How do you solve 3x squared plus 2x equals 16?
3x2 + 2x = 16
∴ 3x2 + 2x - 16 = 0
∴ 3x2 - 6x + 8x - 16 = 0
∴ 3x(x - 2) + 8(x - 2) = 0
∴ (3x + 8)(x - 2) = 0
∴ x ∈ {-8/3, 2}
Does x-y equals y-x for all x plus y values?
No. In fact, under normal rules of operation, x-y equals y-x only when x = y.
What is the center of the circle given by the equation (x- 2)2 + (y + 4)2 = 6?
(2, -4)
How many roots does the graph y 5x 2 - 4x 1have?
Either +/- 1, and the discriminant will tell. b2 - 4ac
Y = 5X2 - 4 + 1
(- 4)2 - 4(5)(1)
= 16 - 20
= - 4
==========It that 1 is positive then no real roots.
Y = 5x2 - 4 - 1
(- 4)2 - 4(5)(- 1)
16 + 20
= 36
==========if 1 is negative then two real roots.
3
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There is no symbol between -6 and 3y.
If they're ounces of weight, then 64 of them = 4 pounds.
If they're fluid ounces, then 64 of them = 8 cups = 4 pints = 2 quarts = 1/2 gallon.
How does a pendulum bob filled with sand and a hole at bottom affect the time period?
At the extremities of the pendulum's swing, the sand leaving the bob could exert a force on the bob. Provided that this force is negligible and also, provided the mass of the bob (with or without the sand) is large compared with the rest of the pendulum, the time period should not be affected.
It is the formula for a straight line with a slope of 3.6.
How do you find the solution to x2 - 20xy plus 4y2?
If you're looking to factor this expression, then you need to find two values that add up -20, and which multiply to make 4. Unfortunately, no such terms exist, so this expression can not be factored.
What are the solutions to the equation 2x 3 4 equals 17?
You did not state the operation: add or subtract.
Is it 2x + 3 + 4 = 17?
Is it 2x - 3 + 4 = 17?
What is 5x plus 3 equals 2x plus 11 and how do you do it?
With equations like these, the most important thing you want to do is get x by itself.
5x + 3 = 2x + 11 First, you can subtract 3 from both sides of the equation. Since you subtract 3 from the 5x+3 side, that only leaves you with 5x because 3 - 3 = 0. While on the 2x+11 side, -3 means you combine it with 11 (because you need to combine like terms).
5x = 2x + 8 Then you need to do the same thing with the x with coefficients by subtracting 2x from both sides.
3x = 18 Lastly, (remember you want x by itself) divide by 3 on both sides.
x = 8/3
If you want the parameters a, b and c then you must know the values of x and y. Even in this case you will not be able to calculate unique values for a,b and c but rather get a set of answers which describes the relationship necessary between a,b and c that will satisfy your values for x and y.
Here is how to do that:
Start with the usual parabolic equation: y = ax^2 + bx + c
There is a standard formula to solve this equation for x when you want y to be zero (also called the 'roots' of the equation). That formula is x = (-b +/- sqrt ( 4ac - b^2 ) ) / 2a).
The sqrt means take the square root of what in parentheses. and +/- means the formula must be calculated twice, once using a plus in place of +/- and once using a minus.
Instead of y being zero we want to be able to make it any value we like but our formula only works for y being zero. So we need to subtract the y value from the original parabolic equation to make one side zero, that give us 0 = ax^2+bx + (c-y).
Now we can use the standard formula again , but this time with c-y in place of just c.
x = (-b +/- sqrt( 4a(c-y) - b^2 ) / 2a
Using this new formula, if you know x and y you can calculate a relationship between a,b and c that will always give you that value of x and y in a parabolic equation.