1/3 because 4 to 12 can be written as 4/12 which can be simplified to 1/3
And 1/3 of 6 is two and if you reverse the process you would 4 into 12 three times and then find what goes into 6 three times with is 2
Answer:
y=x^4 is a function
Explanation:
A function is defined as given an equation, there should be only one corresponding, y value for any x value. In the table from the picture you attached, it is shown as for each x value, there is one corresponding y value. Therefore, x^4 is a function.
C. 6 2/12 because you put the common denominator (12) by multiplying 1/4 x 3/3 then add it to get 5 14/12 or 6 2/12
D.5 2/15
Answer:
x = 12 or x = -3
Step-by-step explanation:
Solve for x over the real numbers:
x^2 - 9 x = 36
Subtract 36 from both sides:
x^2 - 9 x - 36 = 0
x = (9 ± sqrt((-9)^2 - 4 (-36)))/2 = (9 ± sqrt(81 + 144))/2 = (9 ± sqrt(225))/2:
x = (9 + sqrt(225))/2 or x = (9 - sqrt(225))/2
sqrt(225) = sqrt(9×25) = sqrt(3^2×5^2) = 3×5 = 15:
x = (9 + 15)/2 or x = (9 - 15)/2
(9 + 15)/2 = 24/2 = 12:
x = 12 or x = (9 - 15)/2
(9 - 15)/2 = -6/2 = -3:
Answer: x = 12 or x = -3
For any equation with more than one variable, there is either no solution or infinitely many solutions.
If we can find just <em>one</em> solution that works, that would eliminate the possibility of there being no solution, and so we could prove it to have infinitely many solutions.
Can we come up with at least one solution to these equations? Of course!
For x=y
Thinking of two equal numbers is extremely easy. For instance, if we chose x to be 2 and y to be 2, that's a solution right there! Thus x=y has infinitely many solutions.
It's just as easy picking two numbers that are equal when you multiply them by 1.25. Think back to the multiplication property of equality. If two things are equal, and you multiply them by a number, they will still be equal. So all we need is, once again, two equal numbers. 2 and 2, boom and boom. 1.25x=1.25y has infinitely many solutions as well.
