<span>If f(x) = 2x + 3 and g(x) = (x - 3)/2,
what is the value of f[g(-5)]?
f[g(-5)] means substitute -5 for x in the right side of g(x),
simplify, then substitute what you get for x in the right
side of f(x), then simplify.
It's a "double substitution".
To find f[g(-5)], work it from the inside out.
In f[g(-5)], do only the inside part first.
In this case the inside part if the red part g(-5)
g(-5) means to substitute -5 for x in
g(x) = (x - 3)/2
So we take out the x's and we have
g( ) = ( - 3)/2
Now we put -5's where we took out the x's, and we now
have
g(-5) = (-5 - 3)/2
Then we simplify:
g(-5) = (-8)/2
g(-5) = -4
Now we have the g(-5)]
f[g(-5)]
means to substitute g(-5) for x in
f[x] = 2x + 3
So we take out the x's and we have
f[ ] = 2[ ] + 3
Now we put g(-5)'s where we took out the x's, and we
now have
f[g(-5)] = 2[g(-5)] + 3
But we have now found that g(-5) = -4, we can put
that in place of the g(-5)'s and we get
f[g(-5)] = f[-4]
But then
f(-4) means to substitute -4 for x in
f(x) = 2x + 3
so
f(-4) = 2(-4) + 3
then we simplify
f(-4) = -8 + 3
f(-4) = -5
So
f[g(-5)] = f(-4) = -5</span>
Answer:
$15, $20
Step-by-step explanation:
Let u represent the unit price of umbrellas and h the unit price of hats.
Case 1: A. spent $80.
Then $80 = 4u + 5($4), or $80 = $20 + 4u, or $60 = 4u, or
u = $15/umbrella.
Case 2: A spent $100.
Then $100 = 4u + 5($4), or $100 = $20 + 4u, or $80 = 4u, or
u = $20/umbrella.
The least A. could have spent on a single umbrella was $15, and the most was $20.
The first thing you should observe in the graph is that
6x + 4y = 24 is a line with a negative slope.
2x-4y = -8 is a line with positive slope.
After you identify the functions you can choose the correct affirmations.
The x-coordinate of the solution is 2. The y-coordinate of the solution is 3. The ordered pair that is the solution to the system lies in Quadrant I.
Roughly 25 because she basically ate 4 slices
