Answer:
4x^2 - 4x - 3
Step-by-step explanation:
f(x) = 2x - 1
g(x) = x^2 - 4
g(f(x)) = ?
[substitute the x of g(x) with f(x)]
g(x) = x^2 - 4
g(f(x)) = (2x - 1)^2 - 4
[solve]
[binomial * binomial = quadratic equation]
[use FOIL method (first, outer, inner, last)]
g(f(x)) = (2x - 1)(2x - 1) - 4
g(f(x)) = (2x*2x) + (-2x) + (-2x) + (1) - 4
[combine like terms]
g(f(x)) = 4x^2 - 2x - 2x + 1 - 4
g(f(x)) = 4x^2 - 4x - 3
Answer:
As the least common multiple of two numbers is 60 , the two numbers are factors of 60 . Among {1,2,3,4,5,6,10,12,15,20,30,60} , 3 & 10 and 5 & 12 are the only two pair of numbers whose difference is 7 . But Least common multiple of 3 and 10 is 30
Ok so 8:12 can be 8 to 12, or 8\12
do that help?
Answer:
240 minutes or 4 hours
Step-by-step explanation:
So if it takes Erica 80 minutes to analyze the company's monthly credit card statements, she will get 30/80 of it done in 30 minutes.
If it takes Alexa 2 hours to analyze the company's monthly credit card statements, she will get 30/120 of it done in 30 minutes.
Add 15 to each of the fractions because they analyze the company's monthly credit card statements with Mack for 15 more minutes.
So you have 45/80 and 45/120.
Now add both fractions by finding the lowest common denominator which is 240.
135/240 + 90/240 = 225/240
So Mack did the remaining 15/240.
Now to find how long it would take him to analyze the company's monthly credit card statements by himself divide 240 by 15 which is 16.
Then multiply
15 x 16 = 240
so it would take him 240 minutes or 2 hours.
