Sequences & Series Questions and Answers

Determine the quadratic function f whose graph is given The vertex is 4 3 and the other given point is 2 5 2 5 4 3

A loan of 6950 was made on April 10 for 214 days at 9 Find the present value of the loan on July 19 if the time value of money is 8 The present value of the loan on July 19 is Round to the nearest cent as needed

a b ve c ger el say lar i in C a b c a b a b c 8 a b 8 0 oldu una g re a b c arp m ka t r A 48 B 50 C 52 D 56 E 6C

20 For the sinusoidal function given below determine the following A 5 Scale I unit horizontally is 60 a period b amplitude c vertical displacement 360 360 AAA AAA 8 21 If the above function is a cosine function determine a possible equation in the form y a cos b x c A 3

Use the properties of inequalities to solve the inequality Write the solution set using set builder notation 3 x 6 5 2x 8 x1 Graph the solution set Use the tools to enter your answer 10 0 0 2 6 8 10

6 5 20pt Identify and graph the conic r 2 3 sin 0 and write a polar equation for the directrix L corresponding to the focus at the pole Find the eccentricity e locate the vertice

Each of the following pairs of polygons are similar Find the missing side in each 1 3 5 00 10 10 14 12 24 15 2 6 12 15 A 54 36 35

What is the equation for the horizontal asymptote of the graph of the function shown 1 I 1 I y 8 8 4 0 4 8 4 8 18

X 3 2 1 0 y 10 711 4 712 y abx Oy ax bx c 1 What is the general form of the equation Kareem can use to represent the data O y mx b WF where x 0 Save and Exit

ind a vector g so that if F f co co C1 C2 C3 then F f g co 2c1 c 2c3

Write your answers in scientific notation Each day we purchase 54 000 000 loaves of bread How many loaves of bread are purchased in one year If there are 281 million people in the country how many loaves of bread are purchased per person in one year How many loaves of bread are purchased in one year Use scientific notation Round to the nearest thousandth as needed Use the multiplication symbol in the math palette as needed How many loaves of bread are purchased per person in one year Use scientific notation Round to the nearest thousandth as needed Use the multiplication symbol in the math palette as needed

H 2x 3y 12 4x 3y 6 2x 3y 12 4x 3y 6 2x 3y 12 4x 3y 6 2x 3y 12 X

19 Since birth Hadley has had a savings account that started at 10000 and has been growing at a rate of 1 per year The amount of money in the account can be modeled by the equation y P 1 01 where y is the value of the account x is the number of years and P was the original deposit amount Is it possible for Hadley s account to grow to 17285 25 within Hadley s lifetime Hint try to figure out the bounds of the parameter O no O yes O None of these is correct

15 Rewrite using exponents Do not evaluate 5x5x5x5 x 5 x 12 x 12 x 12 x 12 x 10 x 10 O 5 x 12 x 10 5 4 2 O 5512410 O 54125106 O 5 x 12 x 10 5 4 2

10 Decide if there is a positive negative or no correlation for the situation The amount of homework assignments you turn in and the grade you have in a class O negative correlation O no correlation O positive correlation

2 The American National Standards Institute specifications state that t maximum slope of a wheelchair ramp should be one twelfth The new ramp measures 5 feet high at its highest point and stretches 50 feet horizontally Will this ramp pass specifications O yes Ono 50 ft 5 ft

If a student stays in his hometown he can go to an in state college at a reduced tuition of 8 800 per year and pay 900 per month in rent Or he can leave home go to an out of state college with a 10 000 scholarship per year pay 19 500 per year in tuition and pay 450 per month to live in a dormitory He will pay 1500 per year to travel back and forth from the out of state college Assuming all other factors are equal which is the less expensive choice on an annual 12 month basis The yearly expense of the in state college is an annual basis the less expensive choice is the Simplify your answers and the yearly expense of the out of state college is Thus on college

Solve the system of equations by the addition method 3x 2y 6 9x 6y 0 Select the correct choice below and if necessary fill in the answer

Find the slope of the line containing the pair of points 10 11 and 12 10 Select the correct choice below and if necessary fill in the answer box to complete choice OA The slope is OB The slope is undefined Simplify your answer Type an integer or a fraction

The tables give some selected ordered pairs for the functions f and g X 5 8 12 f x 95 7 Find fog 13 4 13 10 20 g x 5 12 8 21 X

Let f x x2 6 and g x 2 x Perform the composition or operation indicated G 6 6 1 6 F

