The product of two rational numbers is always rational because (ac/bd) is the ratio of two integers, making it a rational number.
We need to prove that the product of two rational numbers is always rational. A rational number is a number that can be stated as the quotient or fraction of two integers : a numerator and a non-zero denominator.
Let us consider two rational numbers, a/b and c/d. The variables "a", "b", "c", and "d" all represent integers. The denominators "b" and "d" are non-zero. Let the product of these two rational numbers be represented by "P".
P = (a/b)×(c/d)
P = (a×c)/(b×d)
The numerator is again an integer. The denominator is also a non-zero integer. Hence, the product is a rational number.
learn more about of rational numbers here
brainly.com/question/29407966
#SPJ4
2. 83 R 2
3. 82 R 1111 etc
Answer:
2
Step-by-step explanation:
slope (m) = y2 - y1/x2 - x1
m = 9 - 7/3 - 2
m = 2/1
m = 2
6.
the y-intercept is 4, which means the line crosses the y-axis at the point (0,4).
[just put a dot on the number four that's right under the letter y]
the slope of the line is positive, so it goes up from left to right.
Start at the y-intercept. Move up 2 and then move right 1.
You are now at the point (1,6).
[go to 1 for the horizontal line, then go up 6 spaces.] [connect two points]
7. y= -1/2-3
8. y=3x+4
Answer:
x =1, x = 0 is extraneous.
Step-by-step explanation:
5/x = 4x + 1 / x^2
5x^2 = 4x^2 + x
5x^2 - 4x^2 - x = 0
x^2 - x = 0
x(x - 1) = 0
x = 0, 1.
x is not a solution because 5/x is undefined.
