Yes
The rule to check if a triplet of numbers can represent the sides of a triangle is the following: the sum of the length of two sides must exceed the third one.
This happens for all possible couples in your case:



Answer:
(x + 4) ^{2} + 47 = 0
Step-by-step explanation:

<em>W</em><em>h</em><em>e</em><em>n</em><em> </em><em>c</em><em>o</em><em>m</em><em>p</em><em>l</em><em>e</em><em>t</em><em>i</em><em>n</em><em>g</em><em> </em><em>squares</em><em>,</em><em> </em><em>basing</em><em> </em><em>on</em><em> </em><em>our</em><em> </em><em>equation</em><em> </em><em>in</em><em> </em><em>the</em><em> </em><em>question</em><em>:</em>
- <em>First</em><em> </em><em>square</em><em> </em><em>the</em><em> </em><em>half</em><em> </em><em>of</em><em> </em><em>1</em><em>6</em><em> </em><em>e</em><em>.</em><em>g</em><em> </em><em>(</em><em>1</em><em>6</em><em>÷</em><em>2</em><em>)</em><em>^</em><em>2</em><em> </em><em>=</em><em> </em><em>4</em><em>^</em><em>2</em>
- <em>Add</em><em> </em><em>the</em><em> </em><em>result</em><em> </em><em>to</em><em> </em><em>x^2</em><em> </em><em>and</em><em> </em><em>subtract</em><em> </em><em>it</em><em> </em><em>with</em><em> </em><em>6</em><em>3</em><em> </em><em>e</em><em>.</em><em>g</em><em> </em><em>the</em><em> </em><em>second</em><em> </em><em>e</em><em>q</em><em>u</em><em>a</em><em>t</em><em>i</em><em>o</em><em>n</em>
The answers to the various part as well as its reasons are given below
<h3 /><h3>Part A:</h3>
- The x-intercepts shows a zero profit.
- The maximum value of the graph tells or depict the maximum profit.
- The function is one that goes up or increases upward until it reach the vertex and then it falls or decreases after it.
- This implies that the profit goes up as it reaches the peak at the vertex and it goes down after the vertex up until it gets to zero.
- The profits are negative as seen on the left of the first zero and on the right of the second zero.
<h3>Part B:</h3>
An approximate average rate of change of the graph from x = 3 to x = 5, shows the reduction in profit from 3 to 5.
<h3>Part C:</h3>
Based on the above, the domain is one that is held back or constrained by x = 0 .
We are compelled at x = 6 due to the fact that we have to maneuver a negative profit.
Learn more about quadratic function from
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F(x) = 3x⁵ + 6x⁴ - x - 3
The coefficient of a function f(x) is the number that multiplies the x with the highest exponent., that is 3. Answer a)