Quadratic equations Questions and Answers

Value 2 Solve x 3 7 O a x 4 O b x 10 O c x 21 7 O d x 3

Match the like terms 3 a 2y 2 b 2 10x c 9 d 2 7yz 3 1 3 2 5y z 3 3 6yz 4 5 Ex 4

What are the terms of the following expressions Select all that apply 2x 5yz 6 mark all correct answers a 2 O b 5yz c 6 d x e 2x O f 5 g yz

Write the appropriate rotation formulas so that in a rotated system the equation has no x y term x 8xy y 7 0 The appropriate rotation formulas are x and y EXID

Solve the following equation in the interval 0 2 Note Give the answer as a multiple of Do not use decimal numbers The answer should be a fraction or an integer Note that is already included in the answer so you just have to enter the appropriate multiple E g if the answer is 2 you should enter 1 2 If there is more than one answer enter them separated by commas cos t to

The Pentagon in Washington D C is 921 feet long on each of the five exterior sides C 546 54 B A 921 ft What is the distance from a vertex to the center of the Pentagon That is what is the distance netween A and C2

or each pair of vectors u and v with angle 8 between them sketch the resultant 19 u 12 v 20 0 27 20 u8 v 12 0 20

If f c 0 then f has either a local maximum or a local minimum at z c O True False Save Answer Q2 2 1 Point If f and g are increasing on an interval I then fg is also increasing on the interval I O True False Save Answer Q2 3 1 Point TE f Band flolevists then f has an inflection point at e f e

1 Given that sin 0 where 13 31 where B determine the following by clearly showing your work 2 cos B I 12 pts a cos 0 B O b sin 0 3 tan 0

Find a unit vector u in the direction opposite of 3 8 6 u

The vectors u and v have the same direction a Find ul b Find v c Is u v Explain 10 5 10 Q

Vrite an equation of the form y A sin x C D where C is between and x whose graph is the given sine wave 765 y Simplify yo fractions for

Analyze the diagram below and complete the instructions that follow E 330 Find DE A 3 53 B 7 C 7 06 D 14 12 D 33 7 06 C

B Figure 1 Problem 7 1 13 In figure 1 the circle has the equation x 1 y with P 0 0 Q 1 0 and R a 0 where 0 a 1 and a 1 2 Find the coordinates of S where lines SA and SB are tangents to the c and A and B have a for their x coordinate

Assume that the following statements are true A If Curtis is drinking juice then it is breakfast time B If it is lunchtime then Trisha is drinking water and nothing else C If it is breakfast time then Sarah is drinking iced tea and nothing else D If it is dinnertime then Kira is drinking milk and nothing else E Curtis is drinking juice Using only the information given above determine if Sarah is drinking iced tea must be true may be true or is not true Explain your reasoning The statement must be true Choose the correct reasoning below and identify any statements in your choice using letters given in the problem statement and q r from statement O A Apply the law of syllogism with p q from statement Apply the law of detachment with p q from the result and p from statement and p from statement B Apply the law of detachment with p q from statement C No argument can be used to determine the truth of the the statement

pproximate the value of the definite integral using the Trapezoidal Rule and Simpson s Rule for the indicated value of n Round your answers to hree decimal places 4 1 6 x 7 a Trapezoidal Rule dx n 4 b Simpson s Rule X

Simplify the following expression completely If the expression does not represent a real number enter DNE 121

Simplify 2 22 Click on Yellow bar in Answer Box to use Math Quill for radicals Without Math Quill you may type sqrt 3 for 3 or root 5 11 for 11 Click PREVIEW button before submitting Do not use a calculator or round to a decimal Write the exact simplified form

Question 10 of 23 Step 1 of 2 Consider the following linear equation Answer 2 Points y 3x 6 Step 1 of 2 Determine the slope and the y intercept entered as an ordered pair of the equation above Reduce all fractions to lowest terms Slope 00 5 y intercept Keyboard

Question 1 of 23 Step 1 of 1 Find the equation in slope intercept form of the line with the given slope that passes through the point with the given coordinates slope 0 ordered pair 6 7 Answer 2 Points 00 Keyboard

Question 12 Divide the polynomial by the monomial denominator by writing the fraction as the sum or difference of fractions Simplify your answer if possible 9x48x 4 x3 Y Answer 2 Points of 16 Step 1 of 1 00 45 30 T PAD Keypad

Question 10 of 16 Step 1 of 1 Multiply the polynomial by the monomial using the distributive property and or the product rule of exponents 5x 6x y Answer 2 Points

bmit Assignment Quiz 4 1 4 4 00 56 38 35 Question 13 of 16 Step 1 of 1 Simplify the expression using the properties of exponents Expand any numerical portion of your answer and only include positive exponents Answer 2 Points Keypad Keyboard Shortcuts

bmit Assignment Quiz 4 1 4 4 00 58 39 Question 5 of 16 Step 1 of 1 Simplify the expression using the properties of exponents Expand any numerical portion of your answer and only include positive exponents 5 Answer 2 Points Keypad Keyboard Shortcut

bmit Assignment Quiz 4 1 4 4 Question 3 of 16 Step 1 of 1 Simplify the expression using the properties of exponents Expand any numerical portion of your answer and only include positive exponents Answer 2 Points 00 59 4 4 2 K Keyboard St

