Quadratic equations Questions and Answers

5 The most simplified form is 42 3 O492 4 282 O492 43 2824 O49x4 4x O492 4 2824 8 O 1127

2 Given the formula V Tr2h solve for r O OF O O

O O Sys 2y 24 O2y 2 8 7 4 The stated problem is already in the simplest for

13 Simplify 2 4 O 5x 452 22 25 O 9x2 45x 22 25 O 5x 45x 25 9x 45x 2 25 O None of the answers shown are correc

15 Simplify if possible Make sure to use appropriate parenthesis 8 274 2 3 Simplified

12 The most simplified form a 4 26 735 is 212 825 1425 O21 82 1425 O O 928 21 82 14z2 K

14 Add 18 385 9c 3 18c 1 4c 1 4c 1 Answer 18 1 9c 3 4c 1 4c 1

OO 0 21 12 ac c abc a c O abc ac 1 O ab 00 O None of the answers shown is a simplification of the origi

7 Simplify if possible 5r 4 47 7 5 r 5 Simplified

destion Select the roots of f x 2x 200 NOTE You will have to submit your scratchwork for this problem in the next question for full credit For more information on this topic look in your textbook in section 2 3 You might also want to look at the A Review of Polynomials presentation 02 2 00 10 10 O 50

Question Use the functions f x and g x given below to perform the operations that follow and answer the questions below x x 2 and g x x 1 f x g x Select A 5 B x x 2 C x2 x D x x 2

checking to see if the functions is even odd or neither by looking at the exponents on x s If all of the exponents are even then the polynomial is even if all of the exponents are odd then the polynomial is odd if some of the exponents are even and others are odd then the polynomial is neither even nor odd Question The function f x 2x 3x is Select

Determine the symmetry of each function 6x y 2 2 2x y 16x 2 y x 2x 3 1 Even 2 Odd 3 Neither

Determine the end behavior for f x x x 3 x 3 As x f x 2As x f x 2 As x f x 1As x f x 1 As x x f x 1As x f x 1 As x f x 0As x f x 0

Shanti wrote the predicted values for a data set using the line of best fit y 2 55x 3 15 She computed two of the residual values X 1 2 3 4 Given 0 7 2 3 4 1 7 2 Predicted 0 6 1 95 4 5 7 05 Residual 0 1 0 35 a b What are the values of a and b O a 0 4 and b 0 15 a 0 4 and b 0 15 a 8 6 and b 14 25 O a 8 6 and b 14 25

The approximate line of best fit for the given data points y 2x 2 is shown on the graph 54 3 N NWAG 4 3 2 9 4 5 2 3 4 5 X Which is the residual value when x 2 0 2 O 1 0 1 02

The time in seconds that it takes a pendulum to swing back and forth is modeled by the equation below 55 32 where is the length of the pendulum in feet f 2x What is the approximate length of a pendulum that takes 2 4 seconds to swing back and forth O 1 72 ft O 3 05 ft 38 40 ft 46 08 ft

1 7 x 2 7 2y 3 7 and C is the line from 5 0 to 7 1 7 dr Use the Fundamental Theorem of Line Integrals to calculate X 7 dr exactly

13 Solve the rational equation 202 2 Don t forget that the easiest way to solve this problem is to cross multiply over the equal sign Do not multiply out the factors Instead look for factors that can cancel Mark all answers that apply 0 1 1 0 2 0 14

1 point Identify the function f x if j x x e x

1 Simplify the rational expression If it is already in simplest form write simplest form a 0 2 Simplified 16 7a 14 3

9 Find the distance t between a fingerprint and a magnifying glass if you can see a fingerprint clearly when your eye is 5 cm away from the glass and the focal length of the glass is 35 cm Hint the formula for this 12 scenario is in your lesson content t cm

8at B Given the formula F solve for a 9 Make sure to use appropriate parenthesis and notice which letters are capital letters and which are lowercase letters a

4 Given the formula A u5 solve for u Ou 107 9 A Ou 104 Ou 97 10 A 5 94

1 For f x 5x 2 and g x x 2 find fog x and gof x Then determine whether fog x gof x What is fog x fog x What is gof x gof x Does fog x gof x O No O Yes

