The equation of a parabola is given by
where
is the vertex.
We have the vertex is (-3,-2) so we have
and
Substituting -3 and -2 into the
Hence, the correct answer is
option D
All you have to do is plug in the x and y values for each ordered pair into the left hand side of the equation and see if you get 15 = 15. If you do, the ordered pair is a solution; otherwise it is not a solution. For example, let's try (-2,-3); that is x = -2 and y = -3:
2x - 9y = 15
2(-2) - 9(-3) = 15
-4 - (-27) = 15
-4 + 27 = 15
23 = 15
This is obviously not true, so (-2,-3) is not a solution. Now you try it on each of the ordered pairs given in the problem statement.
Answer:
The statistic for this case would be given by:
Step-by-step explanation:
Infromation provided
n=100 represent the random sample selected
X=18 represent the people who rates Pepsi as being "concerned with my health"
estimated proportion of people who rates Pepsi as being "concerned with my health"
is the value that reference to compare
z would represent the statistic
Hypothesis to test
For this case we can assume that the interest is check if the proportion of people who rates Pepsi as being "concerned with my health" is equal to 0.1 or not
, then the system of hypothesis are:
Null hypothesis:
Alternative hypothesis:
The satistic for this one sample proportion test is given by:
(1)
Replacing the info given we got:
Answer: D
Step-by-step explanation:
Remember that the Opposite side to an angle is in the same order of length as the Angle. So, 
. Using Cross multiplication, this answer can be solved:
, 60 x 12 = 720, and 90 x 8 = 720. N = 8.
, 30 x 12 = 360, and 90 x 4 = 360. N = 4
Answer:
x=49
Step-by-step explanation:
Make x the only variable on the left by subtracting the 5 over.
this leaves you with x=54-5
this is equal to 49
