Algebra Questions

Solve 3x 4 4x 8 3 8x 1 X

Solve 7x 3 2x 13 O x 55 or 5 16 O x 2 9 Ox 1 10 O x 2

1 REVIEW SUM 1 Q2 Find the slope of each line GIVEN a graph or an equation 2 2 3 25 5y 8 x Find the slope of the line through each pair of points 5 12 7 19 15 6 Find the slope of each line 5 7 y x 2 3 V 4 4 x 3 3y 6 10 2 7 16

REVIEW SUM 1 Q2 Write the point slope form of the equation of the line through the given point with the given slope 9 8 through 2 1 slope 1 A y 2 x 1 B y 2 x 1 C y 1 x 2 D y 1 x 2 10 through 3 2 and 5 2 A 0 x 3 C y 2 0 A y B y Write the point slope form of the equation of the line through the given points 11 11 through 2 4 and 5 2 A y 4 2 x 2 B y 4 x 2 C y 2 x 4 D y 2 x 4 5 x 9 through 5 5 slope x 5 B 0 x 2 D 0 x 3 5 C y 5 x D y 5 9x A y 5 x 3 Write the point slope form of the equation of each line given the slope and y intercept 12 Slope 9 y intercept 5 13 9 x 5 B y 5 x 5 2 C y 5 x 5 D y 5 x 5 4 3 1 3 A y x 2 C y 2 x 13 Slope y intercept 2 B y x 2 D y 2 1 3 x

vete Non homologous end Soming is present throughout the cell cycle but is particularly common G1 phases whereas HDR predominates in the 5 and 12 phases when a homloy sister druand as a template for repair ed as an emergency solution to the repair of double strand breas In this process broken andre and rejoined by DNA ligation generally with the loss of one or more nucleotides at the site of ge in this process is the recognition of the broken ends by a heterodimer Ku70 and usu pro pendent protein kinase DNA PK to act Phosphorylation by this kinase trggers recruitment of end actors including the nuclease Artemis that trim the DNA ends making the compatible for gation s both endo and exonuclease activities and trims the ONA ends The final joining of double strand ed out by the DNA ligase IV in association with XRCC4 A Non Homologous End Joining Double strand break Ku70 Ku80 heterodimer DNA PK Artemis XRCCA and DNA ligase IV Error prone repair Ertion or deletion i e indel mutations B Himology Directed Repair Homologous template D x Error free DNA repair 124 A Non homologaus end joining NHEI is a homology independent repair pathway that is initiated by g of Ku70 Ku80 heterodimers to the broken DNA ends Ku70 KUBo heterodimer binds to ONA ends with high Cu then recruits the Ser The kinase DNA PK DNA dependent protein kinase to phosphorylate a number of am targets including the terminal end processing enzyme Artemis that cleaves single stranded avemangs ligase IV and the scaffold protein XRCC4 which catalyse the ligation of DNA ends B Homology directed repair a process of homologous recombination where a DNA template is used to provide the homology necessary e repair of a double strand break DSB ene conversion and repair of DNA may lead to the replacement of one allele by another This phenomenon is known as on It is a byproduct of the recombinational repair mechanism It involves homologous recombination ted by DNA double strand break Gene conversion mediates the unidirectional transfer of genetic om a donor sequence to a highly homologous acceptor Most gene conversion is derived from the air of the heteroduplex DNA that is formed between the donor and acceptor DNA sequences f gene conversion from heteroduplex DNA As we have discussed in the case of a double strand of homologous recombination recombination forms hybrid heteroduplex DNA malecules with two y strands from different DNA If the two strands in a heteroduplex come from chromosomes with s there will be a mismatch of bases in the heteroduplex DNA The mismatch correction probably the resolution of the double Holliday junctions It is the broken strand that is usually corrected using

n k 1 2 k 3 i 2 j 0 3i j k

9 Show that if the first and second columns of the 3x3 determinant in number 8 interchanged the value of the determinant changes sign