A turning point is a point on a graph where the function changes from increasing to decreasing or from decreasing to increasing The maximum number of turning points that a polynomial function can have is one less than the degree Note that if the degree is even then the end behavior has both ends going toward positive infinity or both ends going toward negative infinity which means that the function must have at least one turning point For a polynomial with odd degree the ends go in opposite directions so it doesn t have to have any turning points at all Question What is the maximum number of turning points that 325 4

17 1 Simplify the expression 9 O O O C 9x 36x 9x 36x 17 9x 53 2 4 1532 9x 53 9x 36m 17 153r

Find the values of the variables H 2 3 x m 4 n 4 5 0 OA m 6 n 7 x 5 OB m 6 n 7 x 5 OC m 7 n 6 x 0 D m 2 n 3 x 5

1 Scientists studied the decay of a radioactive mass of the element reduces by a factor of after each half life as shown in the table 1 Radioactive Decay Number of half lives t 0 1 2 Select one O O Which equation represents the relationship shown in the table C n 20 m n 20 m m 20t Remaining Mass in Grams m m 20t 20 10 5

Find the IQR for class B 68 69 70 71 7 Class B Class A OA 16 OB 14 OC 7 D 19 80 81 82 83 84 85 86 87 2 93 94 95

4 Simplify 73 63 0 17 12 O 70 O Oo 7 3 9 4y 36 7 y 9 this equation is already in simplest for

8 Find the focal length f of a magnifying glass if you can see a bee clearly when your eye is 9 cm away from the glass and the glass is 4 cm away from the bee Hint the formula for this scenario is in your lesson content f cm

12 Given the formula P 21 2w solve this formula for 1 Make sure to use appropriate parenthesis 1

14 Given the formula A rab solve for b Type pi or use the equation editor to enter the r symbol Don t type r in any other way Hint click the button next to the answer box to make sure your answer is formatted correctly Use parentheses if needed b

13 Given the formula V Tr solve for r Or Or 5 7 Or 5 Or 2V

6 Given the formula rxtxp i solve for the variable p Hint click the button next to the answer box to make sure your answer is formatted correctly Use parentheses if needed p

11 Given the formula A Tab solve for a O O Anb 0

10 Given the formula PV nRT solve for the variable T Hint click the button next to the answer box to make sur your answer is formatted correctly Use parentheses if needed T x

1 Given the formula V Ah solve for A Hint click the pen button next to the answer box to make sure your answer is formatted correctly Use parentheses if needed A

2 Given the formula V Ah solve for h O 3VA O OVA

Suppose a floating point system is characterized by 2 p 4 L U 3 4 What is the OFL and UFL

Select the graph of one complete period of the function Identify the x intercept and evaluate the function for X values midway between the x intercept and asymptotes Express all your answers as ordered pairs Part 0 6 Part 1 of 6 a y 2 ot x

In the braces below list all subsets of the set b a Write each subset in your list in roster form If there is more than one subset in your list separate them with commas If you need the e use the symbol b a a b 10

For which value of e is sin e 1 1 0 T 3T 0 1 0 1 2 8 0 1 0

Evaluate 10P4 and Co 10 4 0 C 11

Graph f x x x 6 3 x Proper zeroes 1 End behaviours 1 Shape of the graph 2 9 6 3 10 8 6 4 2 2 4 6 8 10 3 6 9

prove the given vector is linearly independent

12 The coordinates of a function h x are shown in the table X 1 0 HEL daude THE Inl la 2 10 4 h x 20 4 3 12 6 1999 7 10 6 20 which graph represents a function with the same axis of synimetry as b x but with a mimum instead of a maximum y

2 Find the roots of the equation ax a a x x

3 Given ZDCE A B 12 radians and CE 4 5 cm determine the size of 0 and x 4 marks 4 cm 8 cm C D X E F 4 5 cm

a Knowing that the coordinates of A B and C are the following A 2 8 5 B 0 10 6 C 4 5 5 Using the orthogonal projection determine the length of AD The sides BD and AC are perpendicular b If the length of segment CE is 2 what is the distance between point D from point E The sides DE and CE are perpendicular C Determine the angle formed by the sides AB and AC tant donn la figure suivante B D A

Write an exponential function for the graph 46 4 2 20 16 124 8 4 OA y 0 5 2 OB y 2 0 5 OC y 2 5 OD y 2 0 5 y 2 6 x W

170 Use the grid to estimate the area of the region bounded by the curve shown in the figure th horizontal axis and the vertical lines x 5 and x 5 square units Answer

The total capacitance of two capacitors connected in series can be found using the 1 1 1 equation 1 where the capacitance is measured in farads CT C C What is the total capacitance when a 2 farad capacitor and an 8 farad capacitor are put in series Select one O a 1 5 farads O b more than 1 5 farads O c less than 1 5 farads