Answer:
Step-by-step explanation:
When working with surds we need to take note of the roots present there.
To expand this equation we can do it the following way noting that √3 X √3 = 3
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<em>Expanding (1-√3)(⅓+√3)</em>
1 X 1/3 = 1/3
1 X √3 = √3
-√3 X 1/3 =-√3/3
√3 X √3 = 3
hence, expanding the equation, we have
1/3 + √3 -√3/3 + 3
We can simply group the like terms and add them up.
[1/3 +3] +[√3-√3/3]
10/3 + 
=
Answer: 5.0625 or 5 1/16
Step-by-step explanation:
im smart
1/4n-8=1/4 would be first because it says less than so you switch it. then you put the 8 since it's in the same subtraction problem. Then the word "is" indicates the equal sign. and the n represents "a number" since it is unknown.
Answer:
n = 6
Step-by-step explanation:
17n + 4n - 4 =122
combine like terms 17n & 4n
21n - 4 = 122
21n - 4 + 4 = 122 + 4
21n = 126
21n / 21 = 126 / 21
n = 6
Answer:
2017.
Step-by-step explanation:
The equation for the future sale of motorcycles
= 5.75(1.16)^t where t is in years
For cars it is
3.5(1.25)^t
3.5(1.25)^t > 5.75(1.16)^t
(1.25)^t > (5.75/3.5) 1.16^t
t ln 1.25 > ln 1.64286 + t ln 1.16
t ln 1.25 - t ln 1.16 > ln 1.64286
t (ln 1.25 - ln 1.16) > ln 1.64286
t > ln 1.64286 / (ln1.25 - ln 1.16)
t > 6.64 .
So the answer is in the year 2017.