Determine whether the statement can be assumed from the given figure Explain 10 12 27 and 29 are vertical angles Select Choice the angles are Select Choice and are Select Choice by two intersecting line

s stepped onto an escalator moving at a constant rate The table below shows his distance from the first floor after different Time seconds 6 9 Distance centimeters 980 890 swer the following questions 12 15 800 710 a Choose the statement that best describes how the time and his distance from the first floor are related Then give the value requested O As time increases his distance from the first floor decreases At what rate is his distance from the first floor decreasing centimeters per second As time increases his distance from the first floor increases At what rate is his distance from the first floor increasing centimeters per second b What was Boris s distance from the first floor when he stepped onto the escalator centimeters 8 08 X

The function f x x 8 X 4 is one to one For the function a Find an equation for f x the inverse function b Verify that your equation is correct by showing that f f x x and f f x a Select the correct choice below and if necessary fill in the answer box to complete your choice Simplify your answer Use integers or fractions for any numbers in the expression O A f x for x OB f x O c f x OD f x for x 2 for x for all x

Sketch the graph of the polynomial function Use synthetic division and the remainder theorem to find the zeros 3 f x x 31x 30 What are the zeros of f x x 31x 30 X Use a comma to separate answers as needed Choose the correct graph below O A 250 1 OB O C O D FA

The graph of a function is given Determine whether the function has an inverse function Does the given function have an inverse function O Yes O No B 3 Lof Q U

Question 15 The phone company NextFell has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used on the phone If a customer uses 440 minutes the monthly cost will be 68 If the customer uses 900 minutes the monthly cost will be 114 A Find an equation in the form y mx b where is the number of monthly minutes used and y is the total monthly cost of the NextFell plan Answer y B Use your equation to find the total monthly cost if 731 minutes are used Answer If 731 minutes are used the total cost will be Question Help Video Message instructor dollars

Given that the polynomial function has the given zero find the other zeros f x x 10x 41x 50 2 The other zero s is are Do not factor Use a comma to separate answers as needed Express complex numbers in terms of i Type each solution only once

Fill in the information about the parabolas below a For each parabola choose whether it opens upward or downward b Choose the parabola with the widest graph c Choose the parabola with th narrowest graph 2 y 4x Choose one y 12 X 4 Choose one y 12 X 3 Choose one 2 y x Choose one O

Fill in the information about the absolute value functions below a For each function choose whether its graph opens upward or downward b Choose the equation with the widest graph c Choose the equation with the narrowest graph V Choose one O O y 1 x Choose one Choose one O O y O y 2 x Choose one

potential rational zeros 5 7x 22 C Which of the following choices lists all the potential r OA 1 2 11 22 OB 0 11 12 11 22 OC 11 22 OD 1 2

Find the domain of the function 3 9 x 4 x 9 f x What is the domain of f

Find the volume of the solid Round to two decimal places when necessar Cube 70mm 2 058 000 mm 343 000 mm3 4900 mm 29 400 mm3 4

Given P x 2x5 4x x 5 what is the exact number of real and complex zeros of P x respectively A 5 0 B 4 1 C 3 2 D 1 4

CHOICE DO QUESTION 1 or QUESTION 2 5 Marks Deter Determine an equation for the family of quadratic functions with roots 5 3

Find x correct to one decimal place 30 y 25 X Ask Studybuddy O 12 5 O 28 9 14 4 O C 27g 3g

1 What is the formula for Radical form and what do m and n represent

For the following exercise solve the rational exponent equation Use factoring where necessary x2 32

Divide and simplify 25b 5b 5b 2 25b 5h

Use the distributive law to find the product 5a 1 ai 1

2 Use the distributive law to find the product 4x x x

Consider the equation 13 2a 6a 3 Which two of the following show a correct equation after all variables are moved to one side of the equation Remember Tr A B Choose one of the variable terms Move it to the other side of the equation by adding its additive in both sides of the equation NOTE There are two correct answers to this problem 13 8a 3 13 8a 3 C 13 4a 3 13 4a 3

Use synthetic division to find the following quotient 3 2 x 1 8x 2x x 2 x 1 8x 2x x 2 11 Simplify your answer