Graph the piecewise defined function f x 3 2x 2x 2x O A if x 4 if 4 x 5 if x 5 Choose the correct graph OB O C D

Determine if the function is odd even or neither f x x5 3x 7 Choose the correct answer below O even O odd

11 How are rational expressions like rational numbers How are they different Write your answer in the space provide

14 Solve for x in the equation by graphing 28 Find the solution algebraically to verify your graph Answer x

9 The following are the initial pressure and volume for a gas in a flexible container P 6 9 atmospheres V 6 5 liters If the volume is changed to 4 8 liters what will be the change to the pressure It would change to about Round your answer to the nearest hundredth atmospheres

12 Solve the equation If the equation has no real solution write no solution 6 C

What is the y value of the vertex of the function f x x 8 x 14

Find the exact value of the vertex focus equation of the directrix and points on the focal width of the following equation x 1 12 y 3 Format of answers For the vertex and focus give answers as ordered pairs with parentheses and no spaces between symbols ex 4 9 For equation of directrix give equation with no spaces between symbols ex t 4 For points on focal width if there is more than one answer put a comma between the ordered pairs htwoor symbols Or 15 16 7 orl 6 71 11 51 with

Solve for 0 where n 2 0 2 sin 0 n 6 sin 0 4 Answer with decimal approximation to nearest hundredth

Find two real numbers between 2 and 2 that determine each of the points on the unit circle given to the right C X The two real numbers that determine M are Simplify your answer Type exact answers using as needed Use integers or fractions for any numbers in the expression Use a comm separate answers

question below Part a Circle the quadratic function that has a graph that opens downward f x x 3x 4 Part b Circle the quadratic function that has a y intercept at 0 9 f x x 6x 9 3 0 f x x 4x 10 Part c Circle the coordinate pair that represents the vertex of function f 2 1 f x x 9x 18 1 0

4 Translating and Solving The length of a new rectangular playing field is 4 yards longer than triple the width If the perimeter of the rectangular playing field is 248 yards what are its dimensions Label your answers Label the two missing sides Setup an equation and solve Width x Width X Width Length

finding missing coordin X Complete the table of ordered pairs for the given linear equation Then plot the ordered pair solutions x 4y y Part 1 of 4 7

Given the vector x x x1 0o 1 6 3 find

The description of the discriminant of a quadratic equation is given in the left column Match the types of solutions from the right column to the appropriate discriminant Drag and drop options on the right hand side and submit For keyboard navigation SHOW MORE Positive and perfect square Positive and not a perfect square Zero III Two non real complex solutions Two rational solutions One repeating rational solution

What is the mean of the normal distribution shown below 000 02 2 0

Find the product x 9 x 7 x 9 x 7

Find the real numbers x and y such that det A 0 if 1 A X

6 Consider the graph of the function f given below Fill the table to the right AJI 1 2 Sign 4 correct matches 5pts 5 correct matches 9 pts 6 correct matches 12 5pts 3

graph below maps AA 13 15 20 21 23 O vertical reflection in the x axis horizontal stretch by a factor of 2 vertical stretch by a factor of 5 horizontal compression by a factor of O vertical compression by a factor of horizontal stretch by a factor of vertical stretch by a factor of 5 horizontal stretch by a factor of 2

b The graph of y h x is shown Draw the graph of y 2h x 1 8 6 T 2 a 7 21 2 6 8 X X 5

5 4 For the equation y 8 2 complete the table and plot the ordered pairs on the graph X Y 4 to 2 3 y 72 64 56 48 40 32 24 16 8 1Q 8 2 14 2 1 0 2 3

3 Let a and b 3 a 5 marks Find a vector of magnitude a b in the opposite direction of a x b b 4 marks Determine if the plane given by 25y 55x 15x20 contains the vectors a and b and if it contains the point P 1 2 1

org docs 256509 fromType Contextual Teacher Resource fromId 206870296 o C between the year and the computer s value computer s value computer s value year year b d computer s value computer s value year year 1 5

In the figure shown 28XD is a night angle and ZAXE is a ght angle It BXC 56 and 8XE 140 determine the measures of ZAXD LCD and 20XE with nga protract Note that the figure is not drawn to scale The measure of ZAXE is Simplify your answer The measure of ZCXD i Simplify your arewer The measure of ZOXE Simso