For the following real-world examples, determine whether each situation represents a percent increase or a percent decrease. ( i
1 answer:
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Given:
The function is
To find:
The domain, range, and intercepts of the function.
Solution:
We have,
It is a linear function, and domain and range of these types of functions are all real numbers.
Put x=0 in f(x), to find the y-intercept.
So, the y-intercept is 11.
Put f(x)=0 in f(x), to find the x-intercept.
Divide both sides by 7.
So, the x-intercept is .
Therefore,
.
Answer:
The product of two rational numbers is a rational number
Step-by-step explanation:
I'll quickly recap the proof: a rational number is, by definition, the ratio between two integers. So, there exists four integers m,n,p,q such that
If we multiply the fractions, we have
Now, mp and nq are multiplication of integers, and thus they are integers themselves. So, ab is also a ratio between integer, and thus rational.
