Permutations and Combinations Questions and Answers

33 5 May 1 33 0 32 5 32 0 31 5 April 27 28 29 30 a On which days were opening prices higher than the closing prices State your answers in sequential order using the month da b On which days were the closing prices higher than the opening prices State your answers in sequential order using the month c Had the chart used white and black candlesticks which days would be white and which days would be black State your answer sequential order using the month day White Black d On which consecutive days was the closing price of the first day higher than the opening price of the second day State your ans sequential order using the month day

11 11 6b A 5b C 7b 2 Radical and Exponential Form 2 024 Kuta Software LLC Write each expression in exponential form 13 A b C 5b Write each expression in radical form 7 12 5b 4 Simplify 3 3 B 6b D b 3 13 64x All rights reserved B 106 D 2b ZOC

How many complex roots does the equation 0 325 24 522 1 have O 3 04 05

Which graph represents the solution for 2 x 12 0 O O c C O D A B 0 8 6 4 2 0 2 4 6 8 8 64 2 0 2 4 6 8 0 8 6 4 2 0 2 4 4 6 68 8 6 4 2 0 2 4 6 8

Use the table below to evaluate 149 2 i 1 O O B A C 3 8 1 1 1 N 1 5 i 6 1 17 1

10 5 kisi 3 kisilik yere Ka farki sekilde oturur

2023 Kuta Software LLC All rights Rational Denominators Simplify 2 12 4 A 2 3 5 5 6 1 3 3 15 2 20 4 3 9 A 15 2 B B a 1 6 3 3 4 3 2 4 reserved 2 A 4 5 2 4 5 3 9 5 2 4 5 A B B 2 D 9 3 2 2 3 15 2 12 5 C 10 D 24 12 3

What is the approximate solution to the equation 2 38 O 0 1906 O 3 6380 O 5 2479

What is the exact solution to the equation 10 97 Enter your answer in the box x log

11 5x 14x 3 0

9 2x x 21

16 Consider the function f x 3x 4x 8 According to the Fundamental Theorem of Algebra how many complex roots does it have What are they

Find the quotient and remainder using synthetic division for The quotient is The remainder is Question Help Video 1 Video 2 x 4x 9x 15 x 2

What is a possible first step to solving the rational expression 3 x 2 3 2x 4 2x 4 Find the common denominators Cross multiply Use the quadratic formula Add the numerator and denominators

x x x 2 4 x2 2

Solve each rational equation algebraically 1 1 1 2 1 12 x 2x x2

Solve each rational equation algebraically 8 x 1 x 3 X 6 E

Find the products and any excluded values x 9 X 8 x2 5x 24 2x2 18x

iven the rational expression shown below select all of the statements that are true about the completely simplified form of this rational expression 3 X 4 3x 2 3x 2x A The denominator is 3x 5x 2 B The denominator is 3x 2x C The numerator is x 7 D The numerator is 2x 4

Simplify the following expressions x 1 x 1 x Se

Simplify the given expressions 5x 5 x 8x 7

9x 1 3x2 5x 2

Simplify the following expressions

18 If a is one of the solutions of the equation x x 20x 0 and a 0 what is the value of a A 0 B 1 C 4 D 5

11 Write the polynomial in factored form and standard form with zeros 4 2 7

5 11x 6x 8 15x4 3x 5x 7x 10

3 f x 8x 9x 7

Determine which of the following graphs is the graph of the given function 3x 6 f x z x 2 A C 18 A B D k 7 A U

Use the rational functions below to answer the following questions f x 3x 12x x2 5x 4 State the point of discontinuity i e hole of the function x Identify the x intercept of the function Find the vertical asymptotes if any of the function

Which function is graphed to the right 1 A f x 3 x 2 B f x 1 2 x 2 3 c f x 2 1 x 3 5 4 3 N 2 5 1 0 F 2 4

Ex 4 1 3 7

Part III Does each ordered pair represent an allowable combination of widgets and zurls produced in one day 4 4 5 B 11 1 C 4 12 D 3 9

8 d B C A X Yukar daki ekilde analitik d zlemde d do ru su zerindeki A 8 0 ve B 0 6 noktalar verliyor C noktas A ve B noktalar n n orta noktas oldu una g re C noktas n n orijine olan uzakl ka birimdir

In 175 6 Tell if each statement about the equations are true or false Explain your answers y log5 x and y 5 a The graphs of the equations are symmetric to each other over line y 0 b b The equation y 5x is the exponential form of y log5 x c The functions are not inverses of each other d The equations are symmetric over the line y x

The function f x In z is transformed into the equation f x In 9 2x Select from the drop down menus to correctly identify the parameter and the effect the parameter has on the parent function The function In 9 Lic Chooco of the parent function by a factor of

Write the algebraic expression for The difference of a number and 8 Ox x 8 O Ox 8 8 X 8 X

7 1 O O O O 6n 4n 2 n 1 2 1 1 1 12 1 2 1 n

Which expression is equivalent to 4 7i 3 4i O 12 28i O 16 37i O 16 37i O 37 16i

Simplify the polynomial given the operation 2x2 x 1 x 3x

A rectangle has a length of x and a width of 5x x 4 What is the polynomial that models the perimeter of the rectangle A 10x x 4 B 5x x 4 C 10x 8

Simplify the polynomial given the operation Write your answer in standard form 12x x 6 9x x5 8x

A student was asked to sketch the graph below Using the graph determine whether each statement is true or false 0 1 Statement 1 is a zero of the function 0 is a zero of the function 1 is a zero of the function 2 is a zero of the function True False

Which of the following is the factored form of the simplest function with real and rational coefficients of the given zeros 8 8 and 13 A x 8 13 x 8 13 B x 8 x 8 x 13 x 13 C x 8 x 13 x 13

Which of the following is the factored form of the simplest function with real and rational coefficients of the given zeros 5 11 and 6i A x 5 x 11 x 11 x 6i x 6i B x 5 x 5 x 11 x 11 x 6i x 6i C x 5 x 11 x 6i

Which of the following is the factored form of the simplest function with real and rational coefficients o the given zeros 0 and 5 A x 5 B x 5 x 5 C x x 5 x 5

etermine which is a factor of the following polynomial h x 6x 7x 9x 2 A x 3 B x 2 C x 6 D x 2

Given p x find p 3 by using synthetic substitution p x x 6x 7x 25

15x 2

Factor the polynomial by grouping x3 3x x 3

2 64x 81