Quadratic equations Questions and Answers

11 Sketch a graph of the system of inequalities on a sheet of paper y x 6 y 2x 3 Determine if the following point satisfies the system 10 0 O yes O no

3 The area on the graph shaded for the inequality 3x 4y 3 can be described as being shaded above below a solid dashed line

Determine if the following graph represents the inequal y 2x 4 y

Determine if the following graph represents the inequalit x 2y 8 y

5y x 10 Identify the statements which represent the inequalit There may be more than one correct answer select al The graph has a dotted line The graph has a solid line The correct inequality begins with y The correct inequality begins with y None of these statements are true 14 Solve the systems of linear equations using a graphing 10x 2y 78 y 5x 39 O 9 2 O 2 8

4 Solve the systems of linear equations using a graphing method Write none in both blanks if there is no single solution 10x 2y 74 y 5x 37 X xy x 5 Solve the systems of linear equations using a graphi y 3x 13 y 4x 8 O 4 4 O 4 3 O 3 4

7 Solve the inequality 10x9y 54 10 Oy 6 0 9 X Oy 6 10 X Oy 6 10 x Oy 6 10 x 9 Oy 6 10 x O y 6 10 x

Determine whether the inequality shown below m the graph y 4 O yes O no

15 Solve the systems of linear equations using a graphing method Write none in both blanks if there is no single solution y 5x 27 y 7x 33 x y

Solve the system of equations using addition and or subtraction with multiplication method Select the best answer with the format x y 9x 20 y 4x 3y 2 6 6 O 2 2 O 10 11 O 4 4 O no solution

A school district wants to know how many students in the district have peanut allergies Use a 95 confidence interval to estimate the minimum number of students that need to be surveyed in order to yield results that are normally distributed with a standard deviation of 9 and a margin of error of 0 8 students with peanut allergies Recall the following z scores for each level of confidence 90 1 645 95 1 960 and 99 2 575

What is the measure in degrees of the angle A 6 Select one O a 45 O b 60 O c 120 O d 30

In the sector formed by angle MOP with O at the center of the circle the central angle measures 1 radian and the radius of the sector measures 8 ft What is the perimeter of the entire sector Hint don t forget to include the radii as a part of the entire sector Select one O a 114 ft O b 32 ft Oc 24 ft O d 30 ft

Choose the equation of the parabola with the vertex 7 3 and focus 2 3 Select one a x 7 x 3 O b x 7 y 3 c x 7 d x 7 v 3 v 3

State the minimum value of y x 3 and the corresponding value of x Select one O a minimum value 0 when x 3 b minimum value 3 when x 0 O c minimum value 12 when x 3 O d minimum value 0 when x 0

Match the following literal equations to their inverses y x Choose y x x y mx b m ax by c y y 1 m x x 1

Select one O a O b OC O d 10 10 10 10 5 10 10 10 10 10 et 10 5 5 5 10 x 10 x 10 x 10 x

Write the equation in standard form of the circle below Ty 4 Select one N 4 2 2 2 a x 1 y 3 4 O b x 1 y 3 2 x 1 y 3 4 Oc Od x 1 y 3 2 4

Which graph is not a function Select one O a O b O d 3 A 3 3 3 3 X 3 X 3

Choose the graph x 2 y 1 49 Select one a Ob OC O d 50 40 40 50 20 20 50 40 20 o 20 40 40 20 0 20 40 20 20 50 40 40

Find the center and radius of the circle with the equation x 3 2 y 6 81 Select one O a 3 6 81 O b 3 6 9 Oc 6 3 9 O d 3 6 81

Which of the following graphs represents f x 3 Select one O a O b OC O d 10 10 10 10 hol 0 10 20 10 0 10 20 10 0 10 20 10 6 10 10 10 10

Which one is an exponential function Select one O a y x O b y 3 Oc y 2x 8 O d y 4z

11 Find a curve of form y a bx2 that best fits the data points 0 3 1 0 5 1 5 2 5 and 2 7 What is the least square error

5 Find the volume of the parallelepiped made by w 2 1 2 u 1 2 4 v 1 2 3 and

3 Find the area of the triangle determined by points A 1 2 0 B 2 4 3 and C 2 0 3

3 Value City sells sirloin steaks at 9 99 per pound while Cold Cutz has them for sale at 20 99 per kg Which sale is better

Question 6 Points 2 The side length of the cube is s Find the domain of the volume of the cube Set of whole numbers Set of integers Set of positive rational number All of the choices

Question 5 Points 2 Johnny the botanist treated a 2 cm plant with a special growth fertilizer With this fertilizer the plant grew at a rate modeled by the function h t 5 3 t 2 where h t represents the height of the plant in cm after t days What will be the height of the plant after 21 days 30 cm 35 cm O 37 cm

Write the polynomial in factored form P x Need Help Read It 2 Points NOTES DETAILS Watch It SPRECALC7 3 4 040 ASK YOUR TEACHER PRACTICE ANOTHER Find all rational zeros of the polynomial Enter your answers as a comma separated list Enter all answers including repetitions P x 6x4 19x 22x 7x 4

pair 1 pair 3 T L pair 2 Which pairs of polygons are congruent A pairs 1 2 and 3 B pairs 1 2 3 and 4 C pairs 2 and D pairs 1 and 3 pair 4

