Answer:
Text me back for an answer.
Step-by-step explanation:
Make sure you text back.
Answer:
f(x) = 3(2)^x
Step-by-step explanation:
The Table is:
<u>x</u> <u>f(x)</u>
-2 3/4
-1 3/2
0 3
1 6
2 12
The exponential funtion has the next form:
f(x) = a(b)^x
At x = 0, f(x) = a. Then, a = 3
Isolating b from the equation:
f(x)/a = b^x
ln(f(x)/a) = x*ln(b)
[ln(f(x)/a)]/x = ln(b)
At x = 1, f(x) = 6. Then:
[ln(6/3)]/1 = ln(b)
ln(2) = ln(b)
2 = b
Therefore, the function is f(x) = 3(2)^x
Answer:
Step-by-step explanation:
2n+15>3
Let x = the length of the rectangle
Let w= the width
Two sections are required, hence 2w of fence required
2x+3w=500
this can be written as:
3w=1500-2x
w=(1500-2x)/3
Area=x*w
replacing w with our expression:
A=x(1500-2x)/3
A=(500x-2x^2)/3
This is a quadratic equation, if we find the axis of symmetry we will know what value of x gives maximum area:
Axis of symmetry: x=-b/2a
From our equation we get:
a=-2/3; b=1500/3
thus
x=(1500/3)/(-(-2/3))
x=750
thus the maximum area will be given by length of 750
You want to get the total amount Henri has which is $14 then subtract the flat fee.
14-1.25=12.75, He has $12.75 left to pay for miles, Since the taxi charges .75 a mile, you get $12.75/.75= 17
Henri has enough to pay to ride 17 miles.
Hope this helps
