Answer:
Step-by-step explanation:
Let's start by using distributive multiplication:
So:
Grouping like terms:
Now, is equal to:
In this sense:
In order to satisfied the equality:
Hence, from (1), let's solve for a:
And from (2), let's solve for b:
Let's verify the result evaluating the values of a and b into the original equation:
As you can see, the values satisfy the equation, therefore, we can conclude they are correct.
Answer:
0, 40, and 80 are the values that work for this compound inequality.
Step-by-step explanation:
To create a compound inequality, we have to examine the conditions for to work.
Since can not be below 0° C, that means that
must be greater than or equal to 0.
Which is represented as , or
.
Since can not be above 100° C, that means
must be less than 100.
Which is represented as .
We can combine both inequalities into one, where is shared between the two. This creates
.
Let's test each value of .
0 is <em>equal to</em> 0 and less than 100, so it works.
40 is <em>greater </em>than 0 and less than 100, so it works.
80 is <em>greater </em>than 0 and less than 100, so it works.
120 is <em>greater </em>than 0 and <em>greater</em> than 100, so it doesn't work.
160 is <em>greater </em>than 0 and <em>greater</em> than 100, so it doesn't work.
Hope this helped!