Quadratic equations Questions and Answers

Solve the equation cos for all values of in the domain 0 0 2 Also draw either a horizontal vertical or diagonal line that goes through all solutions to the equation Express your answer both in radians and degrees Type of line Diagonal Line Drag the line to show the correct angles 1 0 V3 2 3 Degrees 30 0 1 OT 210 8 2 2 2 1 2 450 0 1 for 10

Find the length of the unknown side of the triangle ft The length of the unknown side of the triangle is Simplify your answer Type an exact answer using radicals as needed CIS

Consider the polynomial Choose the posibles zeros of p x Considera el polinomio p x 21 21 61 21 Escoja todos los valores a continuaci n que son posibles ceros de p x Escoger valores incorrectos resultar en una disminuci n del valor total Seleccione una o m s de una 1 3 3 H A 17 I 1 H 1 7 x 3

If f x x 2x 9 determine f 2v2 6 Do not include f 2v 6 in your answer Provide YOUr 300uer

The entire graph of the function is shown in the figure below Write the domain and range of fusing interval notation

1 pts a Identity the leading coefficient Does the parabola open up or down 6 Does the graph shift right or lett By how units many A Does the graph shift By how many units 2 Graph f x 2x 8x 3 Vertex Formula Axis of Symmetry up or y intercept Additional point extra bonus point down Axis of Symmetry Formula vertex

Find the sine and cosine of the given angle Select a single answer cos 120 sin 120 3 cos 120 3 sin 120 120 cos 120 3 sin 120 cos 120 sin 120 3

20 The base of a triangular shaped tarp is 5 yards longer than its height The area of the tarp is 75 squar yards Derive a quadratic equation and solve it to determine the height and the base of the triangular shaped tarp

Write the equation of the quadratic function from the given graph Varis Select one O a f x x 5x 6 O b f x x 5x 6 O c f x x 5x 6 O d f x x 5x 6 aris 4

A new car is purchased for 30 000 and over time its value depreciates by one half every 6 years How long to the nearest tenth of a year would it take for the value c the car to be 3 500

10 f x x 2 5 3 Lool 48 6 gaivotal yd noitrups is Ay 2 8 6t N 2 6 oo X

Write the equation of the circle centered at 5 5 with radius 14

39 Which row of Pascal s Triangle should you use to expand 2x 5y

The height of a redwood in meter tree varies with age years Identify the dependent and ndependent variables Height is a dependent variable and age is an independent variable Height is an independent variable and age is a dependent variable Height is a dependent variable and age is a dependent variable

Write the equation of the circle centered at 7 4 with diameter 16

The axis of symmetry of f x 5x 10x 3 is and the graph opens down

ra Tiva and Tiffany have a half pound of chocolate ice cream How many pounds of ice cream will they each get if they divide it equally

Now lets look at more than 1 change at a time when both the amplitude and the midline are not 1 Consider f x 2 cos 0 3 YA 2 3 Na 3 4 5 6 K N k 32 0 Here are some questions for discussion What is the midline of f Explain how you know What is the amplitude of f Explain how you know

Question 10 The sum of hundred and a number is two hundred Identify the appropriate equation Points 1 100 x 200 Ox 100 200 Ox 100 200

30 Which is the equation of the parabola with 5 0 and 1 0 and through x intercepts the point 1 16

Which of the following is equivalent to the expression below 3x 1 4x 2 x 7x x 7x 1 B x 7x 3 3x 3x 3 D x 12x 2

through the point 1310 and parecalled to the lime whose equation is 5x y 1 write youre in slope intercept from Amo answer m Note Can you do delete detels then I able to understanty please

7 Is the kely to show the value of an account that earns simple interest or compound interest Explain your choice YEARS 8 yo

Question 6 Write the equation of the hyperbola 162 36y 96x144y 5760 in standard for

18 y 2x 16x 35 2 m of 10 11 12 y X

de to up a cylindrical inflatable pool outside during a hot day The total volume of the Answer 3 pool is 66170 cm You have to use a bucket with the following dimensions to fill up the pool 6 cm 9cm Which formula should I use V wh V r h What is the volume of one bucket How many buckets will it take to completely fill the poo p to full capacity

Find the equation of the ellipse with the center 6 3 a focus at 3 3 and a vertex at 11 3

Solve 6 cos 2x 6 sin x 1 for all solutions x 0 2

1 2 pts Solve the above equation to determine when the theater 1500 profit 1 4d 200d 1500 1500 4d 200d 1600 0 a 200 200 4 4 1600 2 4

