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Algebra
Let us consider a quadratic polynomial f(x) such that equation f(x)=7x-14 has exactly one root, and equation f(x)=6-3x has exactly one root. Find the minimum value of a discriminant of f(x).
Algebra
Prove that the sum of the first n even numbers is an even number. Is the kind of logic used in proving this is inductive, deductive or both? Justify your answer.
Algebra
Suppose b > d +1/3 ,c+1<a – 4, and d + 5/8> a + 2. Order a, b, c, and d from greatest to least. Explain your reasoning.
Algebra
Find the sum of squares of all numbers x such that both expressions (x^2) + 6x and x + (1/x) are
integer numbers.
integer numbers.
Algebra
Let us consider a quadratic polynomial f(x) such that equation f(x) = 5x - 15 has exactly one root, and equation f(x) = 6x - 18 has exactly one root. Find the maximum value of a discriminant of f(x).
Algebra
A music video website received 5,000 comments on a new song they released. The next day, the artist performed the song on television and an additional 1,500 comments were made on the website. What was the percent of increase?
Algebra
Polynomial and rational functions can be used to model a wide variety of phenomena of science, technology, and everyday life.
Choose one of these sectors and give an example of a polynomial or rational function modeling a situation in that sector. [Hint: see the examples and exercises in the book.]
Go to www.desmos.com/calculator, write your equation, or function, and develop your explanation using the properties of graphs.
Choose one of these sectors and give an example of a polynomial or rational function modeling a situation in that sector. [Hint: see the examples and exercises in the book.]
Go to www.desmos.com/calculator, write your equation, or function, and develop your explanation using the properties of graphs.
Algebra
Polynomial and rational functions can be used to model a wide variety of phenomena of science, technology, and everyday life.
Choose one of these sectors and give an example of a polynomial or rational function modeling a situation in that sector. [Hint: see the examples and exercises in the book.]
Go to www.desmos.com/calculator, write your equation, or function, and develop your explanation using the properties of graphs.
Choose one of these sectors and give an example of a polynomial or rational function modeling a situation in that sector. [Hint: see the examples and exercises in the book.]
Go to www.desmos.com/calculator, write your equation, or function, and develop your explanation using the properties of graphs.
Algebra
Represent this rational equation through table and graph. Identify whether the graph
forms a straight line or a curve,
P(x) = x2 +1 x + 1
forms a straight line or a curve,
P(x) = x2 +1 x + 1
Algebra
Which of the following statements are true, and
which are false ? Justify your answers.
(a) Any polynomial of degree n >= 1 over C can be
expressed as a product of polynomials of
degree 1 over C.
(b) The argument of any purely imaginary
number is 0 or π
(d) Given any n numbers, their AM is larger
than or equal to their GM.
(e) Any system of two or more linear equations
has a solution.
which are false ? Justify your answers.
(a) Any polynomial of degree n >= 1 over C can be
expressed as a product of polynomials of
degree 1 over C.
(b) The argument of any purely imaginary
number is 0 or π
(d) Given any n numbers, their AM is larger
than or equal to their GM.
(e) Any system of two or more linear equations
has a solution.
