Quadratic equations Questions and Answers

USR f x x 4x 1 A Dase the graph a four fuction open of ward or down ward F x x 4 X 12 4 HAY Put then X Y f x 12 3 15 2 16 11 15 3 the Vertexis 2 16 that all x4 Values 4 12 on the graph we 3 15 get the curve 15 15 2 Vintercept 12 543 2 we get X intercept jo 6 0 a TE THE

Vendors in a park during the summer Number of vendors 254 124 193 122 121 120 119 116 116 115 114 113 110 109 108 107 106 a Years after 2012 From the graph we can read the ordered pair 3 117 is a point on the graph Write a sentenc describe the meaning of this order pair

8000 7900 Factory Line 1 Truckload Output by Year 7800 7700 7600 7500 7400 7300 7200 7100 7000 011 2012 2013 2014 2015 2016 2017 2018 201 6900 To the nearest hundred a Estimate the number of Factory Line 1 Truckload Output for the year 2013 b Estimate the number of Factory Line 1 Truckload Output for the year 2017 c Find the year with the greatest output for that year d Find the year with the least output that year What was the approximate Truckload Outp What was the approximate Truckload Output fo

Given the graph of f x and g x below determine the graph of f g x 6 2 5 1 4 30 2 1 0 1 2 3 4 0 1 2 3 4 g x f x 5 6 7 8 9 10 11

Factor the GCF out of the following expression 24x y 54x y 12x y5 Your answer should take the form A B C D where A is the GCF of the terms in the expression

Given f and g below find f g 1 Do not include f g 1 in your answer f x 2x 3x 1 g x 3x 2

Given the expressions 50np 2m 3n 50m p 2m 3n 7 and 55mp 2m 3n 3 find the GCF Sorry that s incorrect Try again

and the solution of the quadratic equation from the given graph 7 Y azis V D Select one O a 3 1 O b 3 1 OC 3 1 O d 3 1 t aris

Choose the solutions roots of the following graph 10 10 20 Select one or more O a 0 b 9 C 2 O d 8 10 20

What is the length of x in the following triangle 4 8 x 7 x 4 O x 14 x 22 O None of the choices are correct O x 11 O

Question Given the expressions 50np 2m 3n 50m p 2m 3n and 55m4p4 2m 3n find the GCF war holour

Give four different names for the points indicated in the diagram

the solution of the quadratic equation from the given graph 2 6 5 2 0 Select one a 2 6 Ob No Solution OC 2 Od 0 6 y axis 0 3 2 6 axis 7

Phillip is standing on a rock ledge that juts out over a lake He tosses a rock straight up with a velocity of 48 feet per second The rock leaves his hand at a point 64 feet above the surface of the lake The rock travel upward and then falls into the lake This graph and table represent the height above the water h t as a function of the time t in seconds afte Phillip releases the rock WHAT IS THE MAXIMUM HEIGHT The ROCK REACHES ABOVE THE SURFACE OF The LAKE Height Above Water ft h t 100 50 87 feet 100 feet 117 feet 205 feet 1 1 2 3 4 Time sec 5 Height h 1 0 1 2 3 4 Time 1 64 96 96 64 0

DIRECTIONS Based on the definitions above label the vertex axis of symmetry x intercepts and y intercept of the parabola below 2 1 3J 2 1 1 2 3 2 3 4 5 6 4

1 Match each graph with its corresponding equation a b c d B 104 20 44 8 2 NA 8 4 4 20 4 8 8 4 4 20 A y 2 2 By 2 C y 2 D y 2x

Row 1 Row 2 F Function A f x x 5x 5 Function B g x 2x 5x 4

Use the table below to find the value See Example 4 X 0 1 2 3 4 5 7 8 9 1 1 3329 3662 2014 0738 0203 0045 0008 0001 0000 0000 1 2 3012 3614 2169 0867 0260 0062 0012 0002 0000 0000 1 3 2725 3543 2303 0998 0324 0084 0018 0003 0001 0000 P X 3 for 1 9 1 4 2466 3452 2417 1128 0395 0111 0026 0005 0001 0000 1 5 2231 3347 2510 1255 0471 0141 0035 0008 0001 0000 A 1 6 2019 3230 2584 1378 0551 0176 0047 0011 0002 0000 1 7 1827 3106 2640 1496 0636 0216 0061 0015 0003 0001 1 8 1653 2975 2678 1607 0723 0260 0078 0020 0005 0001 1 9 1496 2842 2700 1710 0812 0309 0098 0027 0006 0001 Due Fri 2 0 1353 2707 2707 1804 0902 0361 0120 0034 0009 0 0002

