Quadratic equations Questions and Answers
![9x 8x 2x 2x 1 x 4](https://media.kunduz.com/media/sug-question-candidate/20240106112051010634-3739212.jpg?w=256)
![Add or subtract the following polynomials 4x4 3x 14 3x4 14x 8](https://media.kunduz.com/media/sug-question-candidate/20240106111942063329-3739212.jpg?w=256)
![8x 3x 1 x4 4x4 x 17](https://media.kunduz.com/media/sug-question-candidate/20240106111520349993-3739212.jpg?w=256)
![Given the graph of the polynomial function write the function as g x in intercept form y 4 2 O 2 X](https://media.kunduz.com/media/sug-question-candidate/20240106110242960644-3739212.jpg?w=256)
Algebra
Quadratic equationsGiven the graph of the polynomial function write the function as g x in intercept form y 4 2 O 2 X
![A wooden board is leaning against a house The base of the board is 10 feet from the base of the house and the base of the board forms a 35 angle with the ground What is the length of the wooden board Enter your answer rounded to the nearest tenth in the box 17 3 ft](https://media.kunduz.com/media/sug-question-candidate/20240105195112646270-5888822.jpg?w=256)
Algebra
Quadratic equationsA wooden board is leaning against a house The base of the board is 10 feet from the base of the house and the base of the board forms a 35 angle with the ground What is the length of the wooden board Enter your answer rounded to the nearest tenth in the box 17 3 ft
![What is the value of cos C of 60 8 B 15](https://media.kunduz.com/media/sug-question-candidate/20240105195014243465-5888822.jpg?w=256)
![logam x and logany Prove log mn log m log n Drag the statements and reasons into the boxes to correctly complete the proof Statements 2 a m and a n 3 mn a a 4 mn a z y 5 log mn log a z y 7 6 log mn x y log a 8 log mn logm log n log mn log m log n Reasons 1 Given 2 Definition of logarithms 3 Multiplication 4 Exponent rules 5 6 Power property of logarithms 7 Logarithm property log m 1 8 Substitution log m x and log n y log mn x y log mn a x y](https://media.kunduz.com/media/sug-question-candidate/20240105181918840636-5888822.jpg?w=256)
Algebra
Quadratic equationslogam x and logany Prove log mn log m log n Drag the statements and reasons into the boxes to correctly complete the proof Statements 2 a m and a n 3 mn a a 4 mn a z y 5 log mn log a z y 7 6 log mn x y log a 8 log mn logm log n log mn log m log n Reasons 1 Given 2 Definition of logarithms 3 Multiplication 4 Exponent rules 5 6 Power property of logarithms 7 Logarithm property log m 1 8 Substitution log m x and log n y log mn x y log mn a x y
![What is the logarithmic form of 9 81 O logg 2 81 O logs1 9 2 log 81 2 O log 2 9](https://media.kunduz.com/media/sug-question-candidate/20240105182107315949-5888822.jpg?w=256)
Algebra
Quadratic equationsWhat is the logarithmic form of 9 81 O logg 2 81 O logs1 9 2 log 81 2 O log 2 9
![Which expression correctly shows how to rewrite log115 using a log base of 8 log118 log 8 O log 5 log 11 log 11 log 5 log 8 log 8](https://media.kunduz.com/media/sug-question-candidate/20240105181936646099-5888822.jpg?w=256)
Algebra
Quadratic equationsWhich expression correctly shows how to rewrite log115 using a log base of 8 log118 log 8 O log 5 log 11 log 11 log 5 log 8 log 8
![3 7 to search 4 O O 5 6 Which of the following equations has NO SOLUTIONS O 7 8 2 4 3 2 O 2 34 4 2 224 Et 9](https://media.kunduz.com/media/sug-question-candidate/20240105182001933204-3418403.jpg?w=256)
Algebra
Quadratic equations3 7 to search 4 O O 5 6 Which of the following equations has NO SOLUTIONS O 7 8 2 4 3 2 O 2 34 4 2 224 Et 9
![Solve for x In 5x 3 2 x Ox O x 1 e 3 5 5 e2 3](https://media.kunduz.com/media/sug-question-candidate/20240105181952854342-5888822.jpg?w=256)
![22 2a 2 2 4 4 6 4 6 a 2 3a 5 6 r 2 5r 1 3 5 v 4 6 v 7 3](https://media.kunduz.com/media/sug-question-candidate/20240105175921397047-3418403.jpg?w=256)
