7 Match each polynomial with its end behavior 32 7x 8 2 3x

LEM and b have a 0 68 angle between them The magnitude length of a is 142 and the magnitude of bis 207 We can write this as la 142 and 6 207 See Diagrams gmtobuz a Find la bl This means what is the magnitude of the sum of the two vectors Hint Law of Cosines 3 marks 68 b doing two tony 30 igen auli no id TB b a b b What angle does a b make with a Shown as on the diagram 3 marks Note this angle is NOT half of 68 To find this you will need to use the Law of Cosines or Law of Sines

You may need to use the appropriate appendix table or technology to answer this question A simple random sample with n 58 provided a sample mean of 24 5 and a sample standard deviation of 4 4 Round your answers to one decimal place a Develop a 90 confidence interval for the population mean to b Develop a 95 confidence interval for the population mean to c Develop a 99 confidence interval for the population mean to d What happens to the margin of error and the confidence interval as the confidence level is increased As the confidence level increases there is a smaller margin of error and a wider confidence interval As the confidence level increases there is a larger margin of error and a wider confidence interval As the confidence level increases there is a smaller margin of error and a more narrow confidence interval As the confidence level increases there is a larger margin of error and a more narrow confidence interval

Macmillan Learning During a routine check of the fluoride content of Gotham City s water supply the given results were obtained from replicate analyses of a single sample 0 709 mg L 0 691 mg L 0 713 mg L 0 687 mg L and 0 717 mg L Determine the mean and 90 confidence interval for the average fluoride concentration in this sample mean 90 confidence interval mg L mg L

Let T R4 R3 be the linear transformation represented by T x Ax where 1 210 A 0 1 2 4 0 001 a Find the dimension of the domain 3 b Find the dimension of the range c Find the dimension of the kernel d Is 7 one to one Explain OT is one to one since the ker 7 0 OT is one to one since the ker 7 0 OT is not one to one since the rank 7 0 OT is not one to one since the ker 7 0 OT is not one to one since the ker 7 0 e Is T onto Explain OT is onto since the rank 7 is equal to the dimension of the domain OT is not onto since the rank 7 is not equal to the dimension of the domain OT is not onto since the rank 7 is equal to the dimension of the co domain OT is not onto since the rank 7 is not equal to the dimension of the co domain OT is onto since the rank 7 is equal to the dimension of the co domain f Is 7 an isomorphism Explain Select all that apply OT is not an isomorphism since it is not onto OT is not an isomorphism since it is not one to one

2 i Simplify each expression to a single term tn r in Pascal s triangle C 2 ii Find the numerical value of this term K U 2 a t32 20 32 21 b t40 12 139 12

Multiply Write your answer in simplest form 92 9 4935 1

Divide Write your answer in simplest form 3j 4 3j 2 9j 18j 8

9 a For the equation below 2x 12x 18 0 Part A Find the discriminant of the quadratic equation Part B How many real solutions does the quadratic equation have A Two Real Solutions B One Real Solution C No Real Solutions

Which of the following equations would form a parabola when graphed there may be more than one A 2x 7 10 By 3x x 5 1 Cy 2x3 5x 2 y 3x 4x 19 Dy

Consider the equation given below and solve for x by using quadratic formula 5x2 4x 2 0 H