Answer: it would be the fourth one with the line going straight across the top
Step-by-step explanation: To use the vertical line test, take a ruler or other straight edge and draw a line parallel to the y-axis for any chosen value of x.
If the vertical line you drew intersects the graph more than once for any value of x then the graph is not the graph of a function.
im assuming i just pick two angles cause i cant see the options? two 90 degree angles.
and my name is teagan too :D
Answer:
(A)
with
.
(B)
with 
(C)
with 
(D)
with
,
Step-by-step explanation
(A) We can see this as separation of variables or just a linear ODE of first grade, then
. With this answer we see that the set of solutions of the ODE form a vector space over, where vectors are of the form
with
real.
(B) Proceeding and the previous item, we obtain
. Which is not a vector space with the usual operations (this is because
), in other words, if you sum two solutions you don't obtain a solution.
(C) This is a linear ODE of second grade, then if we set
and we obtain the characteristic equation
and then the general solution is
with
, and as in the first items the set of solutions form a vector space.
(D) Using C, let be
we obtain that it must satisfies
and then the general solution is
with
, and as in (B) the set of solutions does not form a vector space (same reason! as in (B)).
Answer: It would equal 1/27.
Step-by-step explanation: Any number raised to a negative exponent, essentially means you reciprocal to get rid of the negative. After that, you do the math for the number in the denominator, without considering the negative sign. You could also do it the other way, do the function first without the negative, 3^3 is 27 and then applying the negative, reciprocal it to 1/27.