![3 5 Solve show work Write your answers as complex numbers your answers should have P in them 3 x 3 25 0 4 x 6x 12 0](https://media.kunduz.com/media/sug-question-candidate/20240105165856300210-5365622.jpg?w=256)
Algebra
Quadratic equations3 5 Solve show work Write your answers as complex numbers your answers should have P in them 3 x 3 25 0 4 x 6x 12 0
![Find all values of x that make the equation true Find all values of r that makro the equation truo x 6 3x 9 X X 1 x 3 Sh Show your thinking](https://media.kunduz.com/media/sug-question-candidate/20240105170613504466-5365622.jpg?w=256)
Algebra
Quadratic equationsFind all values of x that make the equation true Find all values of r that makro the equation truo x 6 3x 9 X X 1 x 3 Sh Show your thinking
![n true X x 6 3x 9 x 1 x 3](https://media.kunduz.com/media/sug-question-candidate/20240105170628516186-6470434.jpg?w=256)
![Which figure below is a graph of r x Letter 10 8 6 10 8 6 4 represents the function r x because 6 Y 2 2 2 2468 6 8 469 2 4 2 4 6 8 6 8 Describe why X 10 8 d 6 10 8 6 4 6 4 22 4 6 8 6 4 2 4 22 6 8 2 4](https://media.kunduz.com/media/sug-question-candidate/20240105170346821828-5365622.jpg?w=256)
Algebra
Quadratic equationsWhich figure below is a graph of r x Letter 10 8 6 10 8 6 4 represents the function r x because 6 Y 2 2 2 2468 6 8 469 2 4 2 4 6 8 6 8 Describe why X 10 8 d 6 10 8 6 4 6 4 22 4 6 8 6 4 2 4 22 6 8 2 4
![Simplify 5 27 O 15 3 O 15 3 31 3 O 3 3](https://media.kunduz.com/media/sug-question-candidate/20240105165933075744-6102902.jpg?w=256)
![Here s the quadratic formula For any equation in the form ax bx c 0 x b b 4 a c 2 a Helpful worked examples Workbook pg 124 and pg 131 1 2 Determine how many REAL solutions the following functions have 1 7x 2x 8 0 2 x 2x 1 0](https://media.kunduz.com/media/sug-question-candidate/20240105165708541847-5365622.jpg?w=256)
Algebra
Quadratic equationsHere s the quadratic formula For any equation in the form ax bx c 0 x b b 4 a c 2 a Helpful worked examples Workbook pg 124 and pg 131 1 2 Determine how many REAL solutions the following functions have 1 7x 2x 8 0 2 x 2x 1 0
![Which of the following equations has NO SOLUTIONS O O O O 4 x x 1 3 x 1 4 x x 1 4 1 X X 4x x x 1 2 1 2x x x 1 6 x 1 28 830 X 80](https://media.kunduz.com/media/sug-question-candidate/20240105145220018922-5941211.jpg?w=256)
Algebra
Quadratic equationsWhich of the following equations has NO SOLUTIONS O O O O 4 x x 1 3 x 1 4 x x 1 4 1 X X 4x x x 1 2 1 2x x x 1 6 x 1 28 830 X 80
![Which of the following equations has NO SOLUTIONS O O O O 5x x 2 7 10 x 2 10 2 2 7 2 2 X 3 7 x 2 x 2 5x 5 2 7 252](https://media.kunduz.com/media/sug-question-candidate/20240105145230804250-5941211.jpg?w=256)
Algebra
Quadratic equationsWhich of the following equations has NO SOLUTIONS O O O O 5x x 2 7 10 x 2 10 2 2 7 2 2 X 3 7 x 2 x 2 5x 5 2 7 252
![3 Solve each proportion 8 6 5x 2 5x 9 1 3 5 11 n 7 4 2n 10 5 3 7 2a 6 a 2 11 2 4 6 4 6 a 2 3a 5 4 6 x 2 3 11 5x 1 5 v 4 6 11 V 7 3](https://media.kunduz.com/media/sug-question-candidate/20240105145143135384-5941211.jpg?w=256)
Algebra
Quadratic equations3 Solve each proportion 8 6 5x 2 5x 9 1 3 5 11 n 7 4 2n 10 5 3 7 2a 6 a 2 11 2 4 6 4 6 a 2 3a 5 4 6 x 2 3 11 5x 1 5 v 4 6 11 V 7 3
![7 Which of the following equations has NO SOLUTIONS O O O O 1 4 3 2 4 x 4 2 4 1 2x 4 2 2 4 x 4 4 X 2x 2 4 3x x 4 1 3x 4 2 32 x 4 x 4](https://media.kunduz.com/media/sug-question-candidate/20240105145201875125-5941211.jpg?w=256)
Algebra
Quadratic equations7 Which of the following equations has NO SOLUTIONS O O O O 1 4 3 2 4 x 4 2 4 1 2x 4 2 2 4 x 4 4 X 2x 2 4 3x x 4 1 3x 4 2 32 x 4 x 4
