Answer:
Step-by-step explanation:
g(x) = 3x + 5
g(3) = 3(3) + 5
g(3) = 9 + 5
g(3) = 14
-----------------------
f(x) = 2x² + 3
f(g(3)) = 2(g(3)) + 3
f(14) = 2(14²) + 3
f(14) = 2(196) + 3
f(14) = 392 + 3
f(14) = 395
-----------------------------
f(g(3)) = 395
Answer:


Step-by-step explanation:


to use the elimination you have to make one of the numbers same
so

and you would have to change the sign so that both of the 3x could cancel out.
New system of equation




so we know the y value so now you could find the x value take one equation



you could try it with both of the equations






Answer:
For right angle triangle,
we use Pythagoras theorem that is:

c = 
For question 1:
c = ?
a = 40
b = 9
putting them in formula,
c = 
c = 41
For question 2:
c = ?
a = 12
b = 13
putting them in formula,
c = 
c = approximately 17.69181
For question 3:
c = 35
a = 20
b = ?
putting them in formula,


1225 = 400 + 
= 1225 - 400
= 825

b = 5 
For question 4:
c = 37
a = 20
b = ?
putting them in formula,


1369 = 400 + 
= 1369 - 400
= 969
Taking square root on both sides
b = 31.12
Hope it helps.
Answer:
1109
Step-by-step explanation:
The first term is -27, and the common difference is 16.
The nth term is:
a = a₁ + d (n − 1)
a = -27 + 16 (n − 1)
a = -27 + 16n − 16
a = 16n − 43
The 72nd term is:
a = 16(72) − 43
a = 1109
Answer:
The answer to your question is 25%
Step-by-step explanation:
Data
Initial price = $2.00
Final price = $2.50
First we subtract the final price to the inicial price
increment = 2.50 - 2.00
= $0.50 It's the amount that the school increases to the community members
Now we use a rule of three to find the percent
$2.00 ---------------------- 100%
$0.50 --------------------- x
x = 0.50 x 100/2 = 50/2 = 25%