Which expression is equivalent to $${3x^3 - 14x^2 - 27x + 8}$$ ÷ $$(x^2 - 6x - 1)$$ ?

3x + 4 + $$\frac{12}{x^2 - 6x - 1}$$

3x + 4 + $$\frac{4}{x^2 - 6x - 1}$$

3x + 4 - $$\frac{4}{x^2 - 6x - 1}$$

3x + 4 - $$\frac{12}{x^2 - 6x - 1}$$

Which is the inverse function of h(x) = $$10^{(x+2)} - 4$$ ?

$$h^{-1}\left(x\right)=\log\left(x+4\right)-2\left\{x>-4\right\}$$

$$h^{-1}\left(x\right)=\log\left(x-2\right)+4\ \left\{x>2\right\}$$

$$h^{-1}(x)=10^{\left(x-2\right)}+4\left\{x>2\right\}$$

$$h^{-1}(x)=10^{(x+4)}-2\left\{x>-4\right\}$$

Which scenario could be modeled by the graph of the function $$g(x) = 500(1.068)^x$$ ?

A deer population has an initial population of 500 increases by 6.8% each year.

A deer population has an initial population of 500 decreases by 6.8% each year.

A deer population has an initial population of 680 increases at 5% each year.

A deer population has an initial population of 500 increases at a constant rate of 0.068% each year.

A definition for a function, g, is shown: g(x) = $$\frac{3}{x+4}-\frac{2x-12}{x^2-2x-24}$$ . Which choice describes x = 6 for this function?

b. the location of a removable discontinuity of g(x)

a. a vertical asymptote for g(x)

d. the location of the y-intercept of g(x)

Georgia is comparing the function f(x) and g(x). The function f(x) is shown below: [Graph] The function g(x) is represented as g(x) = -2|x+3| + 5. Which statement is TRUE?

The maximum value of g(x) is larger than value of f(-2).

f(x) and g(x) are both defined at x = 1.

The y-intercept of g(x) is equal to the y-intercept of f(x).

The value of f(3) is less than the value of g(2).

A circle is represented by the equation x² + y² - 4x + 10y = -12. Which statement is TRUE about the circle?

The point (-2, -4) lies on the circle when graphed on a coordinate plane.

The radius of the circle is 17 units.

The center of the circle is at the point (-2, 5).

The diameter of the circle is about 8.5 units.

Math 3 - Review for Final Exam: Packet #1 (Common EOC Problems)

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Math 3 - Review for Final Exam: Packet #1 (Common EOC Problems)

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Mathematics

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Easy

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CCSS

HSA.APR.D.6, HSG.GPE.A.1, HSA.APR.C.4

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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CCSS.HSA.APR.D.6

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

-7

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CCSS.HSA.APR.D.6

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The dimensions of a rectangular box are such that the width is 6 cm more than three times the length. The height is half of the length. The volume of the box is 960 cm^3. What is the length of the box?

a. 8 cm

b. 4 cm

c. 16 cm

d. 10 cm

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

x + 3

x - 6

x - 9

x + 36

MULTIPLE CHOICE QUESTION

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4d(d + 5)(d - 5)

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CCSS.HSA.APR.C.4

MULTIPLE CHOICE QUESTION

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CCSS.HSF-BF.A.1B

MULTIPLE CHOICE QUESTION

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CCSS.HSF-BF.B.4D

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Math 3 - Review for Final Exam: Packet #1 (Common EOC Problems)

52 questions

The dimensions of a rectangular box are such that the width is 6 cm more than three times the length. The height is half of the length. The volume of the box is 960 cm^3. What is the length of the box?

g(x) is shown in blue. Using the graph above, which function is the graph of g⁻¹(x)?

Which is equivalent to the equation logₘp = f?

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