101 3 2 Which equation best represents the data shown in the scatterplot 6 8 9 X

1 2 1 3 2 1 1 0 1 1 2 3 X 1 2 1 3 2 1 1 1 1 2 0 3 2 2 1

Find the coordinate matrix of x in R relative to the standard basis x 6 2 x s 11

Formula P A P B P A and B 1 A bag contains eight yellow jerseys numbered one to eight The bag also contains ten purple jerseys numbered one to ten You randomly pick a jersey Fill out the following chart yellow Greater than 5 5 or less purple total total What is the probability that it is purple or has a number greater than

2 On July 1st the probability of rain is 0 54 the probability that the maximum temperature for the day will exceed 85 F is 0 88 and the probability that it will rain and that the maximum temperature will exceed 85 F is 0 72 What is the probability that it will rain or the maximum temperature will exceed 85 F

Let f x x x 2 and g x x 2 be polynomials in Z3 x Let I be the ideal generated by f x and g x Prove that 1 E I

Select the graphs that do NOT show functions U N 0

Graph y 2 10 9 8 7 6 5 4 3 2 10 9 8 7 6 5 4 3 2 2 3 R 6 7 8 N 9 1 2 3 4 5 6 7 8 9 IC

Graph y x 3 10 9 8 6 5 4 3 2 1 10 6 1 7 8 9 9 8 7 6 5 3 2 1 4 3 4 5 3 4 6 7 8 9 10

Let T T Ax for the following matrix A and let 6 be the vector given below 0 1 2 4 8 1 0 0 0 1 5 3 a State the domain and codomain of T A b Is T onto Is T one to one b 1 0

a Find the region of convergence of the series State which test you are using nn n 1

Find the length of the unknown side of the triangle The length of the unknown side of the triangle is ft CLUB

Describe how to find a point of discontinuity

What is the surface area 4 cm 6 cm 1 cm square centimeters

Find a function for the graph shown 3 pts each a b 10 5 5 0 5 10 5 5 5 0 5 10 inf 5 10

Trigonometry Explain how 01 02 03 04 values are obtained Final answer is provided Explain the steps used in finding these values Antenna normalised array factor is given by 12 5 sin 15 0 3 cos 0 sin 15 cos 0 4 On solving in radians 0 1 6913 rad 0 1 4503 rad 0 4 8329 rad 0 4 5919 rad Question Explain the steps in details how above e values are obtained from above main equation

graph best corresponds to this equation y x Option 1 Option 3 MacBook Air NZ Option 2 Option 4

Graph the inequality 2y 4x 6 R Y 2x 3 M 65 3 Line Broken Line Shade Above Check one solution 6 in 3 2 1 6 5 4 3 2 1 0 N

Watch help video The pentagonal prism below has a base area of 37 units2 and a volume of 444 units Find its height

Let A 8 27 3 5 3 U 2 1 1 Define a transformation T R R2 by T x Ax Find T u the image of u under the transformation T

Which graph best corresponds to this equation y x 3 Option 1 Option 3 A Option 2 Option 4

SOLVE x 7 3x O 4 5 1 5 O 1 5 9 25 O 2 3 O No Solution

hat is the DOMAIN O ALL REAL NUMBERS Option 2 xx

Determine the domain of the following graph 2H998 12 11 10 76 5432 1 12 11 10 9 8 7 6 5 4 3 2 1 2 66 ch N 4 y 5 6 8 9 3 4 5 6 7 8 9 10 11 12

Given this graph of the function f x Find f O 3 0 0 0 O 3 3 AND 1

What is the DOMAIN 1 2 3 4 5 O 1 2 3 4 5 O 0 1 All real numbers Ox 1 0 1 Y

bike with A making 120 Find the the angular Speed with a 20in diameter is min revolutions per linear speed and

Which set of ordered pairs represents y as a function of x O 9 2 0 6 1 2 3 6 O 1 0 4 3 7 3 1 8 O 3 2 4 2 3 1 4 1 O 5 4 2 3 1 1 2 4

Find the value of f 4 y f x 10 8 6 4 2 10 8 6 4 2 N 6 8 10 2 4 6 8 10

Is this a function 1 2 3 8 Choose 2 4 6 8 10 Y

What is the RANGE of this relation 1 2 3 X 1 2 3 2 4 6 8 10 All real numbers Oy 2 2 4 6 8 10 Y

the graph NOTE you should see an arrow on the left and a solid dot on the right Option 1 A 8 12 y 3 y 3 Option 2 y 2 y 2