We have a circumference that is given by the following equation:
We can write this equation in its standard form as follows:
On the other hand, the linear function is given as the following table:

To check if the circle and the line intersects, let's substitute the equation of the line into the equation of the circle to see if there is a real solution, so:

Finally the intersects are:

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Answer:
m = - 3
Step-by-step explanation:
a³ + 27 ← is a sum of cubes and factors in general as
a³ + b³ = (a + b)(a² - ab + b²), thus
a³ + 27
= a³ + 3³
= (a + 3)(a² - 3a + 9)
comparing a² - 3a + 9 to a² + ma + 9, then
m = - 3
There are two expressions which do not match with the written descriptions to ist right.
Those are:
1) (4x - 3)^2 - 1: see that the written description does not square the difference of 4x and 3
2) 3(5x^2 + 14x + 7): see that the written description tells that 5 is added to the square ox x, which is not what the expression shows.
The other 4 expressions match with the written descriptions.
So, you can choose those other 4 expressions.
<em>T= 250 + 45a.</em>
<em>Since the cost of the medicine costs $250, and there is $45 dollars per appointment then 45 a would represent the 45 dollars for every appointment she chooses to have.</em>
<em>Hope this helps and have a nice day.</em>
<em>-R3TR0 Z3R0</em>