Answer:
Ok:
Step-by-step explanation:
So f°g . means f(g(x)). (The ° should be more center and bigger but I don't know to do that on a keyboard). f(g(x)) means that you replace the x in f(x) with the g(x) function. i.e:
if f(x) = 2x+2
and g(x) = 
f(g(x)) =
.
Similarly, in this case, we get f(x) = 2x-3 and g(x) = 3x-2.
Then, f(g(x)) or f°g(x) is 2(3x-2) - 3.
And we plug in -2 to solve:
2(3(-2)-2)-3.
and get -19.
Check if I am wrong because everyone makes mistakes but that is the way to solve this.
Answer:
280m
Step-by-step explanation:
Work rate would be (210m)/(45people)(60days)=7/90 m/(people)(day)
7/90 m/(people)(day) * 72people * 50days =280m
If Lee starts with 100 pennies and adds groups of 10, the operation is addition. Since she does this 5 times, there is 5 different numbers Lee said.
100 + 10 = 110
110 + 10 = 120
120 + 10 = 130
130 + 10 = 140
140 + 10 = 150
Thus, all of the numbers she said were 110, 120, 130, 140, and 150.
Hope this helps! :)
Step-by-step explanation:
Step one:
given
current (older) fridge
electricity charges= $17 monthly
maintenance costs= $220
let the number of months be x
and the total cost be yo
the expression for the cost for the old fridge is
yo=220+17x---------1
New fridge
electricity charges= $6 monthly
costs= $1,050
let the number of months be x
and the total cost be yn
the expression for the cost for the old fridge is
yn= 1050+6x---------2
Hence the system of equation for the situation is
yo=220+17x---------1
yn= 1050+6x---------2
Step two
for 10 years there are 12*10= 120 months
put x= 120 in both expressions and compare the total
yo=220+17(120)---------1
yo=220+2040
yo=$2,260
yn= 1050+6(120)---------2
yn=1050+720
yn=$1770
<u><em>Based on the analysis it will be less expensive to get the new fridge, hence buying the new fridge is worth it.</em></u>
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Answer:
Step-by-step explanation:
The speed against the wind is ...
4680 mi/(8 h) = 585 mi/h
The speed with the wind is ...
5720 mi/(8 h) = 715 mi/h
The speed of the airplane in still air is the average of these speeds:
(585 +715)/2 = 650 mi/h . . . speed in still air
The speed of the wind is the difference between the airplane speed and the speed in the wind:
715 -650 = 65 mi/h . . . speed of the wind
_____
<em>Additional comment</em>
If p and 'a' represent the speeds of the plane and the air, the speeds with and against the wind are ...
p + a = with
p - a = against
If we average these, we get ...
((p +a) +(p -a))/2 = (with + against)/2
p = (with + against)/2 . . . . . . . the formula we used above