Algebra Answers

Sarge completed 1/10 of his report in 4/5 of an hour. At this rate, how much of the report will Sarge complete in 1 hour? *

When a group of colleagues discussed where their annual retreat should take place , they found that of all the colleagues : 19 would not go to a park , 18 would not go to a beach 21 would not go to a cottage B would go to neither a park nora beach , 7 would go to neither a beach noca cottage 3 would go to neither park nor a cottage , 1 would not go to a park or a beach or a cottago , and 15 were willing to go to all three places . What is the total number of colleagues in the group ?

A streaming service charges $9/month the price increase to $10.50 next month. What is the percent increase?

Use the parent function f(x) and the description of the transformation to write the new function h(x).

Reflect the graph of f(x) = 2x − 5 across the y−axis and then translate it 2 units down.

[(4x^6)^3(4y^-8)/ (2x)^4(12y^3)^2]^1/2

Q1)MR. ANG INVESTED $865 IN A BUSINESS MAKING GIFT BASKETS. HE MAKES $13.28 FOR EACH GIFT BASKET THAT HE SELLS. WRITE A FUNCTION THAT REPRESENTS THE SITUATION. HOW MANY GIFT BASKETS MUST MR. ANG SELL UNTIL HE MAKES A PROFIT?'

Q2) The number of bacteria cells in a culture can be modelled by the function B(t)= -0.03(t-4)^2+12

You have given a function λ : R → R with the following properties (x ∈ R, n ∈ N):


λ(n) = 0 , λ(x + 1) = λ(x) , λ(n+1/2)=1

Find two functions p, q : R → R with q(x)6=0 for all x such that λ(x) = q(x)(p(x) + 1).

Determine the roots of the function f(x) = (5^(2x) − 6)^2 − (5^(2x) − 6) − 12

Find all points (x, y) where the functions f(x), g(x), h(x) have the same value :
f(x) = 2^(x−5) + 3 , g(x) = 2x − 5 , h(x) = (8/x)+ 10