<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>
It would cost $35 because 10.50 divided by 3 = 3.5x10=35
Answer:
y = -3x + 150
Step-by-step explanation:
2 points on the graph:
(30, 60) and (40, 30)
Slope:
m=(y2-y1)/(x2-x1)
m=(30 - 60)/(40 - 30)
m= (-30)/10
m= -3
Slope-intercept:
y - y1 = m(x - x1)
y - 60 = -3(x - 30)
y - 60 = -3x + 90
y = -3x + 150
Here,
Volume of cylinder = 539^3 cm
Circumference = 22 cm
Height = ?
Now,
Circumference = 2πr
or, 22 = 2*22/7*r
or, 22 = 44/7*r
or, 154/44 = r
◆ r = 3.5 cm
Then,
Volume of cylinder = πr^2h
or, 539 = 22/7*(3.5)^2*h
or, 539 = 22/7*12.25*h
or, 539 = 269.5/7*h
or, 3773 = 269.5*h
or, 3773/269.5 = h
◆ h = 14 cm
I hope it's help you...
I hope you understand...
Thanks♥♥
P(t) = [ 64/ (1 + 11.e⁽⁻⁰ ⁰⁸t⁾]
In 1991, t = 1, hence:
P(t) = [ 64/ (1 + 11.e⁽⁻⁰ ⁰⁸ˣ¹⁾] = 5.7377 billion or rounded 5.74 billion
(Answer A)
