The choices are:
<span>A. The graph will rise to the right and to the left </span>
<span>B. The graph will rise to the right and fall to the left </span>
<span>C. The graph will fall to the left </span>
<span>D. The graph will fall to the left and to the right
If the degree of the polynomial is 4, then it is expected that there are three inflection points where the graph can go left or right. These points can be considered as maxima or minima. In this problem, the most sensible answer would have to be A.</span>
If the sequence is quadratic, then the <em>n</em>-th term (<em>n</em> ≥ 1) is
We're given the first four terms,
Using the formula for the <em>n</em>-th term, this turns into a system of equations,
Solve the system:
• Eliminate <em>c</em> :
(4<em>a</em> + 2<em>b</em> + <em>c</em>) - (<em>a</em> + <em>b</em> + <em>c</em>) = 1 - (-4) ===> 3<em>a</em> + <em>b</em> = 5
(9<em>a</em> + 3<em>b</em> + <em>c</em>) - (<em>a</em> + <em>b</em> + <em>c</em>) = 12 - (-4) ===> 8<em>a</em> + 2<em>b</em> = 16
• Multiply the second equation by 1/2 to get 4<em>a</em> + <em>b</em> = 8, then eliminate <em>b</em> and solve for <em>a</em> :
(4<em>a</em> + <em>b</em>) - (3<em>a</em> + <em>b</em>) = 8 - 5 ===> <em>a</em> = 3
• Solve for <em>b</em> and <em>c</em> :
3<em>a</em> + <em>b</em> = 9 + <em>b</em> = 5 ===> <em>b</em> = -4
<em>a</em> + <em>b</em> + <em>c</em> = 3 - 4 + <em>c</em> = -4 ===> <em>c</em> = -3
Then the rule for the <em>n</em>-th term is
Answer:
The statement is False.
Step-by-step explanation:
Consider the provided information.
If a linear system has four equations and seven variables, then it must have infinitely many solutions.
We need to determine the above statement is true or false.
The above statement is false, it could be inconsistent, and therefore have no solutions,
For example:
Hence, there is no solution.
I believe it is 1/5
It would be the answer because getting a 1 out of the 5 possible outcomes would be 1/5