4 Coach Jacobs wants to celebrate the final win of the school s volleyball season with a trip to the local fast food place The team buys 14 delicious burgers and 17 orders of savory onion rings for 72 05 A few of the players are still hungry so the coach buys 6 more burgers and 7 more orders of onion rings for 30 35 If you don t consider tax what is the price of a burger and the price of an order of onion rings The price of a burger is The price of an order of onion rings is

8 Solve the system of equations using addition and or subtraction with multiplication method Select the best answer with the format x y 103 7 6y 58 y 7x O 15 16 O 7 9 O 6 11 O 12 4 O no solution infir te solutions

3 Solve the system of equations using addition and or subtraction with multiplication method Select the best answer with the format x y 3x 27 3y 3x 8y 67 O 9 0 O 5 4 O 3 5 O 1 8 O no solution

10 Solve the system of equations using addition and or subtraction with multiplication method Select the best answer with the format x y 5x y 29 6x 3y 51 O 4 9 O 6 11 O 12 2 O 1 15 Ono solution O infinite solutions

4 Using addition and or subtraction with multiplication solve the following for x and y 2 5y 4 3x y 12 O 2 18 O 3 3 O 6 2 O 4 0 O no solution

For the quadratic function f x x 4x 5 answer parts a through f d Find the domain and the range of the quadratic function The domain off is Type your answer in interval notation The range of fis Type your answer in interval notation e Determine where the quadratic function is increasing and where it is decreasing The function is increasing on the interval Type your answer in interval notation The function is decreasing on the interval Type your answer in interval notation f Determine where f x 0 and where f x 0 Select the correct choice below and fill in the answer box es within your choice Type your answer in interval notation Use integers or fractions for any numbers in the expression O A f x 0 on OB f x 0 on OC f x 0 on 1 1 and f x is never positive and f x 0 on and f x is never negative

1 The larger of two numbers is 18 more than the smaller When added together the sum of the two numbers is 5 less than four times the smaller Write a system of equations for the problem User and y for the system of equations Write your answer in the space provided Font Family AAT A

a Find the vertex and the axis of symmetry of the quadratic function and determine whether the graph is concave up or concave down The vertex is Type an ordered pair using integers or fractions What is the equation of the axis of symmetry The axis of symmetry is Use integers or fractions for any numbers in tho

Given the function 1 f x y 36 25x 25y a Find the function s domain b Find the function s range c Describe the function s level curves d Find the boundary of the function s domain e Determine if the domain is an open region a closed region both or neither f Decide if the domain is bounded or unbounded answer the following questions a Choose the correct domain below OA OB 36 The set of all points in the xy plane that satisfy x y s 25 All points in the xy plane except those that lie on the circle x 36 25 C y 36 25 2 2 The set of all points in the xy plane that satisfy x y D All points in the xy plane b The range of the function f x y is Type your answer in interval notation Use a comma to separate answers as needed

a If cos 0 7 25 what are the other primary trig ratios Include a sketch of the triangle with your solution 3 marks C2 b Solve this triangle 3 marks C2

5 Solve the systems of linear equations using the substitution method Express your answers as fractions Write none in both blanks if there is no solution y 2x 6 30x 30y 99 y

5 Use substitution to solve the system Determine how many solutions there are w 3 0 25w z 2 number of solutions

1 Solve the systems of linear equations using the substitution method Write none in both blanks if there is no solution x y 3 4y x 6 C y

A pediatrician records the age x in yr and average height y in inches for girls between the ages of 2 and 10 Height in 50 40 y 30 20 10 0 Part 0 4 Part 1 of 4 Height of Girls vs Age 3 38 Age yr 7 48 10 a Use the points 3 38 and 7 48 to write a linear model for these data

Situs me with answer clue and fary it allows Date to contritis your univive O A The local maximum of y f x is f 1 Type integers or simplified fractions OB The local maxima of y f x are f and f Use ascending order with respect to x Type integers or simplified fractions OC There is no local maximum for y f x Select the correct answer below and if necessary fill in the answer boxes to complete your choice O A The local minimum of y f x is f Type integers or simplified fractions EFE OB The local minima of y f x are e f and f Use ascending order with respect to x Type integers or simplified fractions for y f x 1 2 3 0 0

Caroline adopted a puppy named Dodger from an animal shelter in Chicago She recorded Dodger s weight during the first two months The data in the graph show Dodger s weight in lb x days after adoption Weight lb Part 0 5 Part 1 of 5 Weight vs Days After Adoption 0 11 Number of Days 40 22 a Use the points 0 11 and 40 22 to write a linear model for these data

8 00 for adults On the first day 2350 people enter the concert and 12400 is collected How many children attended answer children How many adults attended answer 04 adults

6a 6b 6 a 2 b 2 O a 1 b 2 O a 2 b 1 2 O a 1 2 6 1 BU Font Family 1 UN III

Margo borrows 1300 agreeing to pay it back with 3 annual interest after 15 months How much interest will she pay Round your answer to the nearest cent if necessary S