Quadratic equations Questions and Answers

Use logarithms to evaluate 895 73 486

Identify the vertex and leading coefficient Then write the expression as f x ax bx c f x x 4 2 5

3 Angles of Elevation Depression Be sure to show any and all work a 5 pts If we have a point 6 14 on a graph and a line that passes through it at an angle of elevation at 60 degrees what is the function created by that line b 5 pts We know that the distance between us and a pole is 50 yards and the height of the pole is 20 yards as well What is the angle of elevation between us and the pole c 5 pts How close are we to a wall if our eyes are 5 ft above the ground creating an angle of depression to the ground that is 59 Degrees d 5 pts What are the angles of both corners in a right triangle if both sides have equal length

Solve the equation Check your solution 6 1 2 12

Solve the equation Check your solution 4x 9 4x 33

Solve the equation Check your solution 5x 6 1 5 18 Simanl 6 TYDO 6 teger or a frac

Contestar lo siguiente a Hallar un ngulo entre 0 y 360 que sea coterminal con 1170 b Hallar un ngulo entre 0 y 2 que sea coterminal con Dar valores exactos en sus respuestas a b radianes X JT 5 19T 10

Hallar los valores exactos siguientes Si procede hacer clic en No est definido sin 11x 3 0 sec 225 0 8 Indefinido X JU

Let 5 4 be a point on the terminal side of 0 Find the exact values of sin 0 sec 0 and tan 0 sin 0 seco 8 X 0

Find the exact value of cos 315 cos 315 0 3 16

Write an equation of the circle with center 9 3 and radius 4 0 8 0 0

1 15 pts For the following questions draw a right triangle with the values in their corresponding positions Once you have the triangle drawn find the missing values be sure to show work try out different methods to solve for the missing values too a The angle next to a length of 5 inches is 60 degrees and the hypotenuse is 10 inches b The two sides of a right triangle are 6 meters and 8 meters puro of a right triangle is 15 created with angles 0 36 87 and

Which system of inequalities is represented by the graph O y 3x 6 y x 6 y x y 3x 6 y x 6 y x y x 6 y 3x 6 y x y x 6 y 3x 6 y x 10 8 6 4 10 N 8 6 4 2 94 4 b 6 8 10 2 4 6 xX 8 10

1 3 4 5 ach radical and write in simplified radical form 6 863 9b 4 32n 80n 3m 3 4m4 21uv 8 42u v 6 4 2x y 64x y 2 3 60x 15x y

Which ordered pair is a solution to the system of inequalities Jy 2 x y 4 O 1 5 O 1 3 O 2 3 O 0 4

Which graph represents the solution set to the system of inequalities 2x y 2 4 y 2x y 3 x 10 8 6 12 8 6 4 2 2 4 y 10 8 6 6 X 8 10 ca 10 8 6 4 Gi y 6 4 2 4 10 8 2 4 6 X 8 10

Simplify 27x6y Assume all variables are nonnegative Enter your answer in the box

What is the expression in radical form 5ab 312 O 125a b3 O 5a 6 212

Solve the equation Check your solution 5k 4 5 3

Solve the equation Check your solution 3x 4 1 7 12 The solution set is Simplify you or Tune Integ o fre

Select the value of the y intercept in the graph below 2 8 7 99 6 5 4 3 2 L 2 1 N 2 4 5

Identify the value of the zero s in the graph below Select all that apply 5 4 3 2 A 2 B 0 C 1 D 1 E F 12 3 10 086 4 42 2 2 4 6 B 12 14 16 18 20 1 3 4 5

10 8 6 6 The function is I There is function is 2 I 0 5 10 15 x 2 There is a I 20 25 3 35 40 interval 2 x 6 8 on the interval on the at 32 at 4 and at 2 The positive negative zero

Choose the statement s that is are TRUE about the graph below Select all that apply Y 5 4 3 2 1 A B C D y 3 2 1 0 14 3 4 5 1 2 3 The function has three zeros 4 The function is positive on two intervals X 5 The value of the y intercept is 2 The function is negative on two intervals

Evaluate each function for the given value 11 f x x 6x 7 Find 0 A 7 B 2 C 6 D 2 3 3 f x 4x 4 Find f 3 B 7 D 8 A 9 C 2 2 2 f x 3x 4 4 Find 2 B 2 D 8 A 4 C 9 4 4 f x x 2x 4 Find 0 A 1 B 3 C 0 D 4

Choose the correct values from the dropdown menu to identify the domain and range of the graph below 5 4 3 2 1 LO The range is 4 3 2 4 2 3 5 1 2 3 4 5 The domain is x y

notation 5 4 3 2 1 A B C D 5 4 3 2 H 4 2 3 5 1 2 3 4 5 5 y 4 5 y 3 3 y 4 3 y 2

Identify each graph as discrete or continuous Drag the correct answer to match with each graph situation The weight of a horse The number of TV sets in your house 31 5 4 3 2 1 1 2 3 4 5 5 4 3 2 1 2 4 1 2 3 4 1 2 3 4 5 I I I I

