The x-intercept of a function is the value of x when y is 0. So let's set sin(x) equal to zero. When does sin(x) equal zero? Based on the unit circle, you know that sin(0) is 0, so that is one x-intercept. You also know that sin(pi) is 0. Basically, every time x, starting from zero, increases or decreases by a multiple of pi, sin(x) is still zero. The answer can be represented by x=n*pi; where n=any integer.
Answer:
y = -2.5
Step-by-step explanation:
For such a problem as this, you can replace all sine or cosine functions with their midline value of 0. Then you have ...
f(x) = 0 -2.5
which simplifies to ...
f(x) = -2.5
You can leave the equation like this, or write it as ...
y = -2.5
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Perhaps you can see that the midline is the value of any constant added to a sine or cosine function.
20% off means you are paying 80% of the original price ( 100% - 20% = 80%)
Multiply the price of the tv by 80% to find the sale price:
500 x 0.80 = 400
Now multiply the sales price by 1 plus the tax rate to find final cost:
400 x 1.06 = 424
Final price including tax is $424
