If m = 1/2, n= 1/4 , then m²+ n²

Answer:

"Descartes' rule of sign is used to determine the number of real zeros of a polynomial function. It tells us that the number of positive real zeroes in a polynomial function f(x) is the same or less than by an even numbers as the number of changes in the sign of the coefficients."

Explanation:

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Final answer:

The Rational Root Theorem provides possible rational roots of a polynomial while Descartes' Rule of Signs indicates the number of positive and negative roots of a polynomial. They both serve as crucial tools in understanding and solving polynomial equations.

Explanation:

The Rational Root Theorem and Descartes' Rule of Signs are both mathematical tools that can provide valuable information about the zeros (or roots) of a polynomial. The Rational Root Theorem can help us determine the possible rational roots of a polynomial equation. It states that if a polynomial has a rational root p/q (where p and q are relatively prime), then p is a factor of the trailing constant and q is a factor of the leading coefficient.

On the other hand, Descartes' Rule of Signs gives us an indication of the number of positive and negative real roots in a polynomial. It does this by considering the number of sign changes in the coefficients of the terms of the polynomial when arranged in descending power.

For example, in the polynomial + 2x - 6, by applying Descartes' Rule of Signs, we can infer there are two or zero positive roots (since there are two sign changes) and one negative root (since there are no sign changes when the terms are arranged in ascending power).

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The statement ∀x∃y(x² = y) is true for all real numbers, as for each real number x, there exists a real number y such that x² = y.

How to determine the truth value of a statement?

The statement ∀x∃y(x² = y) is true as explained below:

For every real number x, there exists a real number y such that x² = y.

For example:

If x = 2, then y = 4 because 2² = 4.

If x = -3, then y = 9 because (-3)² = 9.

Since you can always find a real number y that satisfies the equation x² = y for any real number x, the statement is true for all real numbers in its domain.

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The statement is true. If x and y are both real numbers, the statement is:

"for every x, there exist y such that "

This is true, because you can pick any real number, square it, and obtain another real number, y. The relation is not surjective, i.e. we will not use all possible values for y, but it doesn't matter. The statement is only asking to find a value for x^2, which we can always do.

Answer:

D, or the last answer

Step-by-step explanation:

First, plugin the value of y into the equation, resulting in 12 - 2(-2) = 8.

Second, Simplify as much as you can on the left hand side of the equation, resulting in 12 - (-4), and because of the double negative rule, those two negatives become a plus. 16

Lastly, see if the two sides are equal or not equal. 16 is NOT equal to 8. That means D is your answer.

Answer:

B. y=1/4x+13/4

Step-by-step explanation:

Answer:

1 . EF is a secant of OX

2. DF is a chord of OX.

3. AABC is made of tangents to OX

4. ∠DEF is an inscribed angle of OX.

Step-by-step explanation:

Secant is line which intersects a circle from two distant points. Locus is a set of points which is same distance from the center of a circle. Chord is a straight line whose end points lie on circular arc of a circle. Tangent is a line which touches the circle at one point only.

Answer:

so for what I'm thinking is 2*5 for the amount of hours in a school week and then you get 10 then times that by 15 for the amount of weeks in a semester which is 150 then times that by 3 and you get 450 thats the simple way so if you are also studying over the weekend it would be 630 of a entire year

Step-by-step explanation in the answer