How many solutions over the complex number system does this polynomial have?
7x^3 – 33x^4 – 4x² + 3x + 52 = 0
2

4 solutions counting any possible multiplicity

Step-by-step explanation:

Recall that if one considers the Complex Number System, a polynomial has as many solutions (including multiplicity) as its degree.

So in this case, where we are considering a polynomial of order 4 Notice that the term , is in reality the leading term (term with the highest power of the variable) of this polynomial.

Therefore, in the Complex Number System, this polynomial would have 4 solutions.

walter needs to make at least 5 more cookies but no more than 40. 5 ≤ x ≤ 40

step-by-step explanation:

20 ≤ x + 15 ≤ 55

subtract 15 from all parts

20-15 ≤ x + 15-15 ≤ 55-15

5 ≤ x ≤ 40

this means how many more cookies he has to make

walter needs to make at least 5 more cookies, but no more than 40 cookies; 5 ≤ x ≤ 40