$1380 is the price of the bike, because $276 multiplied by 5 is $1380
The given question is a quadratic equation and we can use several methods to get the solutions to this question. The solution to the equation are 3/4 and -5/6 and the greater of the two solutions is 3/4
<h3>Quadratic Equation</h3>
Quadratic equation are polynomials with a second degree as it's highest power.
An example of a quadratic equation is

The given quadratic equation is 
Let's rearrange the equation

This implies that
The equation or formula of quadratic formula is given as

We can substitute the values into the equation and solve

From the calculations above, the solution to the equation are 3/4 and -5/6 and the greater of the two solutions is 3/4
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The answer is - 1 and 11/12.
Answer:
3 sin(41t) - 3 sin(t)
Step-by-step explanation:
The general formula to convert the product of the form cos(a)sin(b) into sum is:
cos(a) sin(b) = 0.5 [ sin(a+b) - sin (a-b) ]
The given product is:
6 cos(21t) sin(20t) = 6 [ cos(21t) sin(20t) ]
Comparing the given product with general product mentioned above, we get:
a = 21t and b = 20t
Using these values in the formula we get:
6 cos(21t) sin(20t) = 6 x 0.5 [ sin(21t+20t) - sin(21t-20t)]
= 3 [sin(41t) - sin(t)]
= 3 sin(41t) - 3 sin(t)
Therefore, second option gives the correct answer
Answer: D) 12
The factors of 12 are: 1, 2, 3, 4, 6, 12
The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36
The greatest common factor is 12.