Answer:
The correct option is C.
Step-by-step explanation:
The given cubic equation is
According to the rational root theorem 1 and -1 are possible rational roots of all polynomial.
At x=-1, the value of function 0. Therefore (x+1) is the factor of polynomial and -1 is a real root.
Use synthetic division to find the remaining polynomial.
Using 
USe zero product property and equate each factor equal to 0.
Therefore the equation have three real roots out of which the value of two roots are same.
Option C is correct.
Answer:
A): f(x) = (x – 1)² + 2
Step-by-step explanation:
The quadratic function, f(x) = (x – 1)² + 2 is in <u>vertex form</u>: y = a(x - h)² + k, where:
- The vertex of the graph is (h,k).
- The value of <em>a</em> determines whether the graph opens up or down. If <em>a</em><em> </em>is <u>positive</u>, the graph opens up and the vertex is its minimum point. If <em>a </em>is <u>negative</u>, then the graph opens down, and the vertex is its maximum point.
- The value of <em>h</em> determines how far left or right the parent function is translated.
- The value of<em> k</em> determines how far up or down the parent function is translated.
The function, f(x) = (x – 1)² + 2, provides the pertinent information that allows us to determine the parabola's <u>minimum value</u>, as the value of <em>a</em> is a <u>positive</u>, which implies that the parabola is <em>upward facing</em>, and the vertex, (1, 2) is the minimum point.
Please mark my answers as the Brainliest if you find this helpful :)
Obtuse angles are over 90 degrees but less than 180 degrees. So minimum y can be is 10: (5 x 10) + 45 = 95 degrees (which is more than 90). Maximum for y is 26: (5 x 26) + 45 = 175 (which is less than 180 degrees)
Answer:
the nth term of the sequence is 
Step-by-step explanation:
Given : An arithmetic sequence begins as follows: 
To find : Which of the following gives the definition of its nth term?
Solution :
The nth term of the A.P is 
The first term is 
The common difference is 
Substitute in the formula,
Therefore, the nth term of the sequence is
That is technically impossible but I can put this into a mixed fraction which is -5 1/4
