Answer:
Step-by-step explanation:
Theorm-The 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.
Let's verify that the Fundamental Theorem of Algebra holds for quadratic polynomials.
A quadratic polynomial is a second degree polynomial. According to the Fundamental Theorem of Algebra, the quadratic set = 0 has exactly two roots.
As we have seen, factoring a quadratic equation will result in one of three possible situations.
graph 1
The quadratic may have 2 distinct real roots. This graph crosses the
x-axis in two locations. These graphs may open upward or downward.
graph 2
It may appear that the quadratic has only one real root. But, it actually has one repeated root. This graph is tangent to the x-axis in one location (touching once).
graph 3
The quadratic may have two non-real complex roots called a conjugate pair. This graph will not cross or touch the x-axis, but it will have two roots.
Answer:
see the explanation
Step-by-step explanation:
<em><u>The question is </u></em>
Identify the domain and the range, using words and inequalities
Let
x -----> the number of kilowatt-hours (kWh) of electricity per month
y ----> the price per month
we know that
Part 1) For the value of x between 0 kWh and 400 kWh
The price is equal to
therefore
The domain is the interval ------> [0,400)
The domain is all real numbers greater than or equal to 0 kWh and less than 400 kWh
The range is ($30)
The range is equal to $30
Part 2) For the value of x equal to 400 kWh or more per month
The domain is the interval -----> [400, infinite)
The domain is all real numbers greater than or equal to 400 kWh
The price is
<em>Find the range</em>
For x=400 kWh
so
The range is the interval -----> [38.8, infinite)
Answer:
6/19
Step-by-step explanation:
Sine 19 divided by 2 is 9.5 and 19 divided by 4 is 4.75, you can choose any number from 4.75 to 9.5.
The answer is B because you have to do the opposite which means you have to subtract -9-2=-11
Answer:
68
Step-by-step explanation:
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