![The grain stored inside a cylindrical silo is transferred to a transport container in the shape of a triangular prism The container s trangular base has side lengths 5 8m 5 8 m and 8 1m and height 7 2 m The silo has a radius of 5 83 m 30The cylinder has radius 3 cm height 18cmEach ball has radius 3 cma Find the volume of grain that will be removed from the silo if the container is completely filled b Find the amount by which the height of grain inside the silo will decrease Give your answers to an appropriate degree of accuracy](https://media.kunduz.com/media/sug-question-candidate/20240105091246321150-6362801.jpg?w=256)
Algebra
Quadratic equationsThe grain stored inside a cylindrical silo is transferred to a transport container in the shape of a triangular prism The container s trangular base has side lengths 5 8m 5 8 m and 8 1m and height 7 2 m The silo has a radius of 5 83 m 30The cylinder has radius 3 cm height 18cmEach ball has radius 3 cma Find the volume of grain that will be removed from the silo if the container is completely filled b Find the amount by which the height of grain inside the silo will decrease Give your answers to an appropriate degree of accuracy
![Write a 3rd degree polynomial function with real coefficients having the zeros of 1 and i](https://media.kunduz.com/media/sug-question-candidate/20240105051814821979-4729483.jpg?w=256)
Algebra
Quadratic equationsWrite a 3rd degree polynomial function with real coefficients having the zeros of 1 and i
![orm a polynomial with real coefficients having zeros 2 2 and 3i](https://media.kunduz.com/media/sug-question-candidate/20240105051902776993-4729483.jpg?w=256)
![Given the graph of the polynomial function write the function as g x in intercept form y 2 X](https://media.kunduz.com/media/sug-question-candidate/20240105031833280930-3739212.jpg?w=256)
Algebra
Quadratic equationsGiven the graph of the polynomial function write the function as g x in intercept form y 2 X
![x 6x 16](https://media.kunduz.com/media/sug-question-candidate/20240105024938657701-3739212.jpg?w=256)
![5 000 4 000 3 000 2 000 1 000 2 6 8 10 number of years 4 12 14 The graph shows the yearly balance in dollars in an investment account What is the initial balance in the account VE](https://media.kunduz.com/media/sug-question-candidate/20240105024711193189-3850776.jpg?w=256)
Algebra
Quadratic equations5 000 4 000 3 000 2 000 1 000 2 6 8 10 number of years 4 12 14 The graph shows the yearly balance in dollars in an investment account What is the initial balance in the account VE
![7 Given the line L x y z 1 0 1 t 1 1 1 the plane P 2x y 2z 7 and the point Q 2 0 1 J X t y ter a Find the distance between the line and the X axis b Find the point A on the plane P which is closest to the point Q c Find parametric equations of the line which intersects both the X axis and the line L at a right angle](https://media.kunduz.com/media/sug-question-candidate/20240104233245226941-6400246.jpg?w=256)
Algebra
Quadratic equations7 Given the line L x y z 1 0 1 t 1 1 1 the plane P 2x y 2z 7 and the point Q 2 0 1 J X t y ter a Find the distance between the line and the X axis b Find the point A on the plane P which is closest to the point Q c Find parametric equations of the line which intersects both the X axis and the line L at a right angle
![Which answer describes the transformation of g x log x 3 1 from the parent function f x log r O It is the graph of f x shifted 1 unit right and 3 units down O It is the graph of f x shifted 3 units right and 1 unit up O It is the graph of f x shifted 3 units right and 1 unit down O It is the graph of f x shifted 3 units left and 1 unit up](https://media.kunduz.com/media/sug-question-candidate/20240104212851968741-5888822.jpg?w=256)
Algebra
Quadratic equationsWhich answer describes the transformation of g x log x 3 1 from the parent function f x log r O It is the graph of f x shifted 1 unit right and 3 units down O It is the graph of f x shifted 3 units right and 1 unit up O It is the graph of f x shifted 3 units right and 1 unit down O It is the graph of f x shifted 3 units left and 1 unit up
