<h3>{ 13, 9, 6} represent the sides of a triangle</h3>
<em><u>Solution:</u></em>
<em><u>Use the triangle inequality law</u></em>
The sum of the lengths of any two sides of a triangle must be greater than the third side
<em><u>Option A</u></em>
{13, 9, 6}
Also,
Thus, sum of length of any two sides is greater than third side
Therefore, { 13, 9, 6} represent the sides of a triangle
<em><u>Option B</u></em>
{12, 7, 20}
19 is not greater than 20
Therefore, {12, 7, 20} does not represent the sides of a triangle
<em><u>Option C</u></em>
{25, 50, 75}
75 is equal to 75
Therefore, {25, 50, 75} does not represent the sides of a triangle
Answer:
Step-by-step explanation:
Given
Required
Determine g(w)
First, we'll write an expression for g(w)
From the question, we understand that she withdrew $40 from her account balance in w weeks.
This implies that:
<em>Where f(w) is the account balance in w weeks and $40 is the withdrawn amount</em>
<em></em>
Substitute 250 + 10w for f(w)
Collect Like Terms
Recall that:
<em>This means that function f(w) when shifter by 40 units downward, gives g(w)</em>