Find the product of the polynomials 4a 7 9a 3a 1 4a 7 9a 3a 1

A baby weighs 14 pounds at 5 months and 21 pounds at 10 months Write an equation in slope intercept form that relates the baby s weight y to the baby s age x Use no spaces Use the equation to find how much the baby weighed at birth How many pounds did the baby gain at 12 months pounds pounds

Multiply 5v 2f 5v 2f 5v 2f 5v 2f Simplify your answer

Divide using synthetic division 3x 8x 35 x 5 2 3x 8x 35 x 5 Simplify your answer

Find the following special product 2 8x y 2 0 Ou 16

Multiply vertically x 2x 9 2x 8x 3 x 2x 9 2x 8x 3 Simplify your answer

Divide using synthetic division 3 y 10y 15 y 4 3 y 10y 15 v 4

following que Click here to watch the video Use synthetic division to find the quotient 5x 3x 5x 5 x 2 3 2 5x 3x 5x 5

Find the quotient x 25x 5x x 25x 5x 4 5x 5 x 25x 5x 4 5x Simplify your answer Use positive exponent

Click here to watch the video Divide the polynomial by the monomial Check the answer by showing that the product of the divisor and the quotient is the dividend 4 33x 39x 6x 3x 2 33x39x 6x 3x Simplify your answer

b The graph of y g x is shown Draw the graph of y g x X S

Define the function formula for each of the following given the function definitions for f g and h f x x 4 g x 3z 5 7 h z r a f g x b g f x c h f x It Preview syntax error Preview Preview

Using the intermediate value theorem determine if possible whether the function f has at least one real zero between a and b 3 2 f x x 5x 6x 9 a 8 b 1 Select the correct choice below and if necessary fill in the answer boxes to complete your choice and f b O A By the intermediate value theorem the function has at least one real zero between a and b because f a O B By the intermediate value theorem the function does not have at least one real zero between a and b because f a O C It is impossible to use the intermediate value theorem in this case Simplify your answers and f b Simplify your answers

a The graph of y f x is shown Draw the graph of y f x X

Morbidity and mortality statistics of a fictitious town in North Carolina 2019 Population size Total population in 2019 Age and or gender specific data All persons 55 years of age and older Women 15 44 years of age Births Total live births in 2019 Deaths Total deaths in 2019 Age and or cause specific death data Fetal deaths Infant deaths Deaths of persons 55 years and older Morbidity Deaths from cancer Deaths from stroke Deaths from heart disease Deaths from cancer among persons 55 years and older Total persons with heart disease Persons newly diagnosed with heart disease in 2019 This table is also viewable in PDF here Calculate 2 measures of morbidity and show your work 2a The overall risk population 167 000 51 000 36 000 2 800 1 985 24 40 722 88 39 121 35 4 381 289 cumulative incidence of heart disease in 2019 per 1 000 2b The prevalence of heart disease in this town reported as a percent per 100 population

37 Which point is located in the third quadrant on a coordinate grid A 5 6 B 1 5 C 3 4 D 7 2

ANALYZE A catalyst is used to increase the rate of a chemical reaction The reaction rate or the speed at which the reaction is where x is the concentration of 3 occurring is given by Rix the catalyst solution in milligrams of solute per liter What does the end behavior of the graph mean in the context of this experiment x 10 Reaction Rate 2222 8 0 2 1 40 120 160 Concentration mg L

A 12 year cohort study was conducted to examine the association between periodontitis gum disease and myocardial infarctions heart attacks in a representative sample of older adults Among 7 500 adults with periodontitis 174 suffered a myocardial infarction Among the 37 500 adults free of periodontitis 344 new cases of myocardial infarction were observed over the study period Show your work Use per 1 000 where appropriate Remember to include proper UNITS cases per population per study period What is the incidence of myocardial infarction among adults free of periodontitis

100 Correct 100 Correct 100 Correct O Macmillan Learning A desalination process reduces the amount of salt in a container of salt then the amount of salt remaining after t hours is modeled by S 35 x 0 96 grams Make a graph of the amount of salt remaining after t hours Suggestion You may zoom in to the graph to manage points easier alogad

b The graph of y g x is shown Draw the graph of y g x kt 8 6 4 2 6 17 2 2 8 X X

int B Show that int A B int A