Step-by-step explanation:
To write the equation in LaTeX in form y = ab^x or 
for y = abx .........(1)
(a) LaTeX: y=3\sqrt{4^{2x}} y = 3 4 2 x can be written in mathematical form as
; y = 342x
on comparing with equation (1) we get a =3 and b =4
⇒y = 34^x or 
(b) LaTeX: y=\frac{\sqrt[3]{5^{3x}}}{2} y = 5 3 x 3 2 can be written in mathematical form as
![y=\frac{\sqrt[3]{5^{3x}}}{2}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B%5Csqrt%5B3%5D%7B5%5E%7B3x%7D%7D%7D%7B2%7D)
; y = 342x
on comparing with equation (1) we get a =0.5 and b =5
⇒y = 
(c)LaTeX: y=8^{x+2} y = 8 x + 2 can be written in mathematical form as
on comparing with equation (1) we get a =64 and b =8
y = 
(d)LaTeX: y=\frac{3^{2x+1}}{\sqrt{3^{2x}}} can be written in mathematical form as
= 
= 
on comparing with equation (1) we get a =3 and b =3
y =
You can divide 20 by 10 and you should get 2, or do 20 divided by 2 and get 10.
Answer:
$1500
6 hours
Step-by-step explanation:
There is no one off fee, therefore we got (0,0) a starting point.
(1,125) is representing the first hour of rent, so 1 hour rent costs $125.
There is a direct relationship between the time and rental fee.
<u>As a function is will be:</u>
- f(x) = 125x, where f(x) is the total amount and x is the time in hours
<u>For x= 12, we get:</u>
<u>So, if f(x) = 750, then:</u>
- 750 = 125x
- x= 750/125
- x= 6 hours
<span>The correct option is: A. f(x) = 4sin(x − π/2), because:
</span>
1. When you evaluate x=π/2 in the function f(x) = 4sin(x − π/<span>2), you obtain:
</span>
f(π/2) = 4sin(π/2− π/2)
f(π/2) = 4sin(0)
f(π/2) = 4(0)
f(π/2) = 0 (As you can see in the graphic)
2. If you evaluate x=π in the same function, then you have:
f(π) = 4sin(π− π/2)
f(π) = 4sin(π/2)
f(π) = 4 (As it is shown in the graphic)
