Answer: f(x) = 64 * (3/4)^x
Step-by-step explanation: f(x)=ab^x
When x=0 f(x) = 64
64 = ab^0
b^0 =1 so
64 =a
f(x)=64 b^x
When x=1 f(x) = 48
48 = 64 *b
Divide by 64
48/64 =b
6/8 =b
3/4 =b
f(x) = 64 * (3/4)^x
I'll do 1 and 8, and you should then be able to do 2 and 9!
For 1, we can multiply these separately - 3*4*9=108 and 5+7+2=13 (exponent multiplication is adding them!), so we have 108b^13
For 8, we can again add the exponents up to get (5/7)^8
Answer:
C = 5/2 - 6/7
Step-by-step explanation:
Answer:
x = 1, y = -3
Step-by-step explanation:
see graph above ^
To find the x value of the max of
f(x)=ax^2+bx+c
when a is negative (if a is positive, we find the minimum)
we do
-b/2a is the x value
to find the y value, we just sub that x value back into the function
so
R(x)=-0.2x^2+60x+0
-b/2a=-60/(2*0.2)=-60/-0.4=150
x value is 150
make 150 units
sub back to find revenue
R(150)=-0.2(150)^2+60(150)
R(150)=-0.2(22500)+9000
R(150)=-4500+9000
R(150)=4500
max revenue is achieved when 150 units are produced yeilding $4500 in revenue
