Quadratic equations Questions and Answers

Find the standard equation of the circle having the given center and radius 5 3 Center 3 5 Radius The equation of the circle is Type an equation Type your answer in standard form Use integers or fractions for any numbers in the equatic

11 Solve each inequality and graph its solution 10 3 8a 2 3 2 4 14 96 A No solution 4 3 2 0 11 2 9n 3 8 4 8 7 35 A 3 2 n 2 3 1 B 2 6 a 1 3 4 3 2 1 0 1 2 3 4 C a 4 9 or a 2 2 6 D a 4 2 or a 3 7 4 23 10 9 8 7 6 5 4 3 2 1 0 1 2 3 1 7 6 5 4 3 2 1 0 1 2 3 4 5 6 5 678 B n 2 5 or n 0 5 C All real numbers 7 6 5 D 2 5 n 0 5 5 678 4 9 8 7 6 5 4 3 2 1 0 1 2 3 1001 9 8 7 6 5 3 2 1 0 1 2 3 0 1 2 3 4 5 6 7 0

iply x 2 213 Simplify your answ

Find the product Write the result as a polynomial in standar x 7 x 7 x 7 x 7

Assume S 0 9Y 17 describes the projected relationship between S sales of a company in millions of dollars for Y years fro today Express the equation using only units of measure O million dollars dollars dollars year million dollars years years dollar million dollars million dollars month months million dollars years dollars dollars year million dollars years million dollars year years million dollars years million dollars i

Assume S 0 6Y 24 describes the projected relationship between S sales of a company in millions of dollars for Y years from today What are the units of 0 6 and what does it represent The units of 0 6 are and it represents

The relationship between the balance B in dollars left on a mortgage loan and N the number of monthly payments is given by B 202 200 650N What does 202 200 represent

Consider the equation G 13 000 60n a Find the value of G for n 0 1 20 n 0 G n 1 G n 20 G i MI b Express your answers to part a as points with coordinates n G Give the answers in increasing orde T

From the figure below estimate the weight W of a baby girl who is 1 5 months old Then use the equation W 7 0 1 54 to calculate the corresponding value for W Enter the exact answer Weight in pounds W 20 15 10 0 2 Age in months Figure Median weight for girls

Which of the following values are solutions to the inequality 4 2 4x Answer None II only I and II II and III I 4 II 1 III 2 I only III only I and III I II and III

Given a continuous time signal as in Figure 1 x t i Sketch and label each of the following ii x t 1 1 y 4t 1 0 Figure 1 2

2 Use the graph of p n below to answer the following questions pin 2 4 2 2 2 4 6 n a What is p 1 b What is p 0 c Solve p n 1 d Solve p n 0 e For which values of n is p n 1 f Solven n

Identify any relative maxima or minima and intervals on which the function is decreasing and increasing The relative maximum is at x The relative minimum is at x On which intervals is the function increasing OA 8 2 and 2 0 14 8 1 50 Ay 2 19 50 10 o o

Oil Rig Oil Pipeline Water N 16 Miles Land Refinery An Oil Rig is located a 8 miles from a straight coastline An Oil Refinery is located 16 miles down the coastline The cost of putting in a pipeline from the Oil Rig to the Oil Refinery depends on whether it is on land or in the water Rather than coming directly to the shoreline and then turning at a Right Angle suppose that the Oil Pipeline met the shore at a point b 4 miles from the Right Angle If the cost is 8000 per mile for land and 15000 per mile for water what is the cost of the Pipeline

A teacher wishes to distribute 42 identical pieces of cand among 4 students based on how many pages of a book they read last month The table below lists the total number of pages read by each student Child Pages Sam 630 Garrett 180 Apportion the candy using Jefferson s method Sam s final apportionment Garrett s final apportionment Damien s final apportionment Jason s final apportionment Damien 205 Jason 355 only type the number of candy

Based on the enrollment figures from the previous year a community college expects the total enrollment in mathematics courses broken down by course to be that given in the table below The college employs 15 mathematics professors and they each teach five sections The mathematics department chair decides to apportion the classes among the six courses according to the expected enrollment Apportion the classes using Hamilton s method Round all values to three decimal places when showing work Course DMA Algebra T Course Enrollment 862 561 11 Quota Hamilton s Final Apportionment

e the laws of exponents to simplify 7 8 3 7 44 48 Simplify your answer Type exponential notation with positiv

Given the functions a H x 4 5x x B t 4 4t Find H B 2 G t H B t G t H 4 3 B 2 G t H t 2 3 B t

Function 7 Find each value if f x 2x 4 and g x x 4 f 12 b f 6 12 2612 4 24 4 f 20 g 5 c f 2b F 6 21 63 41 26 262514 12 4 f g a 9 F 1016 g g t d f 4 5 flugts h g b

Find the product 3b b 7 b 3 3b b 7 b 3 Simplify your answ

Perform the indicated operation 5w w 4 w 2 5w w 4 w 2 Simplify your answe

Perform the indicated operation x 6y x 6y x 6y x 6y

Find the following product Express the answer as a poly 5x 4 2 r 32

Find the product y 4 3y 2y 1 x 4 3y 2x 1 Simplify your

Find the product 1 1 x 6x 12 x 2 1 x 6x 12 x 2 Simplif

Find the product 7x 4 x 5x 1 17x 1 x 5x 1 1 Simplify your ar

Find the special product 2 3 2 2 3 X 2

Find the product x 4y x 4v Simplify your ans

Find the special product x 8 x 8 Simplify your answer

Find the product using the FOIL method x 6 x 3 x 6 x 3

Find the product of the sum and difference of two term 2x 1 2x 1 2x 11 2x 11 Simplify your answer

Find the product x 5 x 5 EXLEX Simplif

Find the product y 3 y 7 y 3 y 7 Simplify your answ

Use the distributive property to find the product 2m 3y 2m 5y 2m 3y 2m 5y Simplify your answer

NO 4 Elena bikes 20 minutes each day for exercise Write an equation to describe the relationship between her distance in miles D and her biking speed in miles per hour when she bikes a at a constant speed of 13 miles per hour for the entire 20 minutes b at a constant speed of 15 miles per hour for the first 5 minutes then at 12 miles per hour for the last 15 minutes

Factor the perfect square completely 2 2 9x 6x 1

Factor the following difference of two squares completely 6 m 100n C

Factor the difference of two squares completely 2 x 81

Factor the perfect square completely 6w 24w 24

Factor the following polynomial completely x 4x 4 2

Find the product using horizontal multiplication 3y 4 y 4y 3 v 2

Find the product using vertical multiplication 2y 5 y 4y 3 2v 5 y 4y 3 Simplify your answer

Find the product using vertical multiplication x 6 x 6x 7 x 6 x 6x 7

Simplify the expression y 4 y 4y 16 y 4 y 4y 16

Find the product 3x 3y The answer is

Find the special product x 7 2 S 1 5

Multiply using the rule for the square of a binomial x 10 101

The polynomial x 2xy y is referred to as a linear cubic trinom

Find the product n 11p n 11p n 11p n 11p 11 Simplify your ans

Find the product x 6 x 6 x 6 x 6 Simplify your answer