A green bottle holds 8 3/5ounces of water. A blue bottle holds 8 6/7 ounces of water. Write an inequality that compares the fractions and explain which bottle holds more.

8 3/5<8 6/7

Step-by-step explanation:

First, to solve this, find the least common multiple for both 7 and 5. After finding out, we find that it is 35. Multiply the fraction of 3/5 by 7/7, and the fraction of 6/7 by 5/5. You will end up with 21/35, and 30/35. Since 30/35 is larger than 21/35, we know that the bottle that is 8 6/7 ounces is going to be larger.

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0