Answer:
Step-by-step explanation:
we are given a exponential function
where x represents the number and f(x) represents the amount
we are also given that when x is 3 then f(x) is 59 likewise when x is 6 then f(x) is 2165
to figure out the average rate of change between 3 and 6 we can consider the average rate of change formula given by
substitute what we have:
simplify substitution:
simplify division:
hence, the average rate of change between 3 and 6 is <u>7</u><u>0</u><u>2</u>
4a.4²x +3=1
Slotuion:
4²x + 3=1 : <em>x</em>= -⅛ (Decimal:<em>x</em>= -0.125)
Steps
4² x +3=1
4²=16
16x + 3=1
Subract 3 from borh sides
16x +3-3=1-3
Simplify
16x=-2
Divides both sides by 16
![\frac{16 \times }{16} = [tex] \frac{ - 2}{16}](https://tex.z-dn.net/?f=%20%5Cfrac%7B16%20%5Ctimes%20%7D%7B16%7D%20%3D%20%3C%2Fp%3E%3Cp%3E%5Btex%5D%20%5Cfrac%7B%20-%202%7D%7B16%7D%20)
[/tex]
Simplitfy
Simplify
<em>x</em> = -⅛
therefore the answer is <em>x</em><em>=</em><em> </em><em>-</em><em>⅛</em>
4b.ex-1 -5 =5
x~=3.30258
explanation:
e^(x-1)-5=5
e^(x-1)=10
x-1=ln 10
x-1~=2.30258
x~=3.30258
Answer:
$6,400
Step-by-step explanation:
9100-1100
8000
8000×1/5
$1600
8000-1600
$6,400
It is 4 because 3 times 4 equals 12
