What is the first step on factoring a polynomial
1 answer:
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Answer:
Step-by-step explanation:
The function is a positive upwards opening parabola with the vertex at (0, 4), whereas
the function is a positive rightwards opening parabola (sideways parabola) with the vertex at (4, 0). This means that answer to this is that g(y) is reflected over the x axis whereas f(x) is reflected over the y axis.
If a function is defined as
where both are continuous functions, then
is also continuous where defined, i.e. where
So, in your case, this function is continous everywhere, except where
To solve this equation, we can use the formula
It means that, if the leading terms is 1, then the x coefficient is the opposite of the sum of the roots, and the constant term is the product of the roots.
So, we're looking for two terms whose sum is 7, and whose product is 12. These numbers are easily found to be 3 and 4.
So, this function is continuous for every real number different than 3 or 4.
For this case we propose a system of equations:
x: Let the variable representing the number of children in the concert
y: Let the variable representing the number of adults at the concert
According to the assistance we have:
According to the cost we have:
Substituting the first in the second equation we have:
Thus, the concert was 375 adults.
On the other hand we have:
Thus, the concert was 1125 children.
In total they were:
people
ANswer:
The concert was 1500 people