Quadratic equations Questions and Answers

he following table shows the rate R of vehicular involvement in traffic accidents per 100 000 000 vehicle miles as a function of vehicular speed s in miles per hour for commercial vehicles driving at night on urban stree Accident rate R 1700 750 Speed s 20 25 30 200 35 400 40 700 45 1350 a Use regression to find a quadratic model for the data Round the regression parameters to two decimal places R b Calculate R 70 Round your answer to two decimal places R 70 Explain what your answer means in practical terms Commercial vehicles driving at night on urban streets at miles per hour have traffic accidents at a rate of per 100 000 000 vehicle miles

The volume of the triangular pyramid below is 132 units Find the value of a 12 A

Use the graph of f x to evaluate the following 5 H f x The average rate of change of f from a 2 to z 5 is Give your answer as an integer or reduced fraction 1 2 3 4 5 x

A chemist is using 383 milliliters of a solution of acid and water If 14 4 of the solution is acid how many milliliters of acid are there Round your answer to the nearest tenth

If In a 2 ln b 3 and ln c 5 evaluate the following a In c 1 a 6 c3 b In b c a In a b 2 In be 4 d In c In a 2

Degree 5 zeros 1 3 i form a polynomial f x with real coefficients having the given degree and zeros

Let the supply and demand equations for a certain commodity be the following supply p 0 1q 9 8 demand p 121 0 1q a Find the equilibrium demand b Find the equilibrium price in dollars a The equilibrium demand is units

Determine the equation for the parabola from its graph x 5 6 Vertex 5 6 X Foc 5 WebAssign Plot 64 Axis of symmetry y X

b Plot points and sketch the graphs of f x 4 and g x log4x on the axes below 20 15 10

Group Discussion 8 Ch 7 Name 2 Analyze x 1 2 1 3 Solve 2x 5y 39 3x y 1

Triangle ABC is similar to triangle DEF The following ratios of corresponding sides are equal 4 12 4x 2 6 18 4x 9 X Type an integer or a simplified fraction A D 4 6 B 12 4x 2 E 4x 9 18 ri

1 Find the exact area between the graphs of f x e 1 and g x 3x 4 between x and x 2 O 9 1 2 0 0 units e e 1 b 6 6 2 units 9 c 6 6 2 units 1 e d 0 0 2 units e e

Find the total area between the x axis and the x 5 a 133 6 b 8 units c 49 6 units units d 113 6 units curve f x 1 1x 2 2 between x 2 and

Sienna has 80 yards of fencing to enclose a rectangular area Find the dimensions of the rectangle that maximize the enclosed area What is the maximum area A rectangle that maximizes the enclosed area has a length of yards and a width of yards

ind the vertex Sketch the inction y 2x 2 16x 33

A city has a population of 270 000 people Suppose that each year the population grows by 5 What will the population be after 10 years Use the calculator provided and round your answer to the nearest whole number people

7 PO 8 x P x 3 10 8 Y 16 T O IS 12 R 19 2 18

f x A Which point could be described as an RELATIVE MINIMUM of function f x B 542 Point A Point B Point C Point D C D Lou L05 CHE 5 etern mon

Given f x 8 3x and g x x 3 find f g x f of g of x which can also be expressed as fog x 011 3x 067 48x 9x Ox 3x 11 O 1 3x None of these

2 20 1 0 0 2 1 4 2 0 a Determine the polynomial function of least degree whose graph passes through the given points p x b Sketch the graph of the polynomial function showing the given points y 60 20 40 4 3 2 1 I J 20 20 1 2 3 4 40 20 C 2 y 4 3 2 1 20 X 2 TV 20 40 X 60 y 2 1 60 40 20 y 20 60 2 1 2 3 4 X X

Consider the polynomial function p z 3x 4x Use polynomial long division to perform the indicated division and rewrite the polynomial in the form p x d x q x r r where d is the divisor q is the quotient and r is the remainder 3x 4x 3x 3 p z Preview

Find how many quarts of 4 butterfat milk and 1 butterfat milk should be mixed to yield 60 quarts of 2 butterfat milk The mixture should contain quarts of the 4 butterfat milk The mixture should contain quarts of the 1 butterfat milk

et U 1 2 3 4 5 6 7 8 9 10 A 3 5 8 10 and B 2 4 5 6 9 Use De Morgan s Law to find An B Answer 2 Points A B ABY A B Ke Keyboard She

Which function graphed below has a Domain that could be described as a Discrete variable O O A 3 ir 1 2 AMA

A normal conversation is about 107 times the threshold of hearing Compute the intensity level in decibels for a norma conversation

A concert hall has 12 000 seats and two categories of ticket prices 35 and 45 Assume that all seats in each category can be Concert 2 1 12 000 12 000 490 000 447 000 Tickets sold Return required Concert 1 a How many tickets of each category should be sold to bring in each of the returns indicated in the table 35 Tickets 45 Tickets Concert 2 3 12 000 466 000 Concert 3 b Is it possible to bring in a return of 346 000 when all the seats are sold A No 346 000 is greater than the highest possible return B Yes 346 000 is within the range of possible returns C No 346 000 is less than the smallest possible return D None of the above Is it possible to bring in a return of 548 000 when all the seats are sold A No 548 000 is greater than the highest possible return