Find all complex zeros of the given polynomial function and write the polynomial in completely factored form f x 2x 11x 23x 14 Find the complex zeros of f Repeat any zeros if their multiplicity is greater than 1 Simplify your answer Use a comma to separate answers as needed Express complex numbers in terms of Use integers or fractions for any numbers in the expression Use the complex zeros to factor f Simplify your answer Type your answer in factored form Express complex numbers in terms of Use integers or fractions for any numbers in the expression

Write a recursive formula for the following arithmetic sequence 13 7 1 5

Systems of equations that have the same slope and same y intercept have Select Choice

Systems of equations that have the same slope and different intercepts have Select Choice

Use a vocabulary term from the module to complete the sentence A method used to solve systems of equations by solving an equation for one variable and replacing the resulting expression into the other equation s is called

Find the amplitude and midline Enter your answers in decimal form do not use fractions 5 4 sin y 5 Midline y i Amplitude IN IN

roblem 3 Find the amplitude period frequency and phase shift of the function whose graph is given below if the point a f a is 2 5 and the point b f b is 5 2 NU b f b a f a 1000 in If we call the period P what is the distance a and b in terms of P If we call the amplitude A what is the distance between f a and f b in terms of A

90x 3x 7 polynomial function If the function is a polynomial identify the degree the leading coefficient and the constant coefficient Is gix a polynomial function OYes O No Select the correct choice below and fill in any answer boxes within your choice OA The degree of the function is OB The function is not a polynomial Select the correct choice below and fill in any answer boxes within your choice OA The leading coefficient is OB The function is not a polynomial Select the correct choice below and fill in any answer boxes within your choice OA The constant coefficient is CO

Which of the following is equivalent to 3 x 5 63 7 15x 6

x y 75 The equation above relates the number of minutes x Maria spends running each day and the number of minutes y she spends biking each day In the equation what does the number 75 represent A The number of minutes spent running each day B The number of minutes spent biking each day C The total number of minutes spent running and biking each day D The number of minutes spent biking for each minute spent running

Consider the system of equations 3x 4y 2 2x y 5 Solve the system of equations by elimination

A medium pizza at Big Time Pizza costs 6 80 plus 0 90 for each topping The cost of a medium pizza at PizzaPizza is 7 30 plus 0 65 for each topping How many toppings need to be added to a medium pizza from each restaurant in order for the pizzas to cost the same topping s

Bonnie has 42 feet of fencing around her garden The garden is rectangular in shape and its length is twice the width minus 3 feet P 42 Equation 1 Write a system of equations using the variables and W for the length and width of the garden 4 W W W

on 16 Natalia bought 3 boxes of pencils and 9 reams of paper for 75 Ronnie bought 8 boxes of pencils and 5 reams of paper for 67 Set up and solve a system of equations by elimination to determine the cost of a box of pencils and a ream of paper box of pencils ream of paper

Part A has two parts First answer Part A Then answer Part B Consider the following system of equations 6x 6y 12 6x 5y 12 The arithmetic operation of Select Choice would be best used to solve the system of equations by elimination Part B What is the solution of this system of equations

Which of the following arithmetic operations would be best used to solve the system of equations by elimination 6x 2y 4 3x 2y 11 OA addition OB division OC subtraction OD multiplication

Suppose you are asked to solve the following system of equations by substitution y 2x 5 3x 2y 4 Which of the following statements are accurate regarding the situation Select all that apply A There is no solution of the system of equations B The solution of the system of equations is 2 1 C The solution of the system of equations is 2 1 D You can replace x with 2x 5 in the equation 3x 2y 4 E You can replace y with 2x 5 in the equation 3x 2y 4

When using the substitution method to solve this system of equations which of the following represents the first step x 2y 3 x 3y 4 OA x 3 2 3 4 O B x 3 2x 3 4 O c 2y 3 3y 4 OD 2x 3 3y 4

Which of the following is the solution of the system of equations y x 6 y 2x OA 6 12 OB 2 4 OC 2 4 OD 6 12

Evaluate the expression under the given conditions cos p cos 0 5 13 e in Quadrant IV tan p sqroot15 p in Quadrant II

Solve the exponential equation 8 8 12 4 x 0 Compute the exact answer Solve the logarithmic equation 2log3X logx X 4 2 Compute the exact answer Solove the logarithmic equation log x 90 3 log x Compute the exact answer

Ramona and Malika are walking along linear routes in their county On a map of their county Ramona s route passes through the coordinates 2 1 and 0 2 Malika s route passes through the coordinates 0 3 and 2 0 Do the friends pass through a common coordinate walk along the same route or never cross routes Explain your answer

Previous Problem Problem List Next Problem 1 point A ferris wheel is 40 meters in diameter and boarded at ground level The wheel makes one full rotation every 4 minutes and at time t 0 you are at the 9 o clock position and descending Let f t denote your height in meters above ground at t minutes Find a formula for f t f t help formulas

An airplane has an air speed of 230 miles per hour and a compass heading of 140 degrees A steady wind of 45 miles per hour is blowing in the direction of 181 degrees What is the plane s true speed relative to the ground What is the compass heading relative to the ground

16 Write a system of two equations that can be solved by elimination in which one or both of the equations first needs to be multiplied by a constant Explain how one of the variables can be eliminated