If $$h(x)=2x$$ and $$g(x)=3x^2+1$$ , what is $$h(g(x))$$ ?

$$h(g(x)) = h(3x^2 + 1) = 2(3x^2 + 1) = 6x^2 + 2$$ .

The function $$y=a(1.40)^t$$ models the value of an investment after $$t$$ years. What is the approximate monthly interest rate?

The approximate monthly interest rate is $$2.8\%$$ .

The graph of the function $$p(x)=x^3-x^2-13x-3$$ has a zero at $$-3$$ . What are the other zeros of the function?

The other zeros of the function are $$2\pm\sqrt{5}$$ .

Define a linear function.

A linear function is a function that can be graphically represented as a straight line, typically in the form $$f(x)=mx+b$$ , where $$m$$ is the slope and $$b$$ is the y-intercept.

What is the Pythagorean theorem?

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides: $$a^2 + b^2 = c^2$$ .

What is the definition of a function?

A function is a relation that assigns exactly one output for each input from its domain.

What is the slope-intercept form of a linear equation?

The slope-intercept form of a linear equation is $$y=mx+b$$ , where $$m$$ is the slope and $$b$$ is the y-intercept.

What is the definition of a zero of a function?

A zero of a function is a value of $$x$$ for which the function evaluates to zero, i.e., $$f(x)=0$$ .

What is the formula for the circumference of a circle?

The circumference of a circle is given by $$C=2\pi r$$ , where $$r$$ is the radius.

What is the definition of an exponential function?

An exponential function is a mathematical function of the form $$f(x)=a b^x$$ , where $$a$$ is a constant, $$b$$ is a positive real number, and $$x$$ is the exponent.

What is the relationship between the roots and the coefficients of a polynomial?

For a polynomial of the form $$ax^2 + bx + c$$ , the sum of the roots is $$-\frac{b}{a}$$ and the product of the roots is $$\frac{c}{a}$$ .

EOC Review 12/6 Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

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2.

FLASHCARD QUESTION

Front

Circle B includes arc XY that measures 4 feet. What is the length of Circle B's diameter, rounded to the nearest tenth?

Back

The diameter of Circle B is approximately 15.3 ft.

3.

FLASHCARD QUESTION

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Back

4.

FLASHCARD QUESTION

Front

What is the length of TR if the options are 4, 6, 9, 11?

Back

The length of TR is 4.

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

What is the formula for the area of a circle?

Back

7.

FLASHCARD QUESTION

Front

What is the quadratic formula used to find the roots of a quadratic equation?

Back

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