Quadratic equations Questions and Answers

ships Between Functions Which graph shows the solution region of this system of inequalities y 2 1 3 ys s 45 5 OA OB

LBAE LDEA LABE LEDA Prove AABE AEDA B A D E

erform the indicated operation 10 3 4x 3 4x 3

iven the blue function f x Which exrpession correctly represents its transforamtion sh Ay 1 51 41 31 2 1 2 3 4 5 X What is the transformation

chips Between Functions Which piecewise function is shown on the graph A OB OC 4 T f s 5 2 8 2 3 21 5 f 2 5 2 2 2 1 51 2 5 2 2 1 2 2 1 21 2 2 1 1 2 2 3 21 2

12 Maximize the function z 0 1x 0 ay XZ O yZo z 2x y 5 2x x 4

write an introduction about Prime and K prime labeling of wheel graphs

5 Manuel takes a 5 year loan that has 60 end of the month payments of L under the nominal annual interest rate of 12 compounded monthly He uses the loan amount to purchase a 1000 par value 10 year bond yielding an annual nominal rate of 8 compounded semi annually and paying semi annual coupons at an annual nominal rate of 6 Find L

Sketch the parametric equations for 2 1 2 7 x 1 1 2 y t 1 t 9 3 x 1 1 2t y t 1 8 x t 5 1 y t 21 1 10 x 1 21 2 y t r

G be the midpoint of DC Determine the shaded area in cm F A K C E IC LB H

Consider the linear mappings F R R G R R and H R R given by the formulae below F 1 22 23 4 2 5 22 22 23 21 23 G 21 22 23 4 21 5 22 20 23 20 1 25 22 100 23 H 21 22 4 2 4 2 21 2 A One of these maps is not injective Which is it B One of these maps is not surjective Which is it No answer given 3marks 3marks No answer given C In the case of the non injective map what is the dimension of its kernel D In the case of the non surjective map what is the dimension of its image 3marks 3 marks

A function is graphed below 14 3 0 5 17 Which of the following best represents the range of this functio

Find the missing dimension of the cylinder Round your answer to the nearest whole number 3 Volume 84 in 6 in 4 Volume 650 cm 8 cm T4L

1 y 6x y x 9 3 y x 2x 4 y 3x 10 5 y 3x x 5 y 2x 1 2 y 2x 5 y 2x 3x 3 4 y 3 x y 3 6 y 2x 2x y 2x 6

chef records the temperature of their sauce every two minutes and records it in the table below Find quadratic model for the data and use it to predict the temperature of the sauce after 23 minutes Time min Temp F 0 40 2 52 4 68 6 75 8 88

on the inequalities graphically Label the XL2x 1 YZX 4 solution Sets State the coordinates of a point in the solution set 15 Determine the solution to the giver system OR lequations graphically solution

Enlarge the figure with a scale factor of 1 5 Choose the coordinates of the vertices Select all that apply 3 2 1 5 3 1 5 1 5 3 3 3 1 5 3 3 in 4 ob 19 19 3 P S N tin X

The graph of y 2 is shown below 2 R MM 5 L 3 19 1 L d 1 2 3 4 5 6 I Use the graph to determine which of the ordered pairs is a solution to the equation Select All correct answers

T The graph of y 2 is shown below 2 5 4 3 2 6 5 4 3 1 2 3 4 5 6 Use the graph to determine which of the ordered pairs is a solution to the equation Select ALL correct answers

1 a Given y w EZ 0 y 9 0 w 9 if y 1 5 9 w is 8 y 2 6 0 wis5 Jurmonly y 3 7 wis 8 y 4 8 wis 9 1 P 2 xushy o noitari lot mour i Please use the orderded pair to represent the relationship between y and w ii Please use venn s diagram and element pair relations to represent the relationship y and w if y is 8 what is the related w

Is this a function Domain Range 1 BE 3 5

Identify the graph of g x 4 6 4 Ay 2 Find the domain and range 1 x 3 Ay 2 2 4 Y 6 Ay 2 2 0 51 F Partly sunny

A group of students measures the distance a toy car has traveled after different 9 amounts of time A table of the data is shown Time seconds 5 6 7 8 9 10 11 12 13 14 15 Distance meters 1 0 1 2 2 4 3 3 3 7 11 0 4 2 3 7 4 8 4 5 4 9 The students want to perform an analysis of the data set and are considering if they should remove the outlier point Select all of the quantities that will change if the outlier point is removed from the data

