Determine if the graph is symmetric about the x-axis, the y-axis, or the origin.

r = 2 + 3 sin θ

choices:
no symmetry
y-axis only
x-axis only
origin only

Step-by-step explanation:

The given equation is

Notice that this equation is in polar form.

If can be replace with or , then the graph is symmetric to the line , which is a vertical line.

Let's evaluate the given equation.

But,

So,  

Notice that the change produces the same equation.

Therefore, the given polar expression is symmetric to , which is the y-axis only in the coordinate system.

So, the right answer is y-axis only.

b.an increase in a causes b to decrease

stew reads at the fastest rate of 265 words per minute.

step-by-step explanation:

it's a given that felicia reads at 260 word per minute and on connie's graph we can see that she reads 200 words per minute. since stew's table tells us that he read 795 in 3 minutes, we can divide 795 by 3 to find out how many words he reads per minute.

795/3 = 265

stew reads 265 words per minute - he reads at the fastest rate since felecia reads at 260 words per minute and connie reads at 200 words per minute.

stew (265) > felecia (260) > connie (200)