Algebra Questions

Question Details Find an expression for the perimeter of the figure 2 lo y 1 2 y 2 y y 1

10 Explain how the graph of the function f x can be obtained from the graph of y Then graph f and give the a doma and b range Determine the largest open intervals of the domain over which the function is c increasing or d decreasing To obtain the graph of f 1 shrink or stretch 2 vertically or horizontally 3 y axis or x axis 1 31 the graph of y by a factor of and reflect it across the

h x 3x 18x 12

nd an equation for the rational function graphed below Ay 5 4 3 543 ON 2 1 4 NO 2 5 4 5 62 S f x

h x 3x 18x 12

3x 5x 12

5x 6x 2 0

3x 5x 12

1 Let f be the function whose graph is obtained by translating the graph of y to the left 3 units and down 2 units a Write an equation for f x as a quotient of two polynomials b Determine the zero s of f c Identify the asymptotes of the graph of f x a f x Simplify your answer

The comprehensive graphs of four polynomial functions are shown in A D A C 1000 In 8 B 12 175 G Which of the graphs cannot be that of a cubic polynomial function 200 59 The graph s in cannot be the graph of a cubic polynomial function Type A B C or D Use commas to separate answers as needed D O Allia

What is the equation of the vertical asymptote of the graph of y X 3 2 Of the horizontal asymptote What is are the equation s of any vertical asymptote s Select the correct choice below and if necessary fill in the answer box e complete your choice OA The function has two vertical asymptotes The leftmost has the equation Type equations OB The function has one vertical asymptote with an equation Type an equation C The function has no vertical asymptotes and the rightmost has the equation

Use the graphs of the rational functions in A to D on the right to answer the question Give all possible answers as there may be more than one correct choice Which choices have the x axis as a horizontal asymptote Select all the graphs that apply Graph A Graph C Graph B Graph D A B C D 12 12 12 12 12 12 12 12 12 12 12 12 12 Q N Q M

The comprehensive graph of a polynomial function y f x is shown How many real zeros does the function f have The function hasrat roma E 12 Ay 150 150 12 Q

h x h x x 5x 25x 65x 84 8 6 pts Graph the polynomial g x Make sure to clearly indicate end behavior intercepts and behavior at intercepts g x 3x x 4 x 3 x 5

11 Show the solution to the following system FOLLOW DIRECTIONS ON DRAWING y 7 y x 2 y 2x Show Your Work

4 5x 3y 9 65432 1 L

4 3 pt Determine the solution set for the quadratic inequality below x 6x 16 0 5 A stone is thrown upward from a 256 foot bridge The stone s height in feet above the ground t seconds after being thrown is represented by s t 16t 32t 256 a 2 pt When does the stone reach its maximum height b 2 pt At what time does the stone hit the ground

oftware LLC All rights 10 y x 5 y2 x 7 10 8 reser 12ed 6 Made 4 AV Infinite zoom in 10 x Alge bra 2

3 2x 5y 10 654 3 2 1 2

9 y x 2 3 y x 2 y 9 2022 Kuta Software LLC All rights 10 y x 5 6 y2 x 7 0 res er 12 d 46 zoom in 10 x Made with Infinite Alge bra 2

SUM 2 Q2 Solve each system by elimination 5 6y 42 18x 4x 8 3y A 4 1 C 1 4 B 4 1 D 1 4 66 3y 3x 15 9 3x 2y A 7 5 C 7 10 B 7 8 D 1 6

7 y x 2 y 3 y2 2x 3 A B D y 8

Sketch the graph of each linear inequality 1 y x 3 A B D 2 44 2 4 2 y 2 4 4 X X

1 Sketch the graph of each linear inequality 1 y x 3 A B C D 2 22 V y y 2 2 6 x 6 x 4 6 x x 2 2 5x y 5 A B C D 6 4 12 12 y V 4 1 1 X

9 2 6 2 24 11 12 3 3 10 2 6 3 12 3 3

5 10 7 12 7 7 10 11 11 11 6 3 17 4 17 8 2 3 3 27

1 3 6 4 6 3 11 21 11 21 2 3 7 4 7 4 9 15 10 15

Find an expression for the area of the shaded region of the figure 3 X li NIX 2X 16 Scanned with CamScanner

uestion has several parts that must be completed sequentially for the skipped part and you will not be able to come back to orial Exercise Find an expression for the area of the shaded region of the figure 4 X XIN 2 2X 10