![Which graph represents f x log x 1 O f x 6 5 4 3 2 2 11 2 3 5 f x 6 5T 4 34 2 14 2 11 2 3 4 5 3 4 5 6 7 8 9 10 st 4 5 6 7 8 9 10 f x 6 5 4 3 2 1 2 11 2 3 4 5 f x 6 5 4 3 2 2 11 2 3 23556 5 2 3 4 5 6 7 8 9 10 2 3 4 5 6 7 8 9 10 X x](https://media.kunduz.com/media/sug-question-candidate/20240104212818297272-5888822.jpg?w=256)
Algebra
Quadratic equationsWhich graph represents f x log x 1 O f x 6 5 4 3 2 2 11 2 3 5 f x 6 5T 4 34 2 14 2 11 2 3 4 5 3 4 5 6 7 8 9 10 st 4 5 6 7 8 9 10 f x 6 5 4 3 2 1 2 11 2 3 4 5 f x 6 5 4 3 2 2 11 2 3 23556 5 2 3 4 5 6 7 8 9 10 2 3 4 5 6 7 8 9 10 X x
![Given the parent function g a log a What is the equation of the function shown in the graph Of a log 4 2 Of a log x 3 2 Of a log a 2 f x log x 3 4 7 0 A f x 1 X 3 4 6 4 2 7 0 8](https://media.kunduz.com/media/sug-question-candidate/20240104212911721332-5888822.jpg?w=256)
Algebra
Quadratic equationsGiven the parent function g a log a What is the equation of the function shown in the graph Of a log 4 2 Of a log x 3 2 Of a log a 2 f x log x 3 4 7 0 A f x 1 X 3 4 6 4 2 7 0 8
![What is the equation of the vertical asymptote of h x 6log x 3 5 Enter your answer in the box X](https://media.kunduz.com/media/sug-question-candidate/20240104212723057711-5888822.jpg?w=256)
Algebra
Quadratic equationsWhat is the equation of the vertical asymptote of h x 6log x 3 5 Enter your answer in the box X
![5 7x 4x](https://media.kunduz.com/media/sug-question-candidate/20240104162732657917-6248545.jpg?w=256)
![5 7x 4x 3](https://media.kunduz.com/media/sug-question-candidate/20240104172700162372-6248545.jpg?w=256)
![609 9](https://media.kunduz.com/media/sug-question-candidate/20240104173142125821-6248545.jpg?w=256)
![5 18 13](https://media.kunduz.com/media/sug-question-candidate/20240104173326926260-6248545.jpg?w=256)
![SE](https://media.kunduz.com/media/sug-question-candidate/20240104173207387526-6248545.jpg?w=256)
![5 17](https://media.kunduz.com/media/sug-question-candidate/20240104173233353414-6248545.jpg?w=256)
![5 98](https://media.kunduz.com/media/sug-question-candidate/20240104173114214723-6248545.jpg?w=256)
![5 3y 24y 21](https://media.kunduz.com/media/sug-question-candidate/20240104170607021676-6248545.jpg?w=256)
![8 h 25](https://media.kunduz.com/media/sug-question-candidate/20240104170702927460-6248545.jpg?w=256)
![4 2r 17r 8](https://media.kunduz.com/media/sug-question-candidate/20240104170544374243-6248545.jpg?w=256)
![2 k2 5k 14](https://media.kunduz.com/media/sug-question-candidate/20240104170502134374-6248545.jpg?w=256)
![6 3x 21x 30](https://media.kunduz.com/media/sug-question-candidate/20240104170624630386-6248545.jpg?w=256)
![7 4p 14p 98](https://media.kunduz.com/media/sug-question-candidate/20240104170646513840-6248545.jpg?w=256)
![3 7n 9n 2](https://media.kunduz.com/media/sug-question-candidate/20240104170524496928-6248545.jpg?w=256)
![1 m 10m 11](https://media.kunduz.com/media/sug-question-candidate/20240104170411560705-6248545.jpg?w=256)
![Donte simplified the expression below 4 1 31 8 5 4 3i 8 5i 4 8i What mistake did Donte make O He did not apply the distributive property correctly for 4 1 3i O He did not distribute the subtraction sign correctly for 8 5i O He added the real number and coefficient of i in 4 1 3i O He added the two complex numbers instead of subtracted](https://media.kunduz.com/media/sug-question-candidate/20240104165904195835-6102902.jpg?w=256)
Algebra
Quadratic equationsDonte simplified the expression below 4 1 31 8 5 4 3i 8 5i 4 8i What mistake did Donte make O He did not apply the distributive property correctly for 4 1 3i O He did not distribute the subtraction sign correctly for 8 5i O He added the real number and coefficient of i in 4 1 3i O He added the two complex numbers instead of subtracted
![11 4x 13x 27](https://media.kunduz.com/media/sug-question-candidate/20240104162954963535-6248545.jpg?w=256)