Which of the following functions have a domain of all Real numbers Quadratic Functions

True False The graph below has a maximum value O False O True 2 9 2 O 2

Find a positive and a negative coterminal angle for each given angle 7 60 8 60 9 45

Write an equation of the line perpendicular to the graphed line and contains the point 3 2 Your Answer y 2x 3 1 1 y 2 2 y 2x 4 y 1 7 Go to Station 6 Station 8 Station 2 Station 3

1 Convert each point to exact polar coordinates using positive values for r and 8 a 5 0 b 4 4 3

13 Solve for X x 3 2 X a x 1 b x 5 c x 7 d x 1 4

If the perimeter of the figure below is 20 feet what is the area of the figure O 5 ft O 24 ft O 120 ft O 123 ft 36 x 1 feet 20 X feet

Add X 9 8x 39 x 2x x 6 O x 6 X 31 O The expression is undefined at x 3 and x 2 X 9 x 2 x 3 The expression is undefined at x 3 and x 2 O x 12x 27 x 2 x 3 Identify any x values for which the expression is undefined O 7x 30 x 2x 8 The expression is undefined at x 3 and x 2 The expression is undefined at x 4 and x 2

Function f x undergoes a single transformation to create function g x The graphs of both f x and g x are shown 11 10 9 8 7 Create g x in terms of f x 1 LE 4 3 atr g x f x 5 4 3 2 1 0 1 2 3 4 5 X

Solve log4x log4 x 3 log 10 O 5 05 02

x 4 16 raw the graph with the equation of y 1 1 1

5 You are in charge of the annual powder puff football game You designed a T shirt to sell during the event A company charges 750 for the first 100 shirts and 500 for each additional 100 shirts A Write an equation that represents the total cost as a function of the number in hundreds of shirts ordered 2 points B Find the total cost of 500 shirts 2 points

Choose the responses which make the following statements TRUE regarding the graph of f x x 2x 3 f x has a Select Select f x has x intercepts at Select Select 0 f x has a y intercept at 0 Select at Select 0 and

6 AABC is a right triangle with 3C 90 What is the length of C A 8 C a 12 6 14 c 15 17 B

7 Given x andy are positive numbers Simplify 8x3 6 4 3 8 x y u a 7 xy 4 2xy 3x43 3x 3 y xy c SxY 2 d 2x y 9xyz 2 27 x y 2 3

The following is a graph of which inequality 7 6 3 Ox 4 O 4 O 4 OM4 10 12 3

This oblique cylinder has a volume of 90 m and a base area of 12 m What is the height of the cylinder 1 Z

14 Triangle ABC is a rts with C 90 Find Tan Ht Cos B A B a Tan A b Cos Be b tan A a cosB c tanA b Cos B 2 tanA Cos B b 2 C d o Recall CB a AC b

LO 5 Identify the graph of the system of equations y 2 1 y x x 1 Ay 2 2 X X y Ay 4 4 x Select the solution s of the system 0 1 1 2 2 9 3 4 O 2 0 1 O 1 6 2 5 Ay 2 no real solutions 2x

Question 8 of 15 Graph the logarithmic function g x log x 1 To do this plot two points on the graph of the function and also draw the asymptote Then click on the graph a function button Additionally give the domain and range of the function using interval notation Domain Range

10 8 6 4 30 a 24 18 12 y 12 18 24 30 10 x 8 10 Identify a and b for the hyperbola with equation x a 62 1

x 2y 10 3x y 15 The shaded region is a feasible region Maximize Z 2x 5y from the graph above

Find the area of X u v rcosvcosu rcosvsinu rsinv 2 v 2 U T

5 8 6 Y 8 6 4 2 A g 7 6 8 2 y f x 6 8 y g x x

Geometry Find the area of X u v rcosvcosu rcosvsinu rsinv 2 V 2 U T

5 Determine which sets are bases for R2 or R Justify each answer 5 CHE 4 a L T P L 7 3 L5 J J L 2 FOT

1 2 3 4 lim f x X4 2 lim f x lim f x 5 lim f x 6 lim f x 7 lim lim f x 8 lim f x of f x above evaluate the limits below 9 lim f x x 1 2 1 H