Find an expression for the perimeter of the figure 1 4 Z 2 Z 2 2 z 1 N Z Scanned with CamScanner

expression for the area of the shaded region of the figure 5 Is 712 ynomial figures pwed 5 ework 5 6x i Feedback Settings Before due date After due date Scanned with CamScanner 1

Find an expression for the perimeter of the figure 2 li y 1 2 y 2 y y 1 Scanned with CamScanner 1

A bridge is being built across a canyon The length of the bridge is 5025 ft From the deepest point in the canyon the angles of elevation of the ends of the bridge are 76 and 74 How deep is the canyon

On the plane passing through points P 7 4 4 Q 8 3 5 and R 16 13 4 find the point S that is closest to T 35 12 4 O 62 54 5 O 41 53 26 113 85 15 O 64 49 15 O 102 73 6 29 18 8 O 67 56 15 O 25 17 4 O 23 10 1 O 24 19 16

Estimating mean for known and unknown o for normal distributions 8 1 and 2 a Striped whales have an approximate normal distribution of the miles they swim each day If the standard deviation for the population is unknown find the confidence interval if a random sample of 100 striped whales distances swam in one day was 7 620 miles The sum of the squares of these distances was 582 000 Use a confidence level of 90

CA Trea Homework 11 6 Write an expression for each of the following then evaluate for the given variable values 1a Two more than the product of 4 and x 16 Evaluate if x 10 1 c Evaluate if x 2 1d Evaluate if x equals one half

Let p and q represent the following simple statements p I work hard q The taxes are high Write the following compound statement in its symbolic form I work hard and the taxes are high The symbolic form is

Next question Let p and q represent the following simple statements p The taxes are high q It is time to sleep Write the following compound statement in its symbolic form The taxes are high and it is not time to sleep The symbolic form is

Show all work to solve 3x2 5x 2 0

Form the negation of the statement Saturday does not come after Friday Choose the correct answer below OA Saturday comes after Friday OB Friday does come after Saturday OC It is not true that Saturday comes after Friday D Sometimes Saturday does not come after Friday

Determine whether or not the sentence is a statement Help Choose the correct answer below A The sentence is not a statement because it is a command which is not clearly true or false B The sentence is a statement because it represents something that a person would say C The sentence is a statement because it starts with a capital letter and ends with a punctuation mark D The sentence is not a statement because it is true and false simultaneously

Next question Let s represent the following statement s One races fast Express the statement One does not race fast symbolically The statement is expressed symbolically as

ork 3 1 Question 7 3 1 17 Form the negation of the statement Friday does not come before Saturday Choose the correct answer below HW O Next question O A Friday comes before Saturday B It is not true that Friday comes before Saturday OC Saturday does come before Friday OD Sometimes Friday does not come before Saturday

The following statement is false r Mars is not the closest planet to Earth Use the representation of r to express the symbolic statement r in words What can you conclude about the resulting verbal statement Choose the statement below that expresses the symbolic statement r in words OA Sometimes Mars is not the closest planet to Earth OB Sometimes Mars is the closest planet to Earth OC Mars is the closest planet to Earth OD It is not Mars that is the closest planet to Earth

Next question The statement listed below is false Let p represent the statement p That plant became extinct in 1627 Express the symbolic statement p in words What can be concluded about the resulting verbal statement In words the symbolic statement p is A The population of that plant grew in 1627 B That plant is not extinct C It is true that the plant became extinct in 1627 O D That plant did not become extinct in 1627 S

Determine whether or not the sentence is a statement Burros are amphibians Is the given sentence a statement A No because the sentence is always false B Yes because the sentence can be either true or false but not both simultaneously OC Yes because the sentence is always true OD No because the sentence can be both true and false simultaneously

What are the solutions of 2x 16x 34 0 O 4 2i O 8 2i O 8 ti Q 4 1

The table of values forms a quadratic function f x x f x 1 24 0 1 2 3 4 5 30 32 30 24 14 0 What is the equation that represents f x Of x 2x 4x 30 Of x 2x 4x 30 Of x x 2x 15 Of x x 2x 15

Solve x 7x 12 Ox 2 and x 6 Ox 6 and x 2 Ox 4 and x 3 Ox 4 and x 3

Which of the following is a factor of 6x 17x 12 3x 4 O 2x 4 3x 3