Answer:
g
Step-by-step explanation:
The maximum value occurs at gradient 0 (the stationary point).
In f this has a value (y) of 6.
In the equation example we have to differentiate:
dg(x)/dx = -x + 4
Gradient is 0 so 4 - x = 0 so x = 4
Plug g(4)=our maximum=-(1/2)4^2 + 4(4) + 3 = -8 + 16 + 3 = 11
11 > 6 so g has greater maximum.
[-2] - [4-15]
= [-2] - [-11]
= -2 + 11 = 9
Answer:
k
Step-by-step explanation:
Answer:
5/36 (I won't repeat it 3 times :-) )
Step-by-step explanation:
We just have to calculate the ratio of times an action movie played in the las year, that should be a good indication of the chances for an action movie to be played next, since the reference data is quite large. We're talking about a full year, no just a week or a month.
So, 15 action movies out of 108 movies...
The probability that next movie is an action movie is: 15 / 108 , or 5/36
That's roughly 1/7.
The dilation is a transformation in which the size of the preimage is
reduced by 0.5.
- The coordinates of the point Q' following the dilation of the point Q(0, 2) is
![\underline{Q' = (0, \, 1)}](https://tex.z-dn.net/?f=%5Cunderline%7BQ%27%20%3D%20%280%2C%20%5C%2C%201%29%7D)
Reasons:
The given rule for the dilation of QRST to the image Q'R'S'T' is presented as follows;
(x, y) = (0.5·x, 0.5·y)
The coordinates of the point Q' following a dilation of the point Q(0, 2) by
is therefore;
Q(0, 2)
(0.5 × 0, 0.5 × 2) = Q'(0, 1)
- The coordinates of
![\underline{Q' = (0, \, 1)}](https://tex.z-dn.net/?f=%5Cunderline%7BQ%27%20%3D%20%280%2C%20%5C%2C%201%29%7D)
Learn more dilation transformation here:
brainly.com/question/6814291