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- The equation :
Area = length x width
- Substitute the values in :
Area = (x - 5)(x - 5 + 22)
(Note : the 'x' is for the algebraic expression x in the example above)
- Now you have to simplify the second parenthesis:
Area = (x - 5)(x + 17)
- Now expand :
Area = x^2 + 17x - 5x - 85
- Simplify by collecting like terms :
Area = x^2 + 12x - 85
(Note : x^2 means x squared)
Now you have your answer as:
x^2 + 12x - 85 feet^2
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480⁰= 360⁰+120⁰
or
480⁰-360⁰=120⁰
You need to remove all 360 angles, sometimes it can be more than one in it.
Coterminal angle is 120⁰.
Answer:
solution
given=3a+3a^2+3a^3+....+...+...3an
first term(t1)=3a
second term(t2)=3a^2
third term(t3)=3a^3
for arithmetic mean ,d1=d2
d1=t2_t1=3a^2_3a=3a(a_1)
d2=3a^3_3a^2=3a^2(a_1)
here d1 is not equal to d2.
so it's not an arithmetic series.
Again,for geometric mean,r1=r2
r1=d2/d1=3a^2/3a=a
r2=d3/d2=3a^3/3a^2=a
here ,r1 is equal to r2.
so ,it's an geometric series.
Answer:
The function is ![f(x) = 4(\sqrt[3]{16} )^{2x}](https://tex.z-dn.net/?f=f%28x%29%20%3D%204%28%5Csqrt%5B3%5D%7B16%7D%20%29%5E%7B2x%7D)
.
Step-by-step explanation:
We have to choose from options the exponential function which has a simplified base of 4∛4 i.e. ∛(256).
Now, the exponential function in the option III will be the answer.
The function is .
So, the base is ![(\sqrt[3]{16} )^{2}](https://tex.z-dn.net/?f=%28%5Csqrt%5B3%5D%7B16%7D%20%29%5E%7B2%7D)
= ![\sqrt[3]{16^{2}} = \sqrt[3]{256} = 4\sqrt[3]{4}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B16%5E%7B2%7D%7D%20%3D%20%5Csqrt%5B3%5D%7B256%7D%20%3D%204%5Csqrt%5B3%5D%7B4%7D)
. (Answer)
The general formula of an exponential function is 
, where b is called the base of the function.
