Algebra question and answers for December 23, 2023
- Q Taylor is running a 26.2-mile marathon. Let x represent the number of miles Taylor has run since he started the race.a. Write an expression (in terms of x) that represents...
- Q Find the domain of the function.f(x)={(X+5) / (2-X)}The domain of the function is ____ (Type your answer in interval notation.)
- Q What number should not be included in the domain of the rational expression {(x+2)/(x-6)} ?In the rational expression {(x + 2 )/ (X-6)} the domain cannot include the number ___
- Q Solve (y-7)?/ = 4 where y is a real number. Simplify your answer as much as possible.
- Q You invested $3000 between two accounts paying 2% and 9% annual interest, respectively. If the total interest earned for the year was $200, how much was invested at each rate?$____...
- Q Use the formula E = t (s/?n) to find the value of E given the values of s, n, and ?. (Hint: The value of t is determined from the...
- Q Use the table in the Written Example to find A for the given values of x and d.f.x = 0.211 and d.f. = 2A =?
- Q Express the interval [5,7) as an inequality.
- Q Write the first five terms of the geometric sequence whose first term is 81, and whose common ratio is 1/3a?=?a?=?a? = a? = a?=
- Q For the following vector field, compute (a) the circulation on and (b) the outward flux across the boundary of the given region. Assume the boundary curve is oriented counterclockwise.F =...
- Q A culture of fungus starts with 5 units and grows according to the sequence defined by a?= 5.2??, where n is the number of fungus units at the end of...
- Q The bat population in a certain Midwestern county was 340,000 in 2021, and the observed doubling time for the population is 28 years.a). Find a function n(1) = n?2 ?/a...
- Q A couple wants to buy a $30,000 car and can borrow the money for the purchase at 5%, paying it off in 3, 4, or 5 years. The table to...
- Q Given the functions defined by f(x) =(4x - 1) and g(x) = 3x, find (f o g)(x).
- Q A person starts walking from home and walks:4 miles East, 7 miles Southeast, 3 miles South,1 miles Southwest and 2 miles East.This person has walked a total of ____ miles.Find...
- Q (f) The equation 3x = 7 in Z?? has a unique solution.True FalseJustification:(g) The equation 2x = 7 in Z?? has a unique solution.True FalseJustification:
- Q Find the LCD for the list of rational expressions.9x+1/x+5x-6, 5x/x+4x-5The LCD is____.(simplify your answer. Type your answer in either fully expanded or completely factored form.)
- Q Simplity the expression below1.){ ?45x - ?20x}
- Q A consumer organization estimates that over a 1-year period 17% of cars will need to be repaired once, 7% will need to be repaired twice, and 4% will require three...
- Q Find the inverse: f(x)= log? (x+3) . Present the answer using function notation, Select the correct answer below:O f-(x) = 2x - 3O f(x)=2x-3O f-(x) = 2? - 3O f(x)=2?-3
- Q [(-3)(-4)-(-5)(-2)]/((-2)(11))a). -11b). -1/11C).1/11d). -1
- Q Write the series with summation notation.1+8+27 +64 + 125+ 2161+8+27 +64 +125+216 =i=1??(Simplify your answer.)
- Q A room is half as long again as it is broad. The cost of carpeting the room at Rs. 5 per sq. m is Rs. 270 and the cost of...
- Q Which of the numbers cannot be representedby a repeating decimal?11/923/7Square Root of 34 1/3
- Q Write the arithmetic sequence 24,17,10,3,...24,17,10,3,... in the standard form: an=
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