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How would you find the values of x in the parabolas of y equals 4x2 -12x -3 and y equals x2 plus 11x plus 5 by completing the square?
If: y = 4x^2 -12x -3 and y = x^2 +11x+5
Then: 4x^2 -12x -3 = x^2 +11x+5
Transposing terms: 3x^2 -23x -8 = 0
Dividing all terms by 3: x^2 -23/3x -8/3 = 0
Completing the square: (x-23/6)^2 = 625/36
Square root both sides: x-23/6 = -25/6 or 25/6
Add 23/6 to both sides: x = -1/3 or 8
Therefore the values of x are: -1/3 or 8
What else can I help you with?
Does completing the square mean drawing the fourth side?
No. It refers to quadratic equations of the form (x + n)2 = c where n and c are real values. "Completing the square" solves for values of the x-intercepts (y=0). (see the related link)
Which values are solutions to the inequality x2 equals 16?
x2 = 16take the root square for both sides the result will be :X = +4 or -4
What values of x would make the following equation true x square -4x plus 5 equals 8?
4.6457513110645907 -0.6457513110645907
Xsquare plus 34x equals 56?
It doesn't look as if you can solve this easily with factoring; you might try completing the square, or use the quadratic formula, with a = 1, b = 34, c = 56.Improved answer:Presumably this is a quadratic equation in the form of x2+34x = 56.Rearrange the equation in the form of:x2+34x-56 = 0Then by completing the square or using the quadratic equation formula the values of x will work out as:x = -17- the square root of 345or x = -17+ the square root of 345Your maths tutor should be familiar with the above methods of solving quadratic equations if you're not too sure.
Is the standard deviation of the data values in a sample is 17 what is the variance of the data values?
The variance of a set of data values is the square of the standard deviation. If the standard deviation is 17, the variance can be calculated as (17^2), which equals 289. Therefore, the variance of the data values in the sample is 289.
Does completing the square mean drawing the fourth side?
No. It refers to quadratic equations of the form (x + n)2 = c where n and c are real values. "Completing the square" solves for values of the x-intercepts (y=0). (see the related link)
What is the critical value of chi-square with a significant level of equals 0.05?
Critical values of a chi-square test depend on the degrees of freedom.
What does chi-square equals 0 mean?
It means that the observed values in the experiment all exactly match the expected values. That is unlikely, unless the experiment was "fixed".
136228.2715 square meter plus 20.397 cubic meter equals what?
You cannot add these values together. Square meters is a unit of area, whereas cubic meters is a unit of volume.
What are the points of intersection of the parabolas of y equals 4x squared -12x -3 and y equals x squared plus 11x plus 5 on the Cartesian plane?
The points are (-1/3, 5/3) and (8, 3).Another Answer:-The x coordinates work out as -1/3 and 8Substituting the x values into the equations the points are at (-1/3, 13/9) and (8, 157)
What values of x would make the following equation true x square -4x plus 5 equals 8?
4.6457513110645907 -0.6457513110645907
Which values are solutions to the inequality x2 equals 16?
x2 = 16take the root square for both sides the result will be :X = +4 or -4
Xsquare plus 34x equals 56?
It doesn't look as if you can solve this easily with factoring; you might try completing the square, or use the quadratic formula, with a = 1, b = 34, c = 56.Improved answer:Presumably this is a quadratic equation in the form of x2+34x = 56.Rearrange the equation in the form of:x2+34x-56 = 0Then by completing the square or using the quadratic equation formula the values of x will work out as:x = -17- the square root of 345or x = -17+ the square root of 345Your maths tutor should be familiar with the above methods of solving quadratic equations if you're not too sure.
Is the standard deviation of the data values in a sample is 17 what is the variance of the data values?
The variance of a set of data values is the square of the standard deviation. If the standard deviation is 17, the variance can be calculated as (17^2), which equals 289. Therefore, the variance of the data values in the sample is 289.
Why are parabolas important?
Parabolas are important because they represent a fundamental shape in mathematics and physics, arising from quadratic functions and the geometric properties of conic sections. They model various real-world phenomena, such as projectile motion, satellite dishes, and the design of reflective surfaces, making them essential in engineering and architecture. Additionally, parabolas are used in optimization problems, where they help in finding maximum or minimum values, further demonstrating their significance in various fields.
A square plus b equals 7 and a plus b square equals 11 what are the values of a and b?
A^2 + b = 7 A + B^2 =11 -------------- A=2 and B=34(2^2) + 3 = 7 2 + 9(3^2) = 11
X2 plus 4x-1 equals 0?
Using the quadratic equation formula the values of x are: x = -2 - the square root of 5 and also x = -2 + the square root of 5
