ft and get: 48 sq ft = 6912 sq in divide that by 96 sq in for each block
total pounds of both is 70, so: x + y = 70 price per pound in the end has to be 13.91, so: (11.6x + 14.3y)/(x+y) = 13.91
You set it up like you would long division: 5x6 | 30x7+36x6+35x5 30x7 / 5x6 = 6x 36x6 / 5x6 = 7 with remainder x6 so add that to next term x6 / 5x6 = 1/5 35x5 / 5x6 = 7/x So you'd get: 6x + 7 + 1/5 + 7/x Multiply that by 5x6 and you'll get te...
Set up two equations. x is the number of children and y is the number of adults. 3.5x + 5.2y = 1144 x + y = 254 Solve the second equation for y and plug it into the first equation and solve that for x.
First thing to do is draw a Venn diagram. It will help tremendously. If n(E U F)' = 33, then n(E U F) = 50 - 33 = 17, because n(E U F) + n(E U F)' = n(total). We also know that n(E U F) = n(E) + n(F) - n(E ∩ F). Substitute values to get 17 = 15 + 9 - n(E ∩ F). Solve...
What is the question?
One thing you can do is graph is and your factors will be where the y-value equals zero (where the graph crosses the x-axis). You could also factor it as: x^2(x^2 - 3x + 4) - 8 then to: x^2( x ( x - 3 ) + 4) - 8 set equal to zero: x^2( x ( x - 3 ) + 4) - 8 = 0 move...
Excellent answer Mona. Another way to think about this is that (abc)^2 = aabbcc
vertex (x, y) is (-b/2a, (4ac - b2)/4a) focus (x, y) is (-b/2a, (1 + 4ac - b2)/4a) final equation: y = ax2 +bx + c
slope is rise over run: so your line would start up and to the left, and go down and to the right. for each unit of movement down, move five units to the right.
Are you trying to solve for x? Are these two equations related? Do you have any more information? If you are just solving for x, on the first equation, add three to both sides to get x < -6, and on the second equation subtract 5 from both sides to get x >= 7.