50 10 4 2d 3d 7 12 5 3 5z 3 14 Kimmic 9 10

Factorize x y 8y O x 3y x 3y O x y 4y O x 3y x y 4y

12 60 120 43 22 946 55x105 5 775 Joey and Andy go to a candy store to buy some candy Joey eats 1 3 of the candy they bought Andy ate 2 4 of the candy How much candy is left Write Numbers

How can you write 5 000 000 as a product of a single digt and a power of 101

12 Solve triangle ABC if A 48 a 17 4 m and b 39 1 m

5 Fill in the missing portions of the function to rewrite f x 2x 14x 24 to reveal the zeros of the function What are the zeros of f x Enter your answers in the boxes g x 2 x Zeros x and

Since the boxes do not need lids Jesse recommends making the boxes by removing congruent squares from each corner of the cardboard folding up each edge of the sheet until the cut edges at each corner meet and taping the cut edges together His method is illustrated here Which statements are true about Jesse s method Select all that apply The base of the resulting box is a square The height of the resulting box is twice the side length of one of the cut squares The base of the resulting box is a rectangle that is not a square The sides of the resulting box are squares The height of the resulting box is the same as the side length of one of the cut squares The sides of the resulting box are rectangles that are not squares cut cut cut cut fold fold fold tap

X 3 5 1 8 6 0 chnology y 1 2 0 5 7 4 O The relationship between x and y is strong and positive O The relationship between x and y is moderate and positive The relationship between x and y is weak and positive

A general function rule that relates the side length of the cut square to the surface area of the box formed will be helpful in investigating the surface area for all possible boxes T 2 2 MERFE Edge length of cut squares feet 1 Let x represent the side length of the cut square and y represent the surface area of the box Drag tiles to write a rule that could represent this relationship 4x 1 5 Y 36 2 MHHK Process 36 4 1 36 4 1 5 36 4 2 4 36 Surface area of box square 32 27 20

Determine whether or not each of the following polynomials is irreducible over the integers O 2 marks x4 4x 8 O 2 marks x4 2x 6 O 2 marks x4 4x 4

If f x x 2x 35 2 31 18 Select the correct answer below O f g x O f g x O f g x O f g x O f g x O f g x x 5 x 6 and g x find f g x and any domain restrictions for f g x 2 7 x 5 x 6 x 5 x 6 x 5 x 6 where x 3 6 7 x 5 x 6 where x3 6 7 x 5 x 6 where x 3 6 7 where x3 6 7 where a 3 6 7 where x 3 6 7

Points 1 Question 8 The direction of the dots shows the Oscatter O increase O decrease of various points in the graph

The function P t Po e0 16 describes the growth of a population Give the starting population at time t 0 The population at time t 0 is

9 I got the job because I A had living B had lived in Italy for many years C have living D had been lived at fam Innanh said I will deve on so

8 7 6 5 4 3 2 5 10 15 20 25 30 35 40 A do Find the x intercept s of the quadratic f x ax bx c If there are more than one separate the points by a comma If no x intercept exists enter DNE

receive full credit you must write up your own solut you worked with Writing mathematics well is a craft aim to hone this skill Problem 1 5 points Find the partial fraction decomposition of the rational expression 9 9r 6 2x 8x 4 Problem 2 5 points Find all solutions of the system of equations 0 12

On average William takes 2 less hours to assemble a computer than Douglas If working together William and Douglas can assemble 25 computers in a combined 60 hours how long does it take Douglas to assemble a computer Do not include the units in your answer

Identify the relationship between the two variables 7 X y 2 6 4 12 O Positive correlation O Negative correlation O No correlation 6 18 21

For the given functions f x 2x 4 and g x 3x 6 find a fog x b gof x c f o f x d g o g x a fog x Simplify your answer Do not factor

A rocket is fired upward from some initial distance above the ground Its height in feet h above the ground t seconds after it is fired is given by h t 16t 128t 1040 a Find the point that is the vertical intercept What is the practical meaning of the vertical intercept b Find the point that is the vertex c The vertex is a O minumum point O maximum point d What is the practical meaning of the vertex

50 Use the information listed below to solve parts a through h Suppose the price and supply of the watch are related by the following equation where p is the price in dollars and q is the quantity supplied in hundreds of watches Re Opt p S q 0 75q Answer parts e through g e Find the quantity supplied at a price of 0 At a price of 0 the supply is f Find the quantity supplied at a price of 10 watches At a price of 10 the supply is about Round to the nearest whole number as needed watches