Each graph represents a relation Determine if the relation is a function DIS 14 3 A The relation is not a function B The relation is a function 10 HO The A The relation is a function B The relation is not a function 2 4 E 41 DEL 19 M Blind HIND 100 10 SHALI PEN A The relation is a function B The relation is not a function IN A The relation is a function B The relation is not a function FOM

9 A Domain x 5 Range All real numbers B Domain x 4 11 Range All real numbers C Domain x 6 Range All real numbers D Domain x 5 Range All real numbers 10 10 A Domain 3 x 5 Range 6 y 6 B Domain 3 x 4 Range 4 y 4 C Domain 1 x 3 Range 6y 6 D Domain 2 x 6 Range 7 ys5 12

What is the y intercept of the function 10 07 05 5 5 256 10 X

Describe how the graph of the function g x x1 2 can be obtained from the basic graph Then graph the function Start with the graph of h x x Then Type an integer or a simplified fraction it vertically by a factor of Finally shift it 12121 unit s

Describe how the graph of h x 2x 3 can be obtained from one of the basic graphs Then graph the function Fill in the blanks To obtain the graph of h x 2x 3 start with the graph of y by multiplying each and shift it units it by Then reflect it across the

Describe how the graph of g x x 9 can be obtained from one of the basic graphs Then graph the function Select the correct choice below and fill in the answer box to complete your choice O A Start with the graph of y Shrink it horizontally by a factor of 9 B Start with the graph of y Shift it left 9 units OC Start with the graph of y OD Start with the graph of y Shift it up 9 units Shift it down 9 units

Decide whether f is even odd or neither f x x 2x 7 Choose the correct statement A The function is even B The function is odd OC The function is neither even nor odd

A farmer has 600 meters of wire fence with which to build two identical rectangular pens that share one side as shown below Note you can move the point to alter the rectangles Let be the length in meters of the shared side Express the combined area of the two pens as a function of x A x For what value of x is the combined area maximized Round your answer to two decimal places m What is the maximum combined area of such an enclosure Round your answer to two decimal places

Divide the following and round to the nearest hundredth 29 432 0 0012

to the point In the image below you can slide the point along the curve to visualize this scenario 5 0 5 3 3 5 Enter the coordinates of the closet point Round each coordinate to two decimal places

1 Dan has to pay 2 each time he takes the city bus Write an equation for the cost y of Scenario 1 taking x bus trips Y ax 2 One week Dan s bus bill is 34 How many times did he ride the bus X 1 34 2 17 17 timet 3 Dan can buy a monthly bus pass for 39 50 If Dan takes the bus an average of 25 times per month should he buy the pass No because he ll only becible 39 50 2 ride 19 75 to 19 Jimes with the Padd without GP Of The Pass if 38 so the past y a 30 2 25 4 Write an equation for x in terms of y 17y x Scenario 2 1 At Cayla s cookie decorating business she can decorate a dozen cookies in 2 minutes Write an equation for the number of cookies decorated d after m minutes 2 How long would it take Cayla to decorate 30 cookies doporoto 4 cookies per minute write an equation for how

Solve the equation Check your solution 3x 4 10 X5

Solve the equation Check your solution 0 9w 36

Solve the equation by multiplying by the LCD 4a 5 7 5 11a 17 21

Solve the equation Check your solution 4 x 20 x 6 5

Use formulas to find the area of the figure 3 cm 5 cm b OA 28 5 cm 2 OB 24 cm OC 12 cm OD 75 cm 19 cm 8 cm

Solve the equation Check your solution 4t 5 25 t

1a If Carter can drive 80 miles in 2 hours and he equation below represents the number of miles y that Carter can drive in x hours a y 40x b y 80x C y x 40 d y 160x 1b How long would it take Carter to drive 320 miles a 2 hours b 4 hours 8 hours d 12 hours 40x2 80 a 3 b 5 c 6 d 12 2 If Jenna s earnings w after working h hours can be represented by the equati how many more hours would she need to work in a week if she wants to earn an per week 12 13 Ho 60 320 3 If y kx and y 20 when x 5 what is the value of y when x 4 a 4 b 8 c 12 d 16

Do 1 How are you today Is there anything you Good nothing 2 If 80 4x what is the value of x X 20 3 If y 4x what is the value of y if x 5

2 If 80 4x what is the value of x

Solve the equation Check your solution 4 3 5c 11c 6

Solve the following linear equation 3z 5 4