Answer:
A general way of explaining this is
Suppose that we have a given property (or a pattern if we are working with a series of numbers):
Now, if that property is true, for example, for the numbers 1, 2, 3... etc. Then we can suppose that the property is also true for an unknown number N.
Now, if using the hypothesis that the property is true for N, we can prove that the property is also true for N + 1, then we actually proved that the property is true for all the set.
We actually can use any set, not only the natural numbers.
For example, we can use the set of the even numbers {2, 4, 6, 8....}, suppose that the property is true for a random number N, that is even, and then see if using that hypothesis we can prove that the property is also true for the next number in the set; N + 2.
The domain of a function is the set of all acceptable input values (X-values). The range of a function is the set of all output values (Y-values).
Answer:
no mas
Step-by-step explanation:
Let the two numbers be x and y
then x+y=9
x-y=3
2x=12
x=6
6+y=9
y=3
so the numbers are 9 and 3
Answer: x-intercept = (3,0); y-intercept = (0,7)
Step-by-step explanation:
-3y = 7x - 21
y = -7/3 x + 7 (divide both sides by -3)
y-intercept = (0,7) (y = mx + b; b is always y-intercept)
0= -7/3 x + 7 (plug in 0 for y to get x-intercept)
-7/3x = -7 (subtract 7 from both sides)
x = 3 (divide both sides by -7/3)
x-intercept = (3,0)
