Here are graphs of two functions f and g the function h is defined by h(x)=f(x)-g(x)
1 answer:
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Answer:
There were 180 voters for blue color.
Step-by-step explanation:
Let the total number of voters be 'x'.
Given:
Number of Voters for blue color =
Number of Voters for green color =
Now we will use LCM to make the denominator common we get;
Number of Voters for green color =
Number of Voters for red color = 48
We need to find the number of voters for blue color.
Solution:
Now we can say that;
total number of voters is equal to sum of Number of Voters for blue color, Number of Voters for green color and Number of Voters for red color.
framing in equation form we get;
Combining like terms we get;
Now we will make denominators common using LCM we get;
Now denominators are common so we will solve the numerators we get;
Now multiplying both side by 6 we get;
Number of voters for blue color =
Hence There were 180 voters for blue color.
Answer:
The correct statements are:
A) This polynomial has a degree of 2, so the equation has exactly two roots.
B: The quadratic equation has one real solution, x=−2, and therefore has one real root with a multiplicity of 2.
Step-by-step explanation:
Here, the given polynomial is
FUNDAMENTAL THEOREM OF ALGEBRA:
If P(x) is a polynomial of degree n ≥ 1, then P(x) = 0 has exactly n roots, including multiple and complex roots.
Now, here the given polynomial is a quadratic polynomial with degree 2.
So, by the fundamental theorem, f(x) has EXACTLY 2 roots including multiple and complex roots.
Now, solving the equation , we get that the only possible roots of the polynomial p(x) is x = -2 and x = -2
So, f(x) has only one distinct root x = -2 with a multiplicity 2.
Hence, the correct statements are:
A) This polynomial has a degree of 2, so the equation has exactly two roots.
B: The quadratic equation has one real solution, x=−2, and therefore has one real root with a multiplicity of 2.