Prove the following using a proof by contrapositive:. For every pair of real numbers x and y, if x is rational and xy is irrational, then y is irrational.
Let q = a/b and r = c/b be two rational numbers written in lowest terms. Let s = q+r and s = e. f written in lowest terms. Assume that s is not 0.
Prove or disprove the following two statements.
a. If b and d are odd, then f is odd.
b. If b and d are even, then f is even.

8/k

step-by-step explanation:

step-by-step explanation:

use context clues to figure out the meaning of the bolded word:  

the sage gardener knew when she had to water her plants.  

question 8 options:

mint plant

wise

happy

lazy

step-by-step explanation:

the solution is x=1

step-by-step explanation:

we are given our   equation as

let's assume

left side function is

right side function is

now, we can draw graph

and then we can get intersection point

the intersection point will be solution

so, the solution is

x=1