The value of a dirt bike decreases by 30% each year. If you purchased this dirt bike today for $500, to the nearest dollar how m
1 answer:
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Answer:
see explanation
Step-by-step explanation:
Using sum to product identities
cos x - cos y = - 2sin( )sin(
) = 2sin(
)sin(
)
cos x + cos y = 2cos( )cos(
)
Note that
sin10° = sin(90 - 10)° = cos80°
Thus
← cancel 2 from numerator/ denominator
= ×
= tan45° × tan35° { tan45° = 1 ]
= 1 × tan35°
= tan35° ← as required
Both ways to write it our
- Zero Product Property: if a × b = 0, then either a or b = 0 or both a and b = 0.
(Make sure to set f(x) to zero)
So for this equation, I will be factoring by grouping. Firstly, what two terms have a product of -5x^2 and a sum of 4x? That would be 5x and -x. Replace 4x with 5x - x:
Next, factor 5x^2 + 5x and -x - 1 separately. Make sure that they have the same quantity on the inside:
Now you can rewrite the equation as:
Now apply zero product property to the factors to solve for x:
<u>The x-intercepts are (1/5 ,0) and (-1,0).</u>