Write i in trigonometric form. Since |i| = 1 and arg(i) = π/2, we have
i = exp(i π/2) = cos(π/2) + i sin(π/2)
By DeMoivre's theorem,
i² = exp(i π/2)² = exp(i π) = cos(π) + i sin(π)
and it follows that i² = -1 since cos(π) = -1 and sin(π) = 0.
Since the only exclusion from the range is y=0, vertically scaling the graph by a factor of 6 doesn't change the range. (0 is still 0)
The appropriate choice is ...
<span>B: The range of both f(x) and g(x) is all nonzero real numbers</span>
Answer:
y = 90
Step-by-step explanation:
You can use proportions to answer this question.
Cross multiply 30 to -9; -3 to y
Isolate <em>y</em> by dividing -3 on both sides
Answer:
We'll use the variable x to represent last year's price. First, we have to set up an equation:
We get this equation because $13.25 is 6% MORE than last year's price, meaning we need to add the original price to the increase. Next, we combine like terms and solve for x:
Last year's price was $12.50.
Step-by-step explanation:
