Answer:
9
in²
Step-by-step explanation:
The area (A) of an equilateral triangle is calculated as
A = 
( s is the length of a side )
Here s = 6, thus
A = 
= 
= 9 in²
At the end of the 6 months the balance would be 360.54
For a relation to be called a function, it must pas the vertical line test and each x-value must have a unique y-value
<span>The graph of this sequence would pass the vertical line test.
</span>Each day corresponds to a unique amount of pennies in this sequence.
First translate the English phrase "Four times the sum of a number and 15 is at least 120" into a mathematical inequality.
"Four times..." means we're multiplying something by 4.
"... the sum of a number and 15..." means we're adding an unknown and 15 and then multiplying the result by 4.
"... is at least 120" means when we substitute the unknown for a value, in order for that value to be in the solution set, it can only be less than or equal to 120.
So, the resulting inequality is 4(x + 15) ≤ 120.
Simplify the inequality.
4(x + 15) ≤ 120
4x + 60 ≤ 120 <-- Using the distributive property
4x ≤ 60 <-- Subtract both sides by 60
x ≤ 15 <-- Divide both sides by 4
Now that we have the inequality in a simplified form, we can easily see that in order to be in the solution set, the variable x can be no bigger than 15.
In interval notation it would look something like this:
[15, ∞)
In set builder notation it would look something like this:
{x | x ∈ R, x ≤ 15}
It is read as "the set of all x, such that x is a member of the real numbers and x is less than or equal to 15".
