Answer: option D. 2x^2 + (3/2)x - 5
Explanation:
1) polynomials given:
f(x) = x/2 - 2 and g(x) = 2x^2 + x - 3
2) question: find (f + g) (x)
That means that f(x) + g(x), so you have to add up the two polynomials given.
3) x/2 - 2 + 2x^2 + x - 3
4) Combine like terms:
a) terms with x^2: you only have 2x^2, so it is not combined with other term.
b) terms with x: x/2 + x
that is a sum of fractions: x/2 + x = [x + 2x] / 2 = 3x / 2 = (3/2)x
c) constant terms: - 2 + (-3) = - 2 - 3 = - 5
5) Result: 2x^2 + (3/2)x - 5
That is the option d.
A]
Amount of earning per hour=$8.59
Amount of David's benefits=18/100×8.59=:1.5462
Amount that David earn per hour including benefits is given by:
8.59+1.5462=$10.1362
b]Amount that David earns in 35 hour a week will be:
(amount per hour)*(number of hours)
=8.59*35
=$$300.65
C] amount earned by David including benefits will be:
(amount earned in 35 hours)+(total benefits in 35 hours)
total benefits=1.5462×35=$54.117
thus total amount will be:
300.65+54.117
=$354.767
Answer:
let x=rate of the rowing team in still water
x+4=rate of the rowing team with current
x-4=rate of the rowing team against current
travel time=distance/rate
..
90%2F%28x%2B4%29=10%2F%28x-4%29
90x-360=10x+40
80x=400
x=5 rate of the rowing team in still water=5 mph
Hello
The correct number would be 0.8333
Have a nice day