Which function does the graph show 5 4 3 2 1 30 8 M 1 2 3 4 5 v x 3 1 Oxx 1 v x 3 2 Oxx 2 v x 1 2 3 4 5

If the parent function is f x mx b what is the value of the parameter m for the line passing through the points 2 7 and 4 3 7 calen Question 2 20 points The graph of the linear function x is shown below Ay 5 f x 2x 2 x x 4 f x 2x 3 2 1 5 4 3 2 1 2 3 4 5 d x 1 2 3 4 6 Which function below is PARALLEL to the functions above

Given W x dx 12 find the following S 13f x 91dx O a 21 b 45 c 45 d 117

rite 3x 1 dx as the limit of a Riemann sum and evaluate O 3 O 2 a b c d lim 1 n k 1 n 75k lim 11 n k 1 lim nk 1 lim 5 2 75K 9 60k n n 11 60k n 120 30 754 33 11 75K 5 18 n

Use summation formulas to evaluate the sum Z 2k 5k 1 O a 25 b 2k 5k 1 5175 2k 5k 1 9400 c 25 2k 5k 1 5199 d 26 2k 5k 1 9424

5x 1 x 2 x 2 Evaluate lim O a 0 O b Does not exist c by graphing O C

Solve the triangle if possible C 58 40 c 30 6 b 23 4

assume that an object tossed vertically upward reaches a height of 148t 16t 2 What is the maximum height

All sides of a square are increasing at a rate of 4 centimeters per second How fast is the area changing when each side is 10 centimeters a d b dA c da d dA 100 400 1 cm cm cm

Complete the problems Find the total paid 1 You own 150 shares on TimCo stock which you purchased at 36 21 per share You paid a commission of 29 95 2 You own 400 shares of Unvar stock which you purchased at 58 80 per share You paid a commission of 19 95

cy got a prepaid debit card with 15 on it For her first purchase with the card she bought some bulk ribbon at a craft store The price of the ribbon wa nts per yard If after that purchase there was 11 92 left on the card how many yards of ribbon did Lucy buy

Ann received a 80 gift card for a coffee store She used it in buying some coffee that cost 8 74 per pound After buying the coffee she had 36 30 left on her card How many pounds of coffee did she buy

Match the fraction to its reduced form a b Falsult c 1 d 1 3 1 2 4 4 5 2 8 10 3 3 9 4 20

Ollie Gibson is considering investing 10 000 in a certificate of deposit for 4 years at an annual interest rate of 4 compounded daily or 4 compounded monthly Based on the annual percentage yield which one is the better investment

Simplity min 3 10 13 a 7 18 O b O c O d 6 13 50 39 1 8

Value 1 Simplify 3 3 4 O 4 a S 9 6 15 23 20 d 7 18 Ob b C

Complete the problems 1 Jacob Hernandez invests 25 000 in a CD for 5 years The CD earns interest at an annual rate of 5 5 compounded quarterly What is the annual percentage yield to the nearest hundredth of a percent

Manuela has a piece of red ribbon 7 1 2 feet long She cut the ribbon to have one piece 1 feet long How long is the piece of ribbon that is left O a 5 feet We can subtract the two whole numbers to give us 6 feet When we subtract the fractions from each other that gives us 1 2 When we take 1 2 from 6 we get the amount of ribbon left O b 6 feet We can subtract the two whole numbers to give us 6 feet When we subtract the fractions from each other that gives us We combine the two numbers and we get the amount of ribbon left O c 6 feet We can get the amount of ribbon left by just subtracting the two whole numbers in the problem O d 5 feet We can subtract the two whole numbers to give us 6 feet When we subtract the fractions from each other that gives us When we take from 6 we get the amount of ribbon left

Consider the following equation that describes the perimeter of a rectangle where P perimeter length and w width P 21 2w Rewrite the formula so that is has been solved for the variable 01 P 24 01 P 2 Ol P 01 P 1 P w P w

2 Will 3 be rational or irrational Why I O a The answer would be rational An irrational number plus an irrational number is always rational O b The answer would be irrational A rational number plus arational number is always irrational O c The answer would be rational A rational number plus an irrational number is always rational Od The answer would be irrational A rational number plus an irrational number is always irrational

Simplify 25 3 6 O a O b 3 O c 3 d 2 alta w w w 3

Solve each addition or subtraction problem with its corresponding answer a 10 b 6 C d 1 e S 1 3 8 11 1 2 6 3 1 4 10 5 T 2 11 11 9 11 N

5 If the numbers 2 5 1 6 3 and 0 5 were graphed on a number line which would appear farthest to the left 1 6 2 8 10

b A bait and tackle shop has fishing lures in the following weights Write the weights of the lures in order from least to greatest 5 Boz O O 8 18 1 4 1935 418 8 8 3 For OZ 5831 818 84 1385 48 18 8 OZ 03158 848 18 OZ