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What are the factors and prime factors of 16 xy?
1, 2, 4, 8, 16, x, y 2 is prime.
The sum of two number is sixthe sum of the squares of the two number is twenty?
x+y=6x^2 + y^2=20 x=2 and y=4 or vice versa
What is the factor of 18xy?
2 times 3 times 3 times x times y = 18xy
Number with the most factors?
This question doesn't have an actual answer. Here's why: We have a value X (doesn't matter what it equals). pick any integer greater than one (i'll choose 3) Y = 3*X now Y has all the factors of X , and then one more. Example: X=15 (15 = 3*5, so 2 factors) Y = 3*X (45 = 3*3*5, 3 factors (2 unique)) If you want a number with the most 'unique' factors, that doesn't work either. Just make sure the number you pick (my 3 in this case) is not factor of X to begin with. Example: I'll chose 2 this time because 2 is not a factor of 15. X=15 (15=3*5, 2 factors) Y=2*X (30= 2*3*5, 3 factors (all unique))
How do you factor 6x-6y?
6x-6y=6(x-y) The factors of 6(x-y) are 6 and (x-y).
What two numbers added together make7 but multiplied make 20?
Let call them x and y x+y=7 and x*y=20 From the first you get x = 7 -y, put into the second get (7-y)*y=20 -y^2+7*y=20 or y^2-7+20=0 Delta = (-7)^2-4*1*20 = -31 y = (7-i*sqrt(31))/ 2 or y = (7+i*sqrt(31))/ 2 and x = 7-y = (7+i*sqrt(31))/ 2 or x = (7-i*sqrt(31))/ 2
The sum of two numbers is 20 One number is two less than twice the ammount of the first number what are the two numbers?
x+y=20 x=2y-2 2y-2+y=20 y-2=20 y=18 x=2
The difference between two numbers is 20 and their sum is 48 Find the numbers?
x=number 1, y=number 2 {x-y=20} {x+y=48} x=y+20 y+20+y=48 2y=28 [y=14] x=14+20 [x=34]
The sum of two numbers is 16 and the difference is 20?
Let the two numbers be x and y since their sum is 16 x+y=16 since their difference is 20 x-y=20 so since x+y=16 x=16-y and now plug this in below 16-y-y=20 and 16-2y=20 -2y=4 y=-2 and x-2=16 so x=18 the numbers are 18 and -2
What are the x-intercepts of y equals 2x2 - 3x - 20?
y = 2x2 - 3x - 20 ∴ y = 2x2 - 8x + 5x - 20 ∴ y = 2x(x - 4) + 5(x - 4) ∴ y = (2x + 5)(x - 4) The x intercepts occur when y = 0, which happens when either of the two factors on the left side of the equation equal zero. This means that they are at the points (-5/2, 0) and (4, 0).
What are the factors of a polynomial function with zeros at -2 and 7?
Since there are two zeros, we have: y = (x - (-2))(x - 7) y = (x + 2)(x - 7)
What is x when y is 30 if x is 20 when y is 40?
x and y are in a ratio of 1:2 so when y is 30 x is 15
What is the definition of difference of squares?
It is one number or variable squared subtracted from another Such as x^2-y^2 since this factors as (x-y)(x+y)
What are the points of contact between the line 2y -x equals 0 and the curve x squared plus y squared equals 20?
If: 2y-x = 0 Then: 4y^2 = x^2 If: x^2 +y^2 = 20 Then: 4y^2 +y^2 = 20 So: 5y^2 = 20 Dividing both sides by 5: y^2 = 4 Square root of both sides: y = - 2 or + 2 By substituting points of contact are at: (4, 2) and (-4, -2)
What is the number with the most factors?
There isn't any, and it is quite simple to prove that. Suppose there is a number with the most factors and suppose that number is X. Now consider Y = 2*X. Y has all the factors of X and it has another factor, which is 2. So Y has more factors than X. This contradicts the statement that X has the most factors. Therefore, there is no number with the most factors.
Solution set of y equals x2 - x - 6?
-4
Will the matrix equations -18x plus y equals 8 and -3x-y equals -2 intersect?
-18 X + Y = 8 ........ 1 -3 X - Y = -2 ........ 2 Summing eq 1 and 2 - 21 X = 6 or X = - 6/21 or -2/7 Multiply eq 2 by 6 and subtract 2 from 1 7 Y = 20 or Y = 20/7 Accordingly, the two equations intersect at point: X = -2/7 and Y = 20/7
