What is the volume of this prism?
1 answer:
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The graph of the parent cube root function which is ![y= \sqrt[3]{x}](https://tex.z-dn.net/?f=y%3D%20%20%5Csqrt%5B3%5D%7Bx%7D%20)
passes from the origin. We have to find the graph of ![y=\sqrt[3]{x-5}](https://tex.z-dn.net/?f=y%3D%5Csqrt%5B3%5D%7Bx-5%7D%20)
Addition or subtraction of a number from the function argument i.e. x, shifts the graph horizontally. Addition of a number to the arguments moves it to left, while subtraction of a number moves it to right. 5 is being subtracted from the function argument x. This means the graph of parent cube root function will be shifted 5 units to the left without any change in the vertical direction.
The final picture shows such a graph. So the correct answer is option D
Addition or subtraction of a number from the function argument i.e. x, shifts the graph horizontally. Addition of a number to the arguments moves it to left, while subtraction of a number moves it to right. 5 is being subtracted from the function argument x. This means the graph of parent cube root function will be shifted 5 units to the left without any change in the vertical direction.
The final picture shows such a graph. So the correct answer is option D
The probability that a randomly selected two digit positive integer will be a multiple of 11 is
<u>Solution:</u>
Number of sample space n(S):
Total number of two digit positive integers = 90
Favorable event P(A):
Two digit multiples of 11 =
Number of favorable outcome n(A):
Total number of two digit multiples of 11 = 9
Let us consider the requires probability as P(A); number of favorable outcomes as n(A) and the number of sample space as n(S).
The probability formula is as follows,
On substituting the values in the above formula we get,
On simplifying the above equation